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Water97FluidProperties.h
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1 //* This file is part of the MOOSE framework
2 //* https://www.mooseframework.org
3 //*
4 //* All rights reserved, see COPYRIGHT for full restrictions
5 //* https://github.com/idaholab/moose/blob/master/COPYRIGHT
6 //*
7 //* Licensed under LGPL 2.1, please see LICENSE for details
8 //* https://www.gnu.org/licenses/lgpl-2.1.html
9 
10 #pragma once
11 
12 #include "SinglePhaseFluidProperties.h"
13 #include <array>
14 
15 class Water97FluidProperties;
16 
17 template <>
18 InputParameters validParams<Water97FluidProperties>();
19 
20 #pragma GCC diagnostic push
21 #pragma GCC diagnostic ignored "-Woverloaded-virtual"
22 
42 class Water97FluidProperties : public SinglePhaseFluidProperties
43 {
44 public:
45  Water97FluidProperties(const InputParameters & parameters);
46  virtual ~Water97FluidProperties();
47 
48  virtual std::string fluidName() const override;
49 
50  virtual Real molarMass() const override;
51 
52  virtual Real criticalPressure() const override;
53 
54  virtual Real criticalTemperature() const override;
55 
56  virtual Real criticalDensity() const override;
57 
58  virtual Real triplePointPressure() const override;
59 
60  virtual Real triplePointTemperature() const override;
61 
62  virtual Real rho_from_p_T(Real pressure, Real temperature) const override;
63 
64  virtual void rho_from_p_T(
65  Real pressure, Real temperature, Real & rho, Real & drho_dp, Real & drho_dT) const override;
66 
67  virtual Real e_from_p_T(Real pressure, Real temperature) const override;
68 
69  virtual void
70  e_from_p_T(Real pressure, Real temperature, Real & e, Real & de_dp, Real & de_dT) const override;
71 
72  virtual Real c_from_p_T(Real pressure, Real temperature) const override;
73 
74  virtual Real cp_from_p_T(Real pressure, Real temperature) const override;
75 
76  using SinglePhaseFluidProperties::cp_from_p_T;
77 
78  virtual Real cv_from_p_T(Real pressure, Real temperature) const override;
79 
80  virtual Real mu_from_p_T(Real pressure, Real temperature) const override;
81 
82  virtual void mu_from_p_T(
83  Real pressure, Real temperature, Real & mu, Real & dmu_dp, Real & dmu_dT) const override;
84 
85  virtual Real mu_from_rho_T(Real density, Real temperature) const override;
86 
87  void mu_from_rho_T(
88  Real rho, Real temperature, Real drho_dT, Real & mu, Real & dmu_drho, Real & dmu_dT) const;
89 
90  virtual void
91  rho_mu_from_p_T(Real pressure, Real temperature, Real & rho, Real & mu) const override;
92 
93  virtual void rho_mu_from_p_T(Real pressure,
94  Real temperature,
95  Real & rho,
96  Real & drho_dp,
97  Real & drho_dT,
98  Real & mu,
99  Real & dmu_dp,
100  Real & dmu_dT) const override;
101 
102  virtual Real k_from_p_T(Real pressure, Real temperature) const override;
103 
104  virtual void
105  k_from_p_T(Real pressure, Real temperature, Real & k, Real & dk_dp, Real & dk_dT) const override;
106 
107  virtual Real k_from_rho_T(Real density, Real temperature) const override;
108 
109  virtual Real s_from_p_T(Real pressure, Real temperature) const override;
110  virtual void s_from_p_T(Real p, Real T, Real & s, Real & ds_dp, Real & ds_dT) const override;
111 
112  virtual Real h_from_p_T(Real pressure, Real temperature) const override;
113 
114  virtual void
115  h_from_p_T(Real pressure, Real temperature, Real & h, Real & dh_dp, Real & dh_dT) const override;
116 
117  virtual Real vaporPressure(Real temperature) const override;
118 
119  virtual void vaporPressure(Real temperature, Real & psat, Real & dpsat_dT) const override;
120 
133  Real vaporTemperature(Real pressure) const override;
134  virtual void vaporTemperature(Real pressure, Real & Tsat, Real & dTsat_dp) const override;
135 
146  Real b23p(Real temperature) const;
147 
158  Real b23T(Real pressure) const;
159 
168  unsigned int inRegion(Real pressure, Real temperature) const;
169 
181  unsigned int subregion3(Real pressure, Real temperature) const;
182 
192  Real subregionVolume(
193  Real pi, Real theta, Real a, Real b, Real c, Real d, Real e, unsigned int sid) const;
194 
208  Real densityRegion3(Real pressure, Real temperature) const;
209 
219  virtual Real T_from_p_h(Real pressure, Real enthalpy) const override;
220  virtual void T_from_p_h(Real p, Real h, Real & T, Real & dT_dp, Real & dT_dh) const override;
221 
231  Real b2bc(Real pressure) const;
232 
243  Real b3ab(Real pressure) const;
244 
255  Real henryConstant(Real temperature, const std::vector<Real> & coeffs) const;
256  void
257  henryConstant(Real temperature, const std::vector<Real> & coeffs, Real & Kh, Real & dKh_dT) const;
258  DualReal henryConstant(const DualReal & temperature, const std::vector<Real> & coeffs) const;
259 
260 protected:
272  Real gamma1(Real pi, Real tau) const;
273 
281  Real dgamma1_dpi(Real pi, Real tau) const;
282 
290  Real d2gamma1_dpi2(Real pi, Real tau) const;
291 
299  Real dgamma1_dtau(Real pi, Real tau) const;
300 
308  Real d2gamma1_dtau2(Real pi, Real tau) const;
309 
317  Real d2gamma1_dpitau(Real pi, Real tau) const;
318 
330  Real gamma2(Real pi, Real tau) const;
331 
339  Real dgamma2_dpi(Real pi, Real tau) const;
340 
348  Real d2gamma2_dpi2(Real pi, Real tau) const;
349 
357  Real dgamma2_dtau(Real pi, Real tau) const;
358 
366  Real d2gamma2_dtau2(Real pi, Real tau) const;
367 
375  Real d2gamma2_dpitau(Real pi, Real tau) const;
376 
388  Real phi3(Real delta, Real tau) const;
389 
397  Real dphi3_ddelta(Real delta, Real tau) const;
398 
406  Real d2phi3_ddelta2(Real delta, Real tau) const;
407 
415  Real dphi3_dtau(Real delta, Real tau) const;
416 
424  Real d2phi3_dtau2(Real delta, Real tau) const;
425 
433  Real d2phi3_ddeltatau(Real delta, Real tau) const;
434 
446  Real gamma5(Real pi, Real tau) const;
447 
455  Real dgamma5_dpi(Real pi, Real tau) const;
456 
464  Real d2gamma5_dpi2(Real pi, Real tau) const;
465 
473  Real dgamma5_dtau(Real pi, Real tau) const;
474 
482  Real d2gamma5_dtau2(Real pi, Real tau) const;
483 
491  Real d2gamma5_dpitau(Real pi, Real tau) const;
492 
494  enum subregionEnum
495  {
496  AB,
497  CD,
498  GH,
499  IJ,
500  JK,
501  MN,
502  OP,
503  QU,
504  RX,
505  UV,
506  WX,
507  EF
508  };
509 
521  Real tempXY(Real pressure, subregionEnum xy) const;
522 
531  unsigned int inRegionPH(Real pressure, Real enthalpy) const;
532 
543  unsigned int subregion2ph(Real pressure, Real enthalpy) const;
544 
556  unsigned int subregion3ph(Real pressure, Real enthalpy) const;
557 
567  FPDualReal T_from_p_h_ad(const FPDualReal & pressure, const FPDualReal & enthalpy) const;
568 
579  FPDualReal temperature_from_ph1(const FPDualReal & pressure, const FPDualReal & enthalpy) const;
580 
591  FPDualReal temperature_from_ph2a(const FPDualReal & pressure, const FPDualReal & enthalpy) const;
592 
603  FPDualReal temperature_from_ph2b(const FPDualReal & pressure, const FPDualReal & enthalpy) const;
604 
615  FPDualReal temperature_from_ph2c(const FPDualReal & pressure, const FPDualReal & enthalpy) const;
616 
628  FPDualReal temperature_from_ph3a(const FPDualReal & pressure, const FPDualReal & enthalpy) const;
629 
641  FPDualReal temperature_from_ph3b(const FPDualReal & pressure, const FPDualReal & enthalpy) const;
642 
655  FPDualReal vaporTemperature_ad(const FPDualReal & pressure) const;
656 
658  const Real _Mh2o;
660  const Real _Rw;
662  const Real _p_critical;
664  const Real _T_critical;
666  const Real _rho_critical;
668  const Real _p_triple;
670  const Real _T_triple;
671 
680  const std::array<Real, 34> _n1{
682  {0.14632971213167e0, -0.84548187169114e0, -0.37563603672040e1, 0.33855169168385e1,
683  -0.95791963387872e0, 0.15772038513228e0, -0.16616417199501e-1, 0.81214629983568e-3,
684  0.28319080123804e-3, -0.60706301565874e-3, -0.18990068218419e-1, -0.32529748770505e-1,
685  -0.21841717175414e-1, -0.52838357969930e-4, -0.47184321073267e-3, -0.30001780793026e-3,
686  0.47661393906987e-4, -0.44141845330846e-5, -0.72694996297594e-15, -0.31679644845054e-4,
687  -0.28270797985312e-5, -0.85205128120103e-9, -0.22425281908000e-5, -0.65171222895601e-6,
688  -0.14341729937924e-12, -0.40516996860117e-6, -0.12734301741641e-8, -0.17424871230634e-9,
689  -0.68762131295531e-18, 0.14478307828521e-19, 0.26335781662795e-22, -0.11947622640071e-22,
690  0.18228094581404e-23, -0.93537087292458e-25}};
691 
692  const std::array<int, 34> _I1{{0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2,
693  2, 2, 3, 3, 3, 4, 4, 4, 5, 8, 8, 21, 23, 29, 30, 31, 32}};
694 
695  const std::array<int, 34> _J1{{-2, -1, 0, 1, 2, 3, 4, 5, -9, -7, -1, 0,
696  1, 3, -3, 0, 1, 3, 17, -4, 0, 6, -5, -2,
697  10, -8, -11, -6, -29, -31, -38, -39, -40, -41}};
698 
699  const std::array<Real, 20> _nph1{
700  {-0.23872489924521e3, 0.40421188637945e3, 0.11349746881718e3, -0.58457616048039e1,
701  -0.15285482413140e-3, -0.10866707695377e-5, -0.13391744872602e2, 0.43211039183559e2,
702  -0.54010067170506e2, 0.30535892203916e2, -0.65964749423638e1, 0.93965400878363e-2,
703  0.11573647505340e-6, -0.25858641282073e-4, -0.40644363084799e-8, 0.66456186191635e-7,
704  0.80670734103027e-10, -0.93477771213947e-12, 0.58265442020601e-14, -0.15020185953503e-16}};
705 
706  const std::array<int, 20> _Iph1{{0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6}};
707 
708  const std::array<int, 20> _Jph1{
709  {0, 1, 2, 6, 22, 32, 0, 1, 2, 3, 4, 10, 32, 10, 32, 10, 32, 32, 32, 32}};
710 
712  const std::array<Real, 9> _n02{{-0.96927686500217e1,
713  0.10086655968018e2,
714  -0.56087911283020e-2,
715  0.71452738081455e-1,
716  -0.40710498223928e0,
717  0.14240819171444e1,
718  -0.43839511319450e1,
719  -0.28408632460772e0,
720  0.21268463753307e-1}};
721 
722  const std::array<Real, 43> _n2{
723  {-0.17731742473213e-2, -0.17834862292358e-1, -0.45996013696365e-1, -0.57581259083432e-1,
724  -0.50325278727930e-1, -0.33032641670203e-4, -0.18948987516315e-3, -0.39392777243355e-2,
725  -0.43797295650573e-1, -0.26674547914087e-4, 0.20481737692309e-7, 0.43870667284435e-6,
726  -0.32277677238570e-4, -0.15033924542148e-2, -0.40668253562649e-1, -0.78847309559367e-9,
727  0.12790717852285e-7, 0.48225372718507e-6, 0.22922076337661e-5, -0.16714766451061e-10,
728  -0.21171472321355e-2, -0.23895741934104e2, -0.59059564324270e-17, -0.12621808899101e-5,
729  -0.38946842435739e-1, 0.11256211360459e-10, -0.82311340897998e1, 0.19809712802088e-7,
730  0.10406965210174e-18, -0.10234747095929e-12, -0.10018179379511e-8, -0.80882908646985e-10,
731  0.10693031879409e0, -0.33662250574171e0, 0.89185845355421e-24, 0.30629316876232e-12,
732  -0.42002467698208e-5, -0.59056029685639e-25, 0.37826947613457e-5, -0.12768608934681e-14,
733  0.73087610595061e-28, 0.55414715350778e-16, -0.94369707241210e-6}};
734 
735  const std::array<int, 9> _J02{{0, 1, -5, -4, -3, -2, -1, 2, 3}};
736 
737  const std::array<int, 43> _I2{{1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3,
738  4, 4, 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10, 10,
739  10, 16, 16, 18, 20, 20, 20, 21, 22, 23, 24, 24, 24}};
740 
741  const std::array<int, 43> _J2{{0, 1, 2, 3, 6, 1, 2, 4, 7, 36, 0, 1, 3, 6, 35,
742  1, 2, 3, 7, 3, 16, 35, 0, 11, 25, 8, 36, 13, 4, 10,
743  14, 29, 50, 57, 20, 35, 48, 21, 53, 39, 26, 40, 58}};
744 
745  const std::array<Real, 36> _nph2a{
746  {0.10898952318288e4, 0.84951654495535e3, -0.10781748091826e3, 0.33153654801263e2,
747  -0.74232016790248e1, 0.11765048724356e2, 0.18445749355790e1, -0.41792700549624e1,
748  0.62478196935812e1, -0.17344563108114e2, -0.20058176862096e3, 0.27196065473796e3,
749  -0.45511318285818e3, 0.30919688604755e4, 0.25226640357872e6, -0.61707422868339e-2,
750  -0.31078046629583, 0.11670873077107e2, 0.12812798404046e9, -0.98554909623276e9,
751  0.28224546973002e10, -0.35948971410703e10, 0.17227349913197e10, -0.13551334240775e5,
752  0.12848734664650e8, 0.13865724283226e1, 0.23598832556514e6, -0.13105236545054e8,
753  0.73999835474766e4, -0.55196697030060e6, 0.37154085996233e7, 0.19127729239660e5,
754  -0.41535164835634e6, -0.62459855192507e2}};
755 
756  const std::array<int, 36> _Iph2a{{0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2,
757  2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 7}};
758 
759  const std::array<int, 36> _Jph2a{{0, 1, 2, 3, 7, 20, 0, 1, 2, 3, 7, 9,
760  11, 18, 44, 0, 2, 7, 36, 38, 40, 42, 44, 24,
761  44, 12, 32, 44, 32, 36, 42, 34, 44, 28}};
762 
763  const std::array<Real, 38> _nph2b{
764  {0.14895041079516e4, 0.74307798314034e3, -0.97708318797837e2, 0.24742464705674e1,
765  -0.63281320016026, 0.11385952129658e1, -0.47811863648625, 0.85208123431544e-2,
766  0.93747147377932, 0.33593118604916e1, 0.33809355601454e1, 0.16844539671904,
767  0.73875745236695, -0.47128737436186, 0.15020273139707, -0.21764114219750e-2,
768  -0.21810755324761e-1, -0.10829784403677, -0.46333324635812e-1, 0.71280351959551e-4,
769  0.11032831789999e-3, 0.18955248387902e-3, 0.30891541160537e-2, 0.13555504554949e-2,
770  0.28640237477456e-6, -0.10779857357512e-4, -0.76462712454814e-4, 0.14052392818316e-4,
771  -0.31083814331434e-4, -0.10302738212103e-5, 0.28217281635040e-6, 0.12704902271945e-5,
772  0.73803353468292e-7, -0.11030139238909e-7, -0.81456365207833e-13, -0.25180545682962e-10,
773  -0.17565233969407e-17, 0.86934156344163e-14}};
774 
775  const std::array<int, 38> _Iph2b{{0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2,
776  2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 7, 7, 9, 9}};
777 
778  const std::array<int, 38> _Jph2b{{0, 1, 2, 12, 18, 24, 28, 40, 0, 2, 6, 12, 18,
779  24, 28, 40, 2, 8, 18, 40, 1, 2, 12, 24, 2, 12,
780  18, 24, 28, 40, 18, 24, 40, 28, 2, 28, 1, 40}};
781 
782  const std::array<Real, 23> _nph2c{
783  {-0.32368398555242e13, 0.73263350902181e13, 0.35825089945447e12, -0.58340131851590e12,
784  -0.10783068217470e11, 0.20825544563171e11, 0.61074783564516e6, 0.85977722535580e6,
785  -0.25745723604170e5, 0.31081088422714e5, 0.12082315865936e4, 0.48219755109255e3,
786  0.37966001272486e1, -0.10842984880077e2, -0.45364172676660e-1, 0.14559115658698e-12,
787  0.11261597407230e-11, -0.17804982240686e-10, 0.12324579690832e-6, -0.11606921130984e-5,
788  0.27846367088554e-4, -0.59270038474176e-3, 0.12918582991878e-2}};
789 
790  const std::array<int, 23> _Iph2c{
791  {-7, -7, -6, -6, -5, -5, -2, -2, -1, -1, 0, 0, 1, 1, 2, 6, 6, 6, 6, 6, 6, 6, 6}};
792 
793  const std::array<int, 23> _Jph2c{
794  {0, 4, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 4, 8, 4, 0, 1, 4, 10, 12, 16, 20, 22}};
795 
797  const std::array<Real, 5> _n23{{0.34805185628969e3,
798  -0.11671859879975e1,
799  0.10192970039326e-2,
800  0.57254459862746e3,
801  0.13918839778870e2}};
802 
804  const std::array<Real, 40> _n3{
805  {0.10658070028513e1, -0.15732845290239e2, 0.20944396974307e2, -0.76867707878716e1,
806  0.26185947787954e1, -0.28080781148620e1, 0.12053369696517e1, -0.84566812812502e-2,
807  -0.12654315477714e1, -0.11524407806681e1, 0.88521043984318e0, -0.64207765181607e0,
808  0.38493460186671e0, -0.85214708824206e0, 0.48972281541877e1, -0.30502617256965e1,
809  0.39420536879154e-1, 0.12558408424308e0, -0.27999329698710e0, 0.13899799569460e1,
810  -0.20189915023570e1, -0.82147637173963e-2, -0.47596035734923e0, 0.43984074473500e-1,
811  -0.44476435428739e0, 0.90572070719733e0, 0.70522450087967e0, 0.10770512626332e0,
812  -0.32913623258954e0, -0.50871062041158e0, -0.22175400873096e-1, 0.94260751665092e-1,
813  0.16436278447961e0, -0.13503372241348e-1, -0.14834345352472e-1, 0.57922953628084e-3,
814  0.32308904703711e-2, 0.80964802996215e-4, -0.16557679795037e-3, -0.44923899061815e-4}};
815 
816  const std::array<int, 40> _I3{{0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3,
817  3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 8, 9, 9, 10, 10, 11}};
818 
819  const std::array<int, 40> _J3{{0, 0, 1, 2, 7, 10, 12, 23, 2, 6, 15, 17, 0, 2,
820  6, 7, 22, 26, 0, 2, 4, 16, 26, 0, 2, 4, 26, 1,
821  3, 26, 0, 2, 26, 2, 26, 2, 26, 0, 1, 26}};
822 
823  const std::array<std::array<Real, 8>, 26> _par3{
824  {{{0.0024, 100.0, 760.0, 0.085, 0.817, 1.0, 1.0, 1.0}},
825  {{0.0041, 100.0, 860.0, 0.280, 0.779, 1.0, 1.0, 1.0}},
826  {{0.0022, 40.0, 690.0, 0.259, 0.903, 1.0, 1.0, 1.0}},
827  {{0.0029, 40.0, 690.0, 0.559, 0.939, 1.0, 1.0, 4.0}},
828  {{0.0032, 40.0, 710.0, 0.587, 0.918, 1.0, 1.0, 1.0}},
829  {{0.0064, 40.0, 730.0, 0.587, 0.891, 0.5, 1.0, 4.0}},
830  {{0.0027, 25.0, 660.0, 0.872, 0.971, 1.0, 1.0, 4.0}},
831  {{0.0032, 25.0, 660.0, 0.898, 0.983, 1.0, 1.0, 4.0}},
832  {{0.0041, 25.0, 660.0, 0.910, 0.984, 0.5, 1.0, 4.0}},
833  {{0.0054, 25.0, 670.0, 0.875, 0.964, 0.5, 1.0, 4.0}},
834  {{0.0077, 25.0, 680.0, 0.802, 0.935, 1.0, 1.0, 1.0}},
835  {{0.0026, 24.0, 650.0, 0.908, 0.989, 1.0, 1.0, 4.0}},
836  {{0.0028, 23.0, 650.0, 1.000, 0.997, 1.0, 0.25, 1.0}},
837  {{0.0031, 23.0, 650.0, 0.976, 0.997, 0.0, 0.0, 0.0}},
838  {{0.0034, 23.0, 650.0, 0.974, 0.996, 0.5, 1.0, 1.0}},
839  {{0.0041, 23.0, 650.0, 0.972, 0.997, 0.5, 1.0, 1.0}},
840  {{0.0022, 23.0, 650.0, 0.848, 0.983, 1.0, 1.0, 4.0}},
841  {{0.0054, 23.0, 650.0, 0.874, 0.982, 1.0, 1.0, 1.0}},
842  {{0.0022, 21.0, 640.0, 0.886, 0.990, 1.0, 1.0, 4.0}},
843  {{0.0088, 20.0, 650.0, 0.803, 1.020, 1.0, 1.0, 1.0}},
844  {{0.0026, 23.0, 650.0, 0.902, 0.988, 1.0, 1.0, 1.0}},
845  {{0.0031, 23.0, 650.0, 0.960, 0.995, 1.0, 1.0, 1.0}},
846  {{0.0039, 23.0, 650.0, 0.959, 0.995, 1.0, 1.0, 4.0}},
847  {{0.0049, 23.0, 650.0, 0.910, 0.988, 1.0, 1.0, 1.0}},
848  {{0.0031, 22.0, 650.0, 0.996, 0.994, 1.0, 1.0, 4.0}},
849  {{0.0038, 22.0, 650.0, 0.993, 0.994, 1.0, 1.0, 4.0}}}};
850 
851  const std::array<unsigned int, 26> _par3N{{30, 32, 35, 38, 29, 42, 38, 29, 42, 29, 34, 43, 40,
852  39, 24, 27, 24, 27, 29, 33, 38, 39, 35, 36, 20, 23}};
853 
855  const std::vector<std::vector<Real>> _n3s{
856  {0.110879558823853e-2, 0.572616740810616e3, -0.767051948380852e5, -0.253321069529674e-1,
857  0.628008049345689e4, 0.234105654131876e6, 0.216867826045856, -0.156237904341963e3,
858  -0.269893956176613e5, -0.180407100085505e-3, 0.116732227668261e-2, 0.266987040856040e2,
859  0.282776617243286e5, -0.242431520029523e4, 0.435217323022733e-3, -0.122494831387441e-1,
860  0.179357604019989e1, 0.442729521058314e2, -0.593223489018342e-2, 0.453186261685774,
861  0.135825703129140e1, 0.408748415856745e-1, 0.474686397863312, 0.118646814997915e1,
862  0.546987265727549, 0.195266770452643, -0.502268790869663e-1, -0.369645308193377,
863  0.633828037528420e-2, 0.797441793901017e-1},
864  {-0.827670470003621e-1, 0.416887126010565e2, 0.483651982197059e-1, -0.291032084950276e5,
865  -0.111422582236948e3, -0.202300083904014e-1, 0.294002509338515e3, 0.140244997609658e3,
866  -0.344384158811459e3, 0.361182452612149e3, -0.140699677420738e4, -0.202023902676481e-2,
867  0.171346792457471e3, -0.425597804058632e1, 0.691346085000334e-5, 0.151140509678925e-2,
868  -0.416375290166236e-1, -0.413754957011042e2, -0.506673295721637e2, -0.572212965569023e-3,
869  0.608817368401785e1, 0.239600660256161e2, 0.122261479925384e-1, 0.216356057692938e1,
870  0.398198903368642, -0.116892827834085, -0.102845919373532, -0.492676637589284,
871  0.655540456406790e-1, -0.240462535078530, -0.269798180310075e-1, 0.128369435967012},
872  {0.311967788763030e1, 0.276713458847564e5, 0.322583103403269e8, -0.342416065095363e3,
873  -0.899732529907377e6, -0.793892049821251e8, 0.953193003217388e2, 0.229784742345072e4,
874  0.175336675322499e6, 0.791214365222792e7, 0.319933345844209e-4, -0.659508863555767e2,
875  -0.833426563212851e6, 0.645734680583292e-1, -0.382031020570813e7, 0.406398848470079e-4,
876  0.310327498492008e2, -0.892996718483724e-3, 0.234604891591616e3, 0.377515668966951e4,
877  0.158646812591361e-1, 0.707906336241843, 0.126016225146570e2, 0.736143655772152,
878  0.676544268999101, -0.178100588189137e2, -0.156531975531713, 0.117707430048158e2,
879  0.840143653860447e-1, -0.186442467471949, -0.440170203949645e2, 0.123290423502494e7,
880  -0.240650039730845e-1, -0.107077716660869e7, 0.438319858566475e-1},
881  {-0.452484847171645e-9, 0.315210389538801e-4, -0.214991352047545e-2, 0.508058874808345e3,
882  -0.127123036845932e8, 0.115371133120497e13, -0.197805728776273e-15, 0.241554806033972e-10,
883  -0.156481703640525e-5, 0.277211346836625e-2, -0.203578994462286e2, 0.144369489909053e7,
884  -0.411254217946539e11, 0.623449786243773e-5, -0.221774281146038e2, -0.689315087933158e5,
885  -0.195419525060713e8, 0.316373510564015e4, 0.224040754426988e7, -0.436701347922356e-5,
886  -0.404213852833996e-3, -0.348153203414663e3, -0.385294213555289e6, 0.135203700099403e-6,
887  0.134648383271089e-3, 0.125031835351736e6, 0.968123678455841e-1, 0.225660517512438e3,
888  -0.190102435341872e-3, -0.299628410819229e-1, 0.500833915372121e-2, 0.387842482998411,
889  -0.138535367777182e4, 0.870745245971773, 0.171946252068742e1, -0.326650121426383e-1,
890  0.498044171727877e4, 0.551478022765087e-2},
891  {0.715815808404721e9, -0.114328360753449e12, 0.376531002015720e-11, -0.903983668691157e-4,
892  0.665695908836252e6, 0.535364174960127e10, 0.794977402335603e11, 0.922230563421437e2,
893  -0.142586073991215e6, -0.111796381424162e7, 0.896121629640760e4, -0.669989239070491e4,
894  0.451242538486834e-2, -0.339731325977713e2, -0.120523111552278e1, 0.475992667717124e5,
895  -0.266627750390341e6, -0.153314954386524e-3, 0.305638404828265, 0.123654999499486e3,
896  -0.104390794213011e4, -0.157496516174308e-1, 0.685331118940253, 0.178373462873903e1,
897  -0.544674124878910, 0.204529931318843e4, -0.228342359328752e5, 0.413197481515899,
898  -0.341931835910405e2},
899  {-0.251756547792325e-7, 0.601307193668763e-5, -0.100615977450049e-2,
900  0.999969140252192, 0.214107759236486e1, -0.165175571959086e2,
901  -0.141987303638727e-2, 0.269251915156554e1, 0.349741815858722e2,
902  -0.300208695771783e2, -0.131546288252539e1, -0.839091277286169e1,
903  0.181545608337015e-9, -0.591099206478909e-3, 0.152115067087106e1,
904  0.252956470663225e-4, 0.100726265203786e-14, -0.14977453386065e1,
905  -0.793940970562969e-9, -0.150290891264717e-3, 0.151205531275133e1,
906  0.470942606221652e-5, 0.195049710391712e-12, -0.911627886266077e-8,
907  0.604374640201265e-3, -0.225132933900136e-15, 0.610916973582981e-11,
908  -0.303063908043404e-6, -0.137796070798409e-4, -0.919296736666106e-3,
909  0.639288223132545e-9, 0.753259479898699e-6, -0.400321478682929e-12,
910  0.756140294351614e-8, -0.912082054034891e-11, -0.237612381140539e-7,
911  0.269586010591874e-4, -0.732828135157839e-10, 0.241995578306660e-9,
912  -0.405735532730322e-3, 0.189424143498011e-9, -0.486632965074563e-9},
913  {0.412209020652996e-4, -0.114987238280587e7, 0.948180885032080e10, -0.195788865718971e18,
914  0.4962507048713e25, -0.105549884548496e29, -0.758642165988278e12, -0.922172769596101e23,
915  0.725379072059348e30, -0.617718249205859e2, 0.107555033344858e5, -0.379545802336487e8,
916  0.228646846221831e12, -0.499741093010619e7, -0.280214310054101e31, 0.104915406769586e7,
917  0.613754229168619e28, 0.802056715528378e32, -0.298617819828065e8, -0.910782540134681e2,
918  0.135033227281565e6, -0.712949383408211e19, -0.104578785289542e37, 0.304331584444093e2,
919  0.593250797959445e10, -0.364174062110798e28, 0.921791403532461, -0.337693609657471,
920  -0.724644143758508e2, -0.110480239272601, 0.536516031875059e1, -0.291441872156205e4,
921  0.616338176535305e40, -0.120889175861180e39, 0.818396024524612e23, 0.940781944835829e9,
922  -0.367279669545448e5, -0.837513931798655e16},
923  {0.561379678887577e-1, 0.774135421587083e10, 0.111482975877938e-8, -0.143987128208183e-2,
924  0.193696558764920e4, -0.605971823585005e9, 0.171951568124337e14, -0.185461154985145e17,
925  0.38785116807801e-16, -0.395464327846105e-13, -0.170875935679023e3, -0.21201062070122e4,
926  0.177683337348191e8, 0.110177443629575e2, -0.234396091693313e6, -0.656174421999594e7,
927  0.156362212977396e-4, -0.212946257021400e1, 0.135249306374858e2, 0.177189164145813,
928  0.139499167345464e4, -0.703670932036388e-2, -0.152011044389648, 0.981916922991113e-4,
929  0.147199658618076e-2, 0.202618487025578e2, 0.899345518944240, -0.211346402240858,
930  0.249971752957491e2},
931  {0.106905684359136e1, -0.148620857922333e1, 0.259862256980408e15,
932  -0.446352055678749e-11, -0.566620757170032e-6, -0.235302885736849e-2,
933  -0.269226321968839, 0.922024992944392e1, 0.357633505503772e-11,
934  -0.173942565562222e2, 0.700681785556229e-5, -0.267050351075768e-3,
935  -0.231779669675624e1, -0.753533046979752e-12, 0.481337131452891e1,
936  -0.223286270422356e22, -0.118746004987383e-4, 0.646412934136496e-2,
937  -0.410588536330937e-9, 0.422739537057241e20, 0.313698180473812e-12,
938  0.16439533434504e-23, -0.339823323754373e-5, -0.135268639905021e-1,
939  -0.723252514211625e-14, 0.184386437538366e-8, -0.463959533752385e-1,
940  -0.99226310037675e14, 0.688169154439335e-16, -0.222620998452197e-10,
941  -0.540843018624083e-7, 0.345570606200257e-2, 0.422275800304086e11,
942  -0.126974478770487e-14, 0.927237985153679e-9, 0.612670812016489e-13,
943  -0.722693924063497e-11, -0.383669502636822e-3, 0.374684572410204e-3,
944  -0.931976897511086e5, -0.247690616026922e-1, 0.658110546759474e2},
945  {-0.111371317395540e-3, 0.100342892423685e1, 0.530615581928979e1,
946  0.179058760078792e-5, -0.728541958464774e-3, -0.187576133371704e2,
947  0.199060874071849e-2, 0.243574755377290e2, -0.177040785499444e-3,
948  -0.25968038522713e-2, -0.198704578406823e3, 0.738627790224287e-4,
949  -0.236264692844138e-2, -0.161023121314333e1, 0.622322971786473e4,
950  -0.960754116701669e-8, -0.510572269720488e-10, 0.767373781404211e-2,
951  0.663855469485254e-14, -0.717590735526745e-9, 0.146564542926508e-4,
952  0.309029474277013e-11, -0.464216300971708e-15, -0.390499637961161e-13,
953  -0.236716126781431e-9, 0.454652854268717e-11, -0.422271787482497e-2,
954  0.283911742354706e-10, 0.270929002720228e1},
955  {-0.401215699576099e9, 0.484501478318406e11, 0.394721471363678e-14,
956  0.372629967374147e5, -0.369794374168666e-29, -0.380436407012452e-14,
957  0.475361629970233e-6, -0.879148916140706e-3, 0.844317863844331,
958  0.122433162656600e2, -0.104529634830279e3, 0.589702771277429e3,
959  -0.291026851164444e14, 0.170343072841850e-5, -0.277617606975748e-3,
960  -0.344709605486686e1, 0.221333862447095e2, -0.194646110037079e3,
961  0.808354639772825e-15, -0.18084520914547e-10, -0.696664158132412e-5,
962  -0.181057560300994e-2, 0.255830298579027e1, 0.328913873658481e4,
963  -0.173270241249904e-18, -0.661876792558034e-6, -0.39568892342125e-2,
964  0.604203299819132e-17, -0.400879935920517e-13, 0.160751107464958e-8,
965  0.383719409025556e-4, -0.649565446702457e-14, -0.149095328506e-11,
966  0.541449377329581e-8},
967  {0.260702058647537e10, -0.188277213604704e15, 0.554923870289667e19, -0.758966946387758e23,
968  0.413865186848908e27, -0.81503800073806e12, -0.381458260489955e33, -0.123239564600519e-1,
969  0.226095631437174e8, -0.49501780950672e12, 0.529482996422863e16, -0.444359478746295e23,
970  0.521635864527315e35, -0.487095672740742e55, -0.714430209937547e6, 0.127868634615495,
971  -0.100752127917598e2, 0.777451437960990e7, -0.108105480796471e25, -0.357578581169659e-5,
972  -0.212857169423484e1, 0.270706111085238e30, -0.695953622348829e33, 0.110609027472280,
973  0.721559163361354e2, -0.306367307532219e15, 0.265839618885530e-4, 0.253392392889754e-1,
974  -0.214443041836579e3, 0.937846601489667, 0.223184043101700e1, 0.338401222509191e2,
975  0.494237237179718e21, -0.198068404154428, -0.141415349881140e31, -0.993862421613651e2,
976  0.125070534142731e3, -0.996473529004439e3, 0.473137909872765e5, 0.116662121219322e33,
977  -0.315874976271533e16, -0.445703369196945e33, 0.642794932373694e33},
978  {0.811384363481847, -0.568199310990094e4, -0.178657198172556e11, 0.795537657613427e32,
979  -0.814568209346872e5, -0.659774567602874e8, -0.152861148659302e11, -0.560165667510446e12,
980  0.458384828593949e6, -0.385754000383848e14, 0.453735800004273e8, 0.939454935735563e12,
981  0.266572856432938e28, -0.547578313899097e10, 0.200725701112386e15, 0.185007245563239e13,
982  0.185135446828337e9, -0.170451090076385e12, 0.157890366037614e15, -0.202530509748774e16,
983  0.36819392618357e60, 0.170215539458936e18, 0.639234909918741e42, -0.821698160721956e15,
984  -0.795260241872306e24, 0.23341586947851e18, -0.600079934586803e23, 0.594584382273384e25,
985  0.189461279349492e40, -0.810093428842645e46, 0.188813911076809e22, 0.111052244098768e36,
986  0.291133958602503e46, -0.329421923951460e22, -0.137570282536696e26, 0.181508996303902e28,
987  -0.346865122768353e30, -0.21196114877426e38, -0.128617899887675e49, 0.479817895699239e65},
988  {0.280967799943151e-38, 0.614869006573609e-30, 0.582238667048942e-27,
989  0.390628369238462e-22, 0.821445758255119e-20, 0.402137961842776e-14,
990  0.651718171878301e-12, -0.211773355803058e-7, 0.264953354380072e-2,
991  -0.135031446451331e-31, -0.607246643970893e-23, -0.402352115234494e-18,
992  -0.744938506925544e-16, 0.189917206526237e-12, 0.364975183508473e-5,
993  0.177274872361946e-25, -0.334952758812999e-18, -0.421537726098389e-8,
994  -0.391048167929649e-1, 0.541276911564176e-13, 0.705412100773699e-11,
995  0.258585887897486e-8, -0.493111362030162e-10, -0.158649699894543e-5,
996  -0.525037427886100, 0.220019901729615e-2, -0.643064132636925e-2,
997  0.629154149015048e2, 0.135147318617061e3, 0.240560808321713e-6,
998  -0.890763306701305e-3, -0.440209599407714e4, -0.302807107747776e3,
999  0.159158748314599e4, 0.232534272709876e6, -0.792681207132600e6,
1000  -0.869871364662769e11, 0.354542769185671e12, 0.400849240129329e15},
1001  {0.128746023979718e-34, -0.735234770382342e-11, 0.28907869214915e-2,
1002  0.244482731907223, 0.141733492030985e-23, -0.354533853059476e-28,
1003  -0.594539202901431e-17, -.585188401782779e-8, .201377325411803e-5,
1004  0.138647388209306e1, -0.173959365084772e-4, 0.137680878349369e-2,
1005  0.814897605805513e-14, 0.425596631351839e-25, -0.387449113787755e-17,
1006  0.13981474793024e-12, -0.171849638951521e-2, 0.641890529513296e-21,
1007  0.118960578072018e-10, -0.155282762571611e-17, 0.233907907347507e-7,
1008  -0.174093247766213e-12, 0.377682649089149e-8, -0.516720236575302e-10},
1009  {-0.982825342010366e-4, 0.105145700850612e1, 0.116033094095084e3, 0.324664750281543e4,
1010  -0.123592348610137e4, -0.561403450013495e-1, 0.856677401640869e-7, 0.236313425393924e3,
1011  0.972503292350109e-2, -0.103001994531927e1, -0.149653706199162e-8, -0.215743778861592e-4,
1012  -0.834452198291445e1, 0.586602660564988, 0.343480022104968e-25, 0.816256095947021e-5,
1013  0.294985697916798e-2, 0.711730466276584e-16, 0.400954763806941e-9, 0.107766027032853e2,
1014  -0.409449599138182e-6, -0.729121307758902e-5, 0.677107970938909e-8, 0.602745973022975e-7,
1015  -0.382323011855257e-10, 0.179946628317437e-2, -0.345042834640005e-3},
1016  {-0.820433843259950e5, 0.473271518461586e11, -0.805950021005413e-1, 0.328600025435980e2,
1017  -0.35661702998249e4, -0.172985781433335e10, 0.351769232729192e8, -0.775489259985144e6,
1018  0.710346691966018e-4, 0.993499883820274e5, -0.642094171904570, -0.612842816820083e4,
1019  0.232808472983776e3, -0.142808220416837e-4, -0.643596060678456e-2, -0.428577227475614e1,
1020  0.225689939161918e4, 0.100355651721510e-2, 0.333491455143516, 0.109697576888873e1,
1021  0.961917379376452, -0.838165632204598e-1, 0.247795908411492e1, -0.319114969006533e4},
1022  {0.144165955660863e-2, -0.701438599628258e13, -0.830946716459219e-16, 0.261975135368109,
1023  0.393097214706245e3, -0.104334030654021e5, 0.490112654154211e9, -0.147104222772069e-3,
1024  0.103602748043408e1, 0.305308890065089e1, -0.399745276971264e7, 0.569233719593750e-11,
1025  -0.464923504407778e-1, -0.535400396512906e-17, 0.399988795693162e-12, -0.536479560201811e-6,
1026  0.159536722411202e-1, 0.270303248860217e-14, 0.244247453858506e-7, -0.983430636716454e-5,
1027  0.663513144224454e-1, -0.993456957845006e1, 0.546491323528491e3, -0.143365406393758e5,
1028  0.150764974125511e6, -0.337209709340105e-9, 0.377501980025469e-8},
1029  {-0.532466612140254e23, 0.100415480000824e32, -0.191540001821367e30, 0.105618377808847e17,
1030  0.202281884477061e59, 0.884585472596134e8, 0.166540181638363e23, -0.313563197669111e6,
1031  -0.185662327545324e54, -0.624942093918942e-1, -0.50416072413259e10, 0.187514491833092e5,
1032  0.121399979993217e-2, 0.188317043049455e1, -0.167073503962060e4, 0.965961650599775,
1033  0.294885696802488e1, -0.653915627346115e5, 0.604012200163444e50, -0.198339358557937,
1034  -0.175984090163501e58, 0.356314881403987e1, -0.575991255144384e3, 0.456213415338071e5,
1035  -0.109174044987829e8, 0.437796099975134e34, -0.616552611135792e46, 0.193568768917797e10,
1036  0.950898170425042e54},
1037  {0.155287249586268e1, 0.664235115009031e1, -0.289366236727210e4, -0.385923202309848e13,
1038  -0.291002915783761e1, -0.829088246858083e12, 0.176814899675218e1, -0.534686695713469e9,
1039  0.160464608687834e18, 0.196435366560186e6, 0.156637427541729e13, -0.178154560260006e1,
1040  -0.229746237623692e16, 0.385659001648006e8, 0.110554446790543e10, -0.677073830687349e14,
1041  -0.327910592086523e31, -0.341552040860644e51, -0.527251339709047e21, 0.245375640937055e24,
1042  -0.168776617209269e27, 0.358958955867578e29, -0.656475280339411e36, 0.355286045512301e39,
1043  0.569021454413270e58, -0.700584546433113e48, -0.705772623326374e65, 0.166861176200148e53,
1044  -0.300475129680486e61, -0.668481295196808e51, 0.428432338620678e69, -0.444227367758304e72,
1045  -0.281396013562745e77},
1046  {0.122088349258355e18, 0.104216468608488e10, -.882666931564652e16, 0.259929510849499e20,
1047  0.222612779142211e15, -0.878473585050085e18, -0.314432577551552e22, -0.216934916996285e13,
1048  0.159079648196849e21, -0.339567617303423e3, 0.884387651337836e13, -0.843405926846418e21,
1049  0.114178193518022e2, -0.122708229235641e-3, -0.106201671767107e3, 0.903443213959313e25,
1050  -0.693996270370852e28, 0.648916718965575e-8, 0.718957567127851e4, 0.105581745346187e-2,
1051  -0.651903203602581e15, -0.160116813274676e25, -0.510254294237837e-8, -0.152355388953402,
1052  0.677143292290144e12, 0.276378438378930e15, 0.116862983141686e-1, -0.301426947980171e14,
1053  0.169719813884840e-7, 0.104674840020929e27, -0.10801690456014e5, -0.990623601934295e-12,
1054  0.536116483602738e7, 0.226145963747881e22, -0.488731565776210e-9, 0.151001548880670e-4,
1055  -0.227700464643920e5, -0.781754507698846e28},
1056  {-0.415652812061591e-54, 0.177441742924043e-60, -0.357078668203377e-54,
1057  0.359252213604114e-25, -0.259123736380269e2, 0.594619766193460e5,
1058  -0.624184007103158e11, 0.313080299915944e17, 0.105006446192036e-8,
1059  -0.192824336984852e-5, 0.654144373749937e6, 0.513117462865044e13,
1060  -0.697595750347391e19, -0.103977184454767e29, 0.119563135540666e-47,
1061  -0.436677034051655e-41, 0.926990036530639e-29, 0.587793105620748e21,
1062  0.280375725094731e-17, -0.192359972440634e23, 0.742705723302738e27,
1063  -0.517429682450605e2, 0.820612048645469e7, -0.188214882341448e-8,
1064  0.184587261114837e-1, -0.135830407782663e-5, -0.723681885626348e17,
1065  -0.223449194054124e27, -0.111526741826431e-34, 0.276032601145151e-28,
1066  0.134856491567853e15, 0.652440293345860e-9, 0.510655119774360e17,
1067  -0.468138358908732e32, -0.760667491183279e16, -0.417247986986821e-18,
1068  0.312545677756104e14, -0.100375333864186e15, 0.247761392329058e27},
1069  {-0.586219133817016e-7, -0.894460355005526e11, 0.531168037519774e-30,
1070  0.109892402329239, -0.575368389425212e-1, 0.228276853990249e5,
1071  -0.158548609655002e19, 0.329865748576503e-27, -0.634987981190669e-24,
1072  0.615762068640611e-8, -0.961109240985747e8, -0.406274286652625e-44,
1073  -0.471103725498077e-12, 0.725937724828145, 0.187768525763682e-38,
1074  -0.103308436323771e4, -0.662552816342168e-1, 0.579514041765710e3,
1075  0.237416732616644e-26, 0.271700235739893e-14, -0.9078862134836e2,
1076  -0.171242509570207e-36, 0.156792067854621e3, 0.923261357901470,
1077  -0.597865988422577e1, 0.321988767636389e7, -0.399441390042203e-29,
1078  0.493429086046981e-7, 0.812036983370565e-19, -0.207610284654137e-11,
1079  -0.340821291419719e-6, 0.542000573372233e-17, -0.856711586510214e-12,
1080  0.266170454405981e-13, 0.858133791857099e-5},
1081  {0.377373741298151e19, -0.507100883722913e13, -0.10336322559886e16, 0.184790814320773e-5,
1082  -0.924729378390945e-3, -0.425999562292738e24, -0.462307771873973e-12, 0.107319065855767e22,
1083  0.648662492280682e11, 0.244200600688281e1, -0.851535733484258e10, 0.169894481433592e22,
1084  0.215780222509020e-26, -0.320850551367334, -0.382642448458610e17, -0.275386077674421e-28,
1085  -0.563199253391666e6, -0.326068646279314e21, 0.397949001553184e14, 0.100824008584757e-6,
1086  0.162234569738433e5, -0.432355225319745e11, -0.59287424559861e12, 0.133061647281106e1,
1087  0.157338197797544e7, 0.258189614270853e14, 0.262413209706358e25, -0.920011937431142e-1,
1088  0.220213765905426e-2, -0.110433759109547e2, 0.847004870612087e7, -0.592910695762536e9,
1089  -0.183027173269660e-4, 0.181339603516302, -0.119228759669889e4, 0.430867658061468e7},
1090  {-0.525597995024633e-9, 0.583441305228407e4, -0.134778968457925e17, 0.118973500934212e26,
1091  -0.159096490904708e27, -0.315839902302021e-6, 0.496212197158239e3, 0.327777227273171e19,
1092  -0.527114657850696e22, 0.210017506281863e-16, 0.705106224399834e21, -0.266713136106469e31,
1093  -0.145370512554562e-7, 0.149333917053130e28, -0.149795620287641e8, -0.3818819062711e16,
1094  0.724660165585797e-4, -0.937808169550193e14, 0.514411468376383e10, -0.828198594040141e5},
1095  {0.24400789229065e-10, -0.463057430331242e7, 0.728803274777712e10, 0.327776302858856e16,
1096  -0.110598170118409e10, -0.323899915729957e13, 0.923814007023245e16, 0.842250080413712e-12,
1097  0.663221436245506e12, -0.167170186672139e15, 0.253749358701391e4, -0.819731559610523e-20,
1098  0.328380587890663e12, -0.625004791171543e8, 0.803197957462023e21, -0.204397011338353e-10,
1099  -0.378391047055938e4, 0.97287654593862e-2, 0.154355721681459e2, -0.373962862928643e4,
1100  -0.682859011374572e11, -0.248488015614543e-3, 0.394536049497068e7}};
1101 
1102  const std::vector<std::vector<int>> _I3s{
1103  {-12, -12, -12, -10, -10, -10, -8, -8, -8, -6, -5, -5, -5, -4, -3,
1104  -3, -3, -3, -2, -2, -2, -1, -1, -1, 0, 0, 1, 1, 2, 2},
1105  {-12, -12, -10, -10, -8, -6, -6, -6, -5, -5, -5, -4, -4, -4, -3, -3,
1106  -3, -3, -3, -2, -2, -2, -1, -1, 0, 0, 1, 1, 2, 3, 4, 4},
1107  {-12, -12, -12, -10, -10, -10, -8, -8, -8, -6, -5, -5, -5, -4, -4, -3, -3, -2,
1108  -2, -2, -1, -1, -1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 8},
1109  {-12, -12, -12, -12, -12, -12, -10, -10, -10, -10, -10, -10, -10, -8, -8, -8, -8, -6, -6,
1110  -5, -5, -5, -5, -4, -4, -4, -3, -3, -2, -2, -1, -1, -1, 0, 0, 1, 1, 3},
1111  {-12, -12, -10, -10, -10, -10, -10, -8, -8, -8, -6, -5, -4, -4, -3,
1112  -3, -3, -2, -2, -2, -2, -1, 0, 0, 1, 1, 1, 2, 2},
1113  {0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 4, 5, 5, 6, 7, 7,
1114  10, 12, 12, 12, 14, 14, 14, 14, 14, 16, 16, 18, 18, 20, 20, 20, 22, 24, 24, 28, 32},
1115  {-12, -12, -12, -12, -12, -12, -10, -10, -10, -8, -8, -8, -8, -6, -6, -5, -5, -4, -3,
1116  -2, -2, -2, -2, -1, -1, -1, 0, 0, 0, 1, 1, 1, 3, 5, 6, 8, 10, 10},
1117  {-12, -12, -10, -10, -10, -10, -10, -10, -8, -8, -8, -8, -8, -6, -6,
1118  -6, -5, -5, -5, -4, -4, -3, -3, -2, -1, -1, 0, 1, 1},
1119  {0, 0, 0, 1, 1, 1, 1, 2, 3, 3, 4, 4, 4, 5, 5, 5, 7, 7, 8, 8, 10,
1120  12, 12, 12, 14, 14, 14, 14, 18, 18, 18, 18, 18, 20, 20, 22, 24, 24, 32, 32, 36, 36},
1121  {0, 0, 0, 1, 1, 1, 2, 2, 3, 4, 4, 5, 5, 5, 6,
1122  10, 12, 12, 14, 14, 14, 16, 18, 20, 20, 24, 24, 28, 28},
1123  {-2, -2, -1, -1, 0, -0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1,
1124  1, 2, 2, 2, 2, 2, 2, 5, 5, 5, 6, 6, 6, 6, 8, 10, 12},
1125  {-12, -12, -12, -12, -12, -10, -10, -8, -8, -8, -8, -8, -8, -8, -6,
1126  -5, -5, -4, -4, -3, -3, -3, -3, -2, -2, -2, -1, -1, -1, 0,
1127  0, 0, 0, 1, 1, 2, 4, 5, 5, 6, 10, 10, 14},
1128  {0, 3, 8, 20, 1, 3, 4, 5, 1, 6, 2, 4, 14, 2, 5, 3, 0, 1, 1, 1,
1129  28, 2, 16, 0, 5, 0, 3, 4, 12, 16, 1, 8, 14, 0, 2, 3, 4, 8, 14, 24},
1130  {0, 3, 4, 6, 7, 10, 12, 14, 18, 0, 3, 5, 6, 8, 12, 0, 3, 7, 12, 2,
1131  3, 4, 2, 4, 7, 4, 3, 5, 6, 0, 0, 3, 1, 0, 1, 0, 1, 0, 1},
1132  {0, 0, 0, 2, 3, 4, 4, 4, 4, 4, 5, 5, 6, 7, 8, 8, 8, 10, 10, 14, 14, 20, 20, 24},
1133  {0, 0, 0, 0, 1, 2, 3, 3, 4, 6, 7, 7, 8, 10,
1134  12, 12, 12, 14, 14, 14, 16, 18, 20, 22, 24, 24, 36},
1135  {-12, -12, -10, -10, -10, -10, -8, -6, -5, -5, -4, -4,
1136  -3, -2, -2, -2, -2, -1, -1, -1, 0, 1, 1, 1},
1137  {-8, -8, -3, -3, -3, -3, -3, 0, 0, 0, 0, 3, 3, 8,
1138  8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 12, 14},
1139  {-12, -12, -10, -8, -6, -5, -5, -4, -4, -3, -3, -2, -1, -1, -1,
1140  0, 0, 0, 0, 1, 1, 3, 3, 3, 4, 4, 4, 5, 14},
1141  {0, 0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 7, 7, 7, 7,
1142  7, 10, 10, 10, 10, 10, 18, 20, 22, 22, 24, 28, 32, 32, 32, 36},
1143  {-12, -10, -10, -10, -8, -8, -8, -6, -6, -5, -5, -5, -3, -1, -1, -1, -1, 0, 0,
1144  1, 2, 2, 3, 5, 5, 5, 6, 6, 8, 8, 10, 12, 12, 12, 14, 14, 14, 14},
1145  {-10, -8, -6, -6, -6, -6, -6, -6, -5, -5, -5, -5, -5, -5, -4, -4, -4, -4, -3, -3,
1146  -3, -2, -2, -1, -1, 0, 0, 0, 1, 1, 3, 4, 4, 4, 5, 8, 10, 12, 14},
1147  {-12, -12, -10, -10, -8, -8, -8, -6, -6, -6, -6, -5, -4, -4, -3, -3, -2, -2,
1148  -1, -1, -1, 0, 0, 1, 2, 2, 3, 3, 5, 5, 5, 8, 8, 10, 10},
1149  {-8, -6, -5, -4, -4, -4, -3, -3, -1, 0, 0, 0, 1, 1, 2, 3, 3, 3,
1150  4, 5, 5, 5, 6, 8, 8, 8, 8, 10, 12, 12, 12, 12, 14, 14, 14, 14},
1151  {0, 0, 0, 0, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 8, 8, 10, 12},
1152  {-8, -6, -5, -5, -4, -4, -4, -3, -3, -3, -2, -1, 0, 1, 2, 3, 3, 6, 6, 6, 6, 8, 8}};
1153 
1154  const std::vector<std::vector<int>> _J3s{
1155  {5, 10, 12, 5, 10, 12, 5, 8, 10, 1, 1, 5, 10, 8, 0,
1156  1, 3, 6, 0, 2, 3, 0, 1, 2, 0, 1, 0, 2, 0, 2},
1157  {10, 12, 8, 14, 8, 5, 6, 8, 5, 8, 10, 2, 4, 5, 0, 1,
1158  2, 3, 5, 0, 2, 5, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1},
1159  {6, 8, 10, 6, 8, 10, 5, 6, 7, 8, 1, 4, 7, 2, 8, 0, 3, 0,
1160  4, 5, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 3, 7, 0, 7, 1},
1161  {4, 6, 7, 10, 12, 16, 0, 2, 4, 6, 8, 10, 14, 3, 7, 8, 10, 6, 8,
1162  1, 2, 5, 7, 0, 1, 7, 2, 4, 0, 1, 0, 1, 5, 0, 2, 0, 6, 0},
1163  {14, 16, 3, 6, 10, 14, 16, 7, 8, 10, 6, 6, 2, 4, 2, 6, 7, 0, 1, 3, 4, 0, 0, 1, 0, 4, 6, 0, 2},
1164  {-3, -2, -1, 0, 1, 2, -1, 1, 2, 3, 0, 1, -5, -2,
1165  0, -3, -8, 1, -6, -4, 1, -6, -10, -8, -4, -12, -10, -8,
1166  -6, -4, -10, -8, -12, -10, -12, -10, -6, -12, -12, -4, -12, -12},
1167  {7, 12, 14, 18, 22, 24, 14, 20, 24, 7, 8, 10, 12, 8, 22, 7, 20, 22, 7,
1168  3, 5, 14, 24, 2, 8, 18, 0, 1, 2, 0, 1, 3, 24, 22, 12, 3, 0, 6},
1169  {8, 12, 4, 6, 8, 10, 14, 16, 0, 1, 6, 7, 8, 4, 6, 8, 2, 3, 4, 2, 4, 1, 2, 0, 0, 2, 0, 0, 2},
1170  {0, 1, 10, -4, -2, -1, 0, 0, -5, 0, -3, -2, -1, -6, -1, 12, -4, -3, -6, 10, -8,
1171  -12, -6, -4, -10, -8, -4, 5, -12, -10, -8, -6, 2, -12, -10, -12, -12, -8, -10, -5, -10, -8},
1172  {-1, 0, 1, -2, -1, 1, -1, 1, -2, -2, 2, -3, -2, 0, 3,
1173  -6, -8, -3, -10, -8, -5, -10, -12, -12, -10, -12, -6, -12, -5},
1174  {10, 12, -5, 6, -12, -6, -2, -1, 0, 1, 2, 3, 14, -3, -2, 0, 1,
1175  2, -8, -6, -3, -2, 0, 4, -12, -6, -3, -12, -10, -8, -5, -12, -12, -10},
1176  {14, 16, 18, 20, 22, 14, 24, 6, 10, 12, 14, 18, 24, 36, 8, 4, 5, 7, 16, 1, 3, 18,
1177  20, 2, 3, 10, 0, 1, 3, 0, 1, 2, 12, 0, 16, 1, 0, 0, 1, 14, 4, 12, 10},
1178  {0, 0, 0, 2, 5, 5, 5, 5, 6, 6, 7, 8, 8, 10, 10, 12, 14, 14, 18, 20,
1179  20, 22, 22, 24, 24, 28, 28, 28, 28, 28, 32, 32, 32, 36, 36, 36, 36, 36, 36, 36},
1180  {-12, -12, -12, -12, -12, -12, -12, -12, -12, -10, -10, -10, -10,
1181  -10, -10, -8, -8, -8, -8, -6, -6, -6, -5, -5, -5, -4,
1182  -3, -3, -3, -2, -1, -1, 0, 1, 1, 2, 4, 5, 6},
1183  {-12, -4, -1, -1, -10, -12, -8, -5, -4, -1, -4, -3,
1184  -8, -12, -10, -8, -4, -12, -8, -12, -8, -12, -10, -12},
1185  {-1, 0, 1, 2, 1, -1, -3, 0, -2, -2, -5, -4, -2, -3,
1186  -12, -6, -5, -10, -8, -3, -8, -8, -10, -10, -12, -8, -12},
1187  {10, 12, 6, 7, 8, 10, 8, 6, 2, 5, 3, 4, 3, 0, 1, 2, 4, 0, 1, 2, 0, 0, 1, 3},
1188  {6, 14, -3, 3, 4, 5, 8, -1, 0, 1, 5, -6, -2, -12,
1189  -10, -8, -5, -12, -10, -8, -6, -5, -4, -3, -2, -12, -12},
1190  {20, 24, 22, 14, 36, 8, 16, 6, 32, 3, 8, 4, 1, 2, 3,
1191  0, 1, 4, 28, 0, 32, 0, 1, 2, 3, 18, 24, 4, 24},
1192  {0, 1, 4, 12, 0, 10, 0, 6, 14, 3, 8, 0, 10, 3, 4, 7, 20,
1193  36, 10, 12, 14, 16, 22, 18, 32, 22, 36, 24, 28, 22, 32, 36, 36},
1194  {14, 10, 12, 14, 10, 12, 14, 8, 12, 4, 8, 12, 2, -1, 1, 12, 14, -3, 1,
1195  -2, 5, 10, -5, -4, 2, 3, -5, 2, -8, 8, -4, -12, -4, 4, -12, -10, -6, 6},
1196  {-8, -12, -12, -3, 5, 6, 8, 10, 1, 2, 6, 8, 10, 14, -12, -10, -6, 10, -3, 10,
1197  12, 2, 4, -2, 0, -2, 6, 10, -12, -10, 3, -6, 3, 10, 2, -12, -2, -3, 1},
1198  {8, 14, -1, 8, 6, 8, 14, -4, -3, 2, 8, -10, -1, 3, -10, 3, 1, 2,
1199  -8, -4, 1, -12, 1, -1, -1, 2, -12, -5, -10, -8, -6, -12, -10, -12, -8},
1200  {14, 10, 10, 1, 2, 14, -2, 12, 5, 0, 4, 10, -10, -1, 6, -12, 0, 8,
1201  3, -6, -2, 1, 1, -6, -3, 1, 8, -8, -10, -8, -5, -4, -12, -10, -8, -6},
1202  {-3, 1, 5, 8, 8, -4, -1, 4, 5, -8, 4, 8, -6, 6, -2, 1, -8, -2, -5, -8},
1203  {3, 6, 6, 8, 5, 6, 8, -2, 5, 6, 2, -6, 3, 1, 6, -6, -2, -6, -5, -4, -1, -8, -4}};
1204 
1205  const std::array<Real, 31> _nph3a{
1206  {-0.133645667811215e-6, 0.455912656802978e-5, -0.146294640700979e-4, 0.639341312970080e-2,
1207  0.372783927268847e3, -0.718654377460447e4, 0.573494752103400e6, -0.267569329111439e7,
1208  -0.334066283302614e-4, -0.245479214069597e-1, 0.478087847764996e2, 0.764664131818904e-5,
1209  0.128350627676972e-2, 0.171219081377331e-1, -0.851007304583213e1, -0.136513461629781e-1,
1210  -0.384460997596657e-5, 0.337423807911655e-2, -0.551624873066791, 0.729202277107470,
1211  -0.992522757376041e-2, -.119308831407288, .793929190615421, .454270731799386,
1212  .20999859125991, -0.642109823904738e-2, -0.235155868604540e-1, 0.252233108341612e-2,
1213  -0.764885133368119e-2, 0.136176427574291e-1, -0.133027883575669e-1}};
1214 
1215  const std::array<int, 31> _Iph3a{{-12, -12, -12, -12, -12, -12, -12, -12, -10, -10, -10,
1216  -8, -8, -8, -8, -5, -3, -2, -2, -2, -1, -1,
1217  0, 0, 1, 3, 3, 4, 4, 10, 12}};
1218 
1219  const std::array<int, 31> _Jph3a{{0, 1, 2, 6, 14, 16, 20, 22, 1, 5, 12, 0, 2, 4, 10, 2,
1220  0, 1, 3, 4, 0, 2, 0, 1, 1, 0, 1, 0, 3, 4, 5}};
1221 
1222  const std::array<Real, 33> _nph3b{
1223  {0.323254573644920e-4, -0.127575556587181e-3, -0.475851877356068e-3, 0.156183014181602e-2,
1224  0.105724860113781, -0.858514221132534e2, 0.724140095480911e3, 0.296475810273257e-2,
1225  -0.592721983365988e-2, -0.126305422818666e-1, -0.115716196364853, 0.849000969739595e2,
1226  -0.108602260086615e-1, 0.154304475328851e-1, 0.750455441524466e-1, 0.252520973612982e-1,
1227  -0.602507901232996e-1, -0.307622221350501e1, -0.574011959864879e-1, 0.503471360939849e1,
1228  -0.925081888584834, 0.391733882917546e1, -0.773146007130190e2, 0.949308762098587e4,
1229  -0.141043719679409e7, 0.849166230819026e7, 0.861095729446704, 0.323346442811720,
1230  0.873281936020439, -0.436653048526683, 0.286596714529479, -0.131778331276228,
1231  0.676682064330275e-2}};
1232 
1233  const std::array<int, 33> _Iph3b{{-12, -12, -10, -10, -10, -10, -10, -8, -8, -8, -8,
1234  -8, -6, -6, -6, -4, -4, -3, -2, -2, -1, -1,
1235  -1, -1, -1, -1, 0, 0, 1, 3, 5, 6, 8}};
1236 
1237  const std::array<int, 33> _Jph3b{{0, 1, 0, 1, 5, 10, 12, 0, 1, 2, 4, 10, 0, 1, 2, 0, 1,
1238  5, 0, 4, 2, 4, 6, 10, 14, 16, 0, 2, 1, 1, 1, 1, 1}};
1239 
1241  const std::array<Real, 10> _n4{{0.11670521452767e4,
1242  -0.72421316703206e6,
1243  -0.17073846940092e2,
1244  0.12020824702470e5,
1245  -0.32325550322333e7,
1246  0.14915108613530e2,
1247  -0.48232657361591e4,
1248  0.40511340542057e6,
1249  -0.238555575678490,
1250  0.65017534844798e3}};
1251 
1253  const std::array<int, 6> _J05{{0, 1, -3, -2, -1, 2}};
1254  const std::array<Real, 6> _n05{{-0.13179983674201e2,
1255  0.68540841634434e1,
1256  -0.24805148933466e-1,
1257  0.36901534980333,
1258  -0.31161318213925e1,
1259  -0.32961626538917}};
1260 
1261  const std::array<int, 6> _I5{{1, 1, 1, 2, 2, 3}};
1262  const std::array<int, 6> _J5{{1, 2, 3, 3, 9, 7}};
1263  const std::array<Real, 6> _n5{{0.15736404855259e-2,
1264  0.90153761673944e-3,
1265  -0.50270077677648e-2,
1266  0.22440037409485e-5,
1267  -0.41163275453471e-5,
1268  0.37919454822955e-7}};
1269 
1271  const std::vector<std::vector<int>> _tempXY_I{{0, 1, 2, -1, -2},
1272  {0, 1, 2, 3},
1273  {0, 1, 2, 3, 4},
1274  {0, 1, 2, 3, 4},
1275  {0, 1, 2, 3, 4},
1276  {0, 1, 2, 3},
1277  {0, 1, 2, -1, -2},
1278  {0, 1, 2, 3},
1279  {0, 1, 2, 3},
1280  {0, 1, 2, 3, 4},
1281  {0, 1, 2, -1, -2}};
1282 
1283  const std::vector<std::vector<Real>> _tempXY_n{
1284  {0.154793642129415e4,
1285  -0.187661219490113e3,
1286  0.213144632222113e2,
1287  -0.191887498864292e4,
1288  0.918419702359447e3},
1289  {0.585276966696349e3, 0.278233532206915e1, -0.127283549295878e-1, 0.159090746562729e-3},
1290  {-0.249284240900418e5,
1291  0.428143584791546e4,
1292  -0.269029173140130e3,
1293  0.751608051114157e1,
1294  -0.787105249910383e-1},
1295  {0.584814781649163e3,
1296  -0.616179320924617,
1297  0.260763050899562,
1298  -0.587071076864459e-2,
1299  0.515308185433082e-4},
1300  {0.617229772068439e3,
1301  -0.770600270141675e1,
1302  0.697072596851896,
1303  -0.157391839848015e-1,
1304  0.137897492684194e-3},
1305  {0.535339483742384e3, 0.761978122720128e1, -0.158365725441648, 0.192871054508108e-2},
1306  {0.969461372400213e3,
1307  -0.332500170441278e3,
1308  0.642859598466067e2,
1309  0.773845935768222e3,
1310  -0.152313732937084e4},
1311  {0.565603648239126e3, 0.529062258221222e1, -0.102020639611016, 0.122240301070145e-2},
1312  {0.584561202520006e3, -0.102961025163669e1, 0.243293362700452, -0.294905044740799e-2},
1313  {0.528199646263062e3, 0.890579602135307e1, -0.222814134903755, 0.286791682263697e-2},
1314  {0.728052609145380e1,
1315  0.973505869861952e2,
1316  0.147370491183191e2,
1317  0.329196213998375e3,
1318  0.873371668682417e3}};
1319 
1322  const std::array<int, 21> _mu_I{{0, 1, 2, 3, 0, 1, 2, 3, 5, 0, 1, 2, 3, 4, 0, 1, 0, 3, 4, 3, 5}};
1323  const std::array<int, 21> _mu_J{{0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5, 6, 6}};
1324  const std::array<Real, 4> _mu_H0{{1.67752, 2.20462, 0.6366564, -0.241605}};
1325  const std::array<Real, 21> _mu_H1{
1326  {5.20094e-1, 8.50895e-2, -1.08374, -2.89555e-1, 2.22531e-1, 9.99115e-1, 1.88797,
1327  1.26613, 1.20573e-1, -2.81378e-1, -9.06851e-1, -7.72479e-1, -4.89837e-1, -2.57040e-1,
1328  1.61913e-1, 2.57399e-1, -3.25372e-2, 6.98452e-2, 8.72102e-3, -4.35673e-3, -5.93264e-4}};
1329 
1331  std::array<Real, 4> _k_a{{0.0102811, 0.0299621, 0.0156146, -0.00422464}};
1332 
1334  const std::array<Real, 5> _T_star{{1386.0, 540.0, _T_critical, 1.0, 1000.0}};
1336  const std::array<Real, 5> _p_star{{16.53e6, 1.0e6, 1.0e6, 1.0e6, 1.0e6}};
1337 };
1338 
1339 #pragma GCC diagnostic pop
Water97FluidProperties::subregion3
unsigned int subregion3(Real pressure, Real temperature) const
Provides the correct subregion index for a (P,T) point in region 3.
Definition: Water97FluidProperties.C:1271
Water97FluidProperties::_p_star
const std::array< Real, 5 > _p_star
Pressure scale for each region.
Definition: Water97FluidProperties.h:1336
Water97FluidProperties::d2gamma2_dpi2
Real d2gamma2_dpi2(Real pi, Real tau) const
Second derivative of Gibbs free energy in Region 2 wrt pi.
Definition: Water97FluidProperties.C:1050
Water97FluidProperties::_Jph3a
const std::array< int, 31 > _Jph3a
Definition: Water97FluidProperties.h:1219
Water97FluidProperties::rho_from_p_T
virtual Real rho_from_p_T(Real pressure, Real temperature) const override
Definition: Water97FluidProperties.C:82
Water97FluidProperties::_n4
const std::array< Real, 10 > _n4
Constants for region 4 (the saturation curve up to the critical point)
Definition: Water97FluidProperties.h:1241
Water97FluidProperties::_T_star
const std::array< Real, 5 > _T_star
Temperature scale for each region.
Definition: Water97FluidProperties.h:1334
Water97FluidProperties::_n1
const std::array< Real, 34 > _n1
Reference constants used in to calculate thermophysical properties of water.
Definition: Water97FluidProperties.h:681
Water97FluidProperties::gamma5
Real gamma5(Real pi, Real tau) const
Gibbs free energy in Region 5.
Definition: Water97FluidProperties.C:1176
validParams< Water97FluidProperties >
InputParameters validParams< Water97FluidProperties >()
Definition: Water97FluidProperties.C:18
Water97FluidProperties::_Iph2a
const std::array< int, 36 > _Iph2a
Definition: Water97FluidProperties.h:756
Water97FluidProperties::_p_critical
const Real _p_critical
Critical pressure (Pa)
Definition: Water97FluidProperties.h:662
Water97FluidProperties::_k_a
std::array< Real, 4 > _k_a
Constants for thermal conductivity.
Definition: Water97FluidProperties.h:1331
SinglePhaseFluidProperties
Common class for single phase fluid properties.
Definition: SinglePhaseFluidProperties.h:89
Water97FluidProperties::_J5
const std::array< int, 6 > _J5
Definition: Water97FluidProperties.h:1262
Water97FluidProperties::b23p
Real b23p(Real temperature) const
Auxillary equation for the boundary between regions 2 and 3.
Definition: Water97FluidProperties.C:884
Water97FluidProperties::mu_from_p_T
virtual Real mu_from_p_T(Real pressure, Real temperature) const override
Definition: Water97FluidProperties.C:469
Water97FluidProperties::s_from_p_T
virtual Real s_from_p_T(Real pressure, Real temperature) const override
Definition: Water97FluidProperties.C:635
Water97FluidProperties::d2phi3_ddeltatau
Real d2phi3_ddeltatau(Real delta, Real tau) const
Second derivative of Helmholtz free energy in Region 3 wrt delta and tau.
Definition: Water97FluidProperties.C:1165
Water97FluidProperties::_Iph2c
const std::array< int, 23 > _Iph2c
Definition: Water97FluidProperties.h:790
Water97FluidProperties::subregion3ph
unsigned int subregion3ph(Real pressure, Real enthalpy) const
Provides the correct subregion index for a (P,h) point in region 3.
Definition: Water97FluidProperties.C:1650
Water97FluidProperties::_nph2c
const std::array< Real, 23 > _nph2c
Definition: Water97FluidProperties.h:782
Water97FluidProperties::_nph2b
const std::array< Real, 38 > _nph2b
Definition: Water97FluidProperties.h:763
Water97FluidProperties::dgamma5_dtau
Real dgamma5_dtau(Real pi, Real tau) const
Derivative of Gibbs free energy in Region 5 wrt tau.
Definition: Water97FluidProperties.C:1223
Water97FluidProperties::k_from_rho_T
virtual Real k_from_rho_T(Real density, Real temperature) const override
Definition: Water97FluidProperties.C:600
Water97FluidProperties::dphi3_dtau
Real dphi3_dtau(Real delta, Real tau) const
Derivative of Helmholtz free energy in Region 3 wrt tau.
Definition: Water97FluidProperties.C:1144
Water97FluidProperties::_n05
const std::array< Real, 6 > _n05
Definition: Water97FluidProperties.h:1254
SinglePhaseFluidProperties.h
Water97FluidProperties::_J1
const std::array< int, 34 > _J1
Definition: Water97FluidProperties.h:695
Water97FluidProperties::d2gamma5_dtau2
Real d2gamma5_dtau2(Real pi, Real tau) const
Second derivative of Gibbs free energy in Region 5 wrt tau.
Definition: Water97FluidProperties.C:1239
Water97FluidProperties::dgamma1_dpi
Real dgamma1_dpi(Real pi, Real tau) const
Derivative of Gibbs free energy in Region 1 wrt pi.
Definition: Water97FluidProperties.C:963
Water97FluidProperties::criticalDensity
virtual Real criticalDensity() const override
Critical density.
Definition: Water97FluidProperties.C:64
Water97FluidProperties::OP
Definition: Water97FluidProperties.h:502
Water97FluidProperties::temperature_from_ph1
FPDualReal temperature_from_ph1(const FPDualReal &pressure, const FPDualReal &enthalpy) const
Backwards equation T(p, h) in Region 1 Eq.
Definition: Water97FluidProperties.C:1753
Water97FluidProperties::d2gamma1_dpitau
Real d2gamma1_dpitau(Real pi, Real tau) const
Second derivative of Gibbs free energy in Region 1 wrt pi and tau.
Definition: Water97FluidProperties.C:1007
Water97FluidProperties::tempXY
Real tempXY(Real pressure, subregionEnum xy) const
Boundaries between subregions in region 3.
Definition: Water97FluidProperties.C:1460
Water97FluidProperties::temperature_from_ph3a
FPDualReal temperature_from_ph3a(const FPDualReal &pressure, const FPDualReal &enthalpy) const
Backwards equation T(p, h) in Region 3a Eq.
Definition: Water97FluidProperties.C:1838
Water97FluidProperties::_rho_critical
const Real _rho_critical
Critical density (kg/m^3)
Definition: Water97FluidProperties.h:666
Water97FluidProperties::b2bc
Real b2bc(Real pressure) const
Boundary between subregions b and c in region 2.
Definition: Water97FluidProperties.C:1663
Water97FluidProperties::subregion2ph
unsigned int subregion2ph(Real pressure, Real enthalpy) const
Provides the correct subregion index for a (P,h) point in region 2.
Definition: Water97FluidProperties.C:1630
Water97FluidProperties::_I2
const std::array< int, 43 > _I2
Definition: Water97FluidProperties.h:737
Water97FluidProperties::h_from_p_T
virtual Real h_from_p_T(Real pressure, Real temperature) const override
Definition: Water97FluidProperties.C:682
Water97FluidProperties::_I5
const std::array< int, 6 > _I5
Definition: Water97FluidProperties.h:1261
Water97FluidProperties::vaporTemperature_ad
FPDualReal vaporTemperature_ad(const FPDualReal &pressure) const
AD version of saturation temperature as a function of pressure (used internally)
Definition: Water97FluidProperties.C:844
Water97FluidProperties::_Iph3b
const std::array< int, 33 > _Iph3b
Definition: Water97FluidProperties.h:1233
Water97FluidProperties::_J02
const std::array< int, 9 > _J02
Definition: Water97FluidProperties.h:735
Water97FluidProperties::subregionVolume
Real subregionVolume(Real pi, Real theta, Real a, Real b, Real c, Real d, Real e, unsigned int sid) const
Specific volume in all subregions of region 3 EXCEPT subregion n (13).
Definition: Water97FluidProperties.C:1521
Water97FluidProperties::_I3s
const std::vector< std::vector< int > > _I3s
Definition: Water97FluidProperties.h:1102
Water97FluidProperties::d2gamma5_dpitau
Real d2gamma5_dpitau(Real pi, Real tau) const
Second derivative of Gibbs free energy in Region 5 wrt pi and tau.
Definition: Water97FluidProperties.C:1256
Water97FluidProperties::b23T
Real b23T(Real pressure) const
Auxillary equation for the boundary between regions 2 and 3.
Definition: Water97FluidProperties.C:898
Water97FluidProperties::densityRegion3
Real densityRegion3(Real pressure, Real temperature) const
Density function for Region 3 - supercritical water and steam.
Definition: Water97FluidProperties.C:1534
Water97FluidProperties::vaporTemperature
Real vaporTemperature(Real pressure) const override
Saturation temperature as a function of pressure.
Definition: Water97FluidProperties.C:864
Water97FluidProperties::temperature_from_ph2a
FPDualReal temperature_from_ph2a(const FPDualReal &pressure, const FPDualReal &enthalpy) const
Backwards equation T(p, h) in Region 2a Eq.
Definition: Water97FluidProperties.C:1767
Water97FluidProperties::henryConstant
Real henryConstant(Real temperature, const std::vector< Real > &coeffs) const
IAPWS formulation of Henry's law constant for dissolution in water From Guidelines on the Henry's con...
Definition: Water97FluidProperties.C:1866
Water97FluidProperties::d2gamma1_dpi2
Real d2gamma1_dpi2(Real pi, Real tau) const
Second derivative of Gibbs free energy in Region 1 wrt pi.
Definition: Water97FluidProperties.C:974
Water97FluidProperties::triplePointPressure
virtual Real triplePointPressure() const override
Triple point pressure.
Definition: Water97FluidProperties.C:70
Water97FluidProperties::_J05
const std::array< int, 6 > _J05
Constants for region 5.
Definition: Water97FluidProperties.h:1253
Water97FluidProperties::subregionEnum
subregionEnum
Enum of subregion ids for region 3.
Definition: Water97FluidProperties.h:494
Water97FluidProperties::_n3s
const std::vector< std::vector< Real > > _n3s
Constants for all 26 subregions in region 3.
Definition: Water97FluidProperties.h:855
Water97FluidProperties::_mu_J
const std::array< int, 21 > _mu_J
Definition: Water97FluidProperties.h:1323
Water97FluidProperties::_Iph3a
const std::array< int, 31 > _Iph3a
Definition: Water97FluidProperties.h:1215
Water97FluidProperties::_J2
const std::array< int, 43 > _J2
Definition: Water97FluidProperties.h:741
Water97FluidProperties::JK
Definition: Water97FluidProperties.h:500
Water97FluidProperties::_nph2a
const std::array< Real, 36 > _nph2a
Definition: Water97FluidProperties.h:745
FPDualReal
DualNumber< Real, DNDerivativeSize< 5 > > FPDualReal
Definition: FluidProperties.h:15
Water97FluidProperties::_Rw
const Real _Rw
Specific gas constant for H2O (universal gas constant / molar mass of water - J/kg/K)
Definition: Water97FluidProperties.h:660
Water97FluidProperties::EF
Definition: Water97FluidProperties.h:507
NS::density
const std::string density
Definition: NS.h:16
Water97FluidProperties::dgamma5_dpi
Real dgamma5_dpi(Real pi, Real tau) const
Derivative of Gibbs free energy in Region 5 wrt pi.
Definition: Water97FluidProperties.C:1194
NS::enthalpy
const std::string enthalpy
Definition: NS.h:27
Water97FluidProperties::gamma2
Real gamma2(Real pi, Real tau) const
Gibbs free energy in Region 2 - superheated steam.
Definition: Water97FluidProperties.C:1018
Water97FluidProperties::_mu_I
const std::array< int, 21 > _mu_I
Constants from Release on the IAPWS Formulation 2008 for the Viscosity of Ordinary Water Substance.
Definition: Water97FluidProperties.h:1322
Water97FluidProperties::temperature_from_ph2b
FPDualReal temperature_from_ph2b(const FPDualReal &pressure, const FPDualReal &enthalpy) const
Backwards equation T(p, h) in Region 2b Eq.
Definition: Water97FluidProperties.C:1785
Water97FluidProperties::phi3
Real phi3(Real delta, Real tau) const
Helmholtz free energy in Region 3.
Definition: Water97FluidProperties.C:1113
Water97FluidProperties::_nph1
const std::array< Real, 20 > _nph1
Definition: Water97FluidProperties.h:699
Water97FluidProperties::_Jph2c
const std::array< int, 23 > _Jph2c
Definition: Water97FluidProperties.h:793
SinglePhaseFluidProperties::T
e e e e p h T T T T T T
Definition: SinglePhaseFluidProperties.h:177
Water97FluidProperties::k_from_p_T
virtual Real k_from_p_T(Real pressure, Real temperature) const override
Definition: Water97FluidProperties.C:587
Water97FluidProperties::temperature_from_ph3b
FPDualReal temperature_from_ph3b(const FPDualReal &pressure, const FPDualReal &enthalpy) const
Backwards equation T(p, h) in Region 3b Eq.
Definition: Water97FluidProperties.C:1852
Water97FluidProperties
Water (H2O) fluid properties as a function of pressure (Pa) and temperature (K) from IAPWS-IF97: Revi...
Definition: Water97FluidProperties.h:42
Water97FluidProperties::temperature_from_ph2c
FPDualReal temperature_from_ph2c(const FPDualReal &pressure, const FPDualReal &enthalpy) const
Backwards equation T(p, h) in Region 2c Eq.
Definition: Water97FluidProperties.C:1805
Water97FluidProperties::MN
Definition: Water97FluidProperties.h:501
Water97FluidProperties::_I3
const std::array< int, 40 > _I3
Definition: Water97FluidProperties.h:816
Water97FluidProperties::_T_triple
const Real _T_triple
Triple point temperature (K)
Definition: Water97FluidProperties.h:670
Water97FluidProperties::d2gamma2_dpitau
Real d2gamma2_dpitau(Real pi, Real tau) const
Second derivative of Gibbs free energy in Region 2 wrt pi and tau.
Definition: Water97FluidProperties.C:1098
Water97FluidProperties::inRegionPH
unsigned int inRegionPH(Real pressure, Real enthalpy) const
Determines the phase region that the given pressure and enthaply values lie in.
Definition: Water97FluidProperties.C:1574
SinglePhaseFluidProperties::rho
e e e e p h T rho
Definition: SinglePhaseFluidProperties.h:169
Water97FluidProperties::_J3
const std::array< int, 40 > _J3
Definition: Water97FluidProperties.h:819
Water97FluidProperties::_n5
const std::array< Real, 6 > _n5
Definition: Water97FluidProperties.h:1263
Water97FluidProperties::AB
Definition: Water97FluidProperties.h:496
Water97FluidProperties::_tempXY_I
const std::vector< std::vector< int > > _tempXY_I
Constnats for the tempXY() method.
Definition: Water97FluidProperties.h:1271
Water97FluidProperties::dgamma2_dpi
Real dgamma2_dpi(Real pi, Real tau) const
Derivative of Gibbs free energy in Region 2 wrt pi.
Definition: Water97FluidProperties.C:1036
Water97FluidProperties::_nph3b
const std::array< Real, 33 > _nph3b
Definition: Water97FluidProperties.h:1222
Water97FluidProperties::_Jph1
const std::array< int, 20 > _Jph1
Definition: Water97FluidProperties.h:708
Water97FluidProperties::dphi3_ddelta
Real dphi3_ddelta(Real delta, Real tau) const
Derivative of Helmholtz free energy in Region 3 wrt delta.
Definition: Water97FluidProperties.C:1123
Water97FluidProperties::b3ab
Real b3ab(Real pressure) const
Boundary between subregions a and b in region 3.
Definition: Water97FluidProperties.C:1823
Water97FluidProperties::d2phi3_ddelta2
Real d2phi3_ddelta2(Real delta, Real tau) const
Second derivative of Helmholtz free energy in Region 3 wrt delta.
Definition: Water97FluidProperties.C:1133
Water97FluidProperties::WX
Definition: Water97FluidProperties.h:506
Water97FluidProperties::_Jph2b
const std::array< int, 38 > _Jph2b
Definition: Water97FluidProperties.h:778
Water97FluidProperties::criticalTemperature
virtual Real criticalTemperature() const override
Critical temperature.
Definition: Water97FluidProperties.C:58
Water97FluidProperties::d2phi3_dtau2
Real d2phi3_dtau2(Real delta, Real tau) const
Second derivative of Helmholtz free energy in Region 3 wrt tau.
Definition: Water97FluidProperties.C:1154
Water97FluidProperties::QU
Definition: Water97FluidProperties.h:503
Water97FluidProperties::mu_from_rho_T
virtual Real mu_from_rho_T(Real density, Real temperature) const override
Definition: Water97FluidProperties.C:487
Water97FluidProperties::vaporPressure
virtual Real vaporPressure(Real temperature) const override
Vapor pressure.
Definition: Water97FluidProperties.C:786
Water97FluidProperties::rho_mu_from_p_T
virtual void rho_mu_from_p_T(Real pressure, Real temperature, Real &rho, Real &mu) const override
Combined methods.
Definition: Water97FluidProperties.C:561
Water97FluidProperties::T_from_p_h_ad
FPDualReal T_from_p_h_ad(const FPDualReal &pressure, const FPDualReal &enthalpy) const
AD version of backwards equation T(p, h) (used internally) From Revised Release on the IAPWS Industri...
Definition: Water97FluidProperties.C:1701
Water97FluidProperties::_n23
const std::array< Real, 5 > _n23
Constants for the boundary between regions 2 and 3.
Definition: Water97FluidProperties.h:797
Water97FluidProperties::GH
Definition: Water97FluidProperties.h:498
Water97FluidProperties::c_from_p_T
virtual Real c_from_p_T(Real pressure, Real temperature) const override
Definition: Water97FluidProperties.C:310
Water97FluidProperties::~Water97FluidProperties
virtual ~Water97FluidProperties()
Definition: Water97FluidProperties.C:37
Water97FluidProperties::criticalPressure
virtual Real criticalPressure() const override
Critical pressure.
Definition: Water97FluidProperties.C:52
Water97FluidProperties::_tempXY_n
const std::vector< std::vector< Real > > _tempXY_n
Definition: Water97FluidProperties.h:1283
Water97FluidProperties::_p_triple
const Real _p_triple
Triple point pressure (Pa)
Definition: Water97FluidProperties.h:668
Water97FluidProperties::cp_from_p_T
virtual Real cp_from_p_T(Real pressure, Real temperature) const override
Definition: Water97FluidProperties.C:368
Water97FluidProperties::_n02
const std::array< Real, 9 > _n02
Constants for region 2.
Definition: Water97FluidProperties.h:712
Water97FluidProperties::d2gamma5_dpi2
Real d2gamma5_dpi2(Real pi, Real tau) const
Second derivative of Gibbs free energy in Region 5 wrt pi.
Definition: Water97FluidProperties.C:1208
Water97FluidProperties::_Iph2b
const std::array< int, 38 > _Iph2b
Definition: Water97FluidProperties.h:775
Water97FluidProperties::IJ
Definition: Water97FluidProperties.h:499
Water97FluidProperties::_n3
const std::array< Real, 40 > _n3
Constants for region 3.
Definition: Water97FluidProperties.h:804
NS::temperature
const std::string temperature
Definition: NS.h:26
Water97FluidProperties::_Iph1
const std::array< int, 20 > _Iph1
Definition: Water97FluidProperties.h:706
Water97FluidProperties::CD
Definition: Water97FluidProperties.h:497
Water97FluidProperties::gamma1
Real gamma1(Real pi, Real tau) const
Gibbs free energy in Region 1 - single phase liquid region.
Definition: Water97FluidProperties.C:953
Water97FluidProperties::T_from_p_h
virtual Real T_from_p_h(Real pressure, Real enthalpy) const override
Backwards equation T(p, h) From Revised Release on the IAPWS Industrial Formulation 1997 for the Ther...
Definition: Water97FluidProperties.C:1676
Water97FluidProperties::_par3N
const std::array< unsigned int, 26 > _par3N
Definition: Water97FluidProperties.h:851
Water97FluidProperties::_J3s
const std::vector< std::vector< int > > _J3s
Definition: Water97FluidProperties.h:1154
Water97FluidProperties::d2gamma1_dtau2
Real d2gamma1_dtau2(Real pi, Real tau) const
Second derivative of Gibbs free energy in Region 1 wrt tau.
Definition: Water97FluidProperties.C:996
Water97FluidProperties::inRegion
unsigned int inRegion(Real pressure, Real temperature) const
Determines the phase region that the given pressure and temperature values lie in.
Definition: Water97FluidProperties.C:910
Water97FluidProperties::dgamma2_dtau
Real dgamma2_dtau(Real pi, Real tau) const
Derivative of Gibbs free energy in Region 2 wrt tau.
Definition: Water97FluidProperties.C:1065
Water97FluidProperties::_I1
const std::array< int, 34 > _I1
Definition: Water97FluidProperties.h:692
Water97FluidProperties::_mu_H0
const std::array< Real, 4 > _mu_H0
Definition: Water97FluidProperties.h:1324
Water97FluidProperties::molarMass
virtual Real molarMass() const override
Fluid name.
Definition: Water97FluidProperties.C:46
Water97FluidProperties::dgamma1_dtau
Real dgamma1_dtau(Real pi, Real tau) const
Derivative of Gibbs free energy in Region 1 wrt tau.
Definition: Water97FluidProperties.C:985
Water97FluidProperties::cv_from_p_T
virtual Real cv_from_p_T(Real pressure, Real temperature) const override
Definition: Water97FluidProperties.C:417
Water97FluidProperties::e_from_p_T
virtual Real e_from_p_T(Real pressure, Real temperature) const override
Definition: Water97FluidProperties.C:187
Water97FluidProperties::_nph3a
const std::array< Real, 31 > _nph3a
Definition: Water97FluidProperties.h:1205
Water97FluidProperties::fluidName
virtual std::string fluidName() const override
Definition: Water97FluidProperties.C:40
SinglePhaseFluidProperties::p
e e e e p h p
Definition: SinglePhaseFluidProperties.h:167
Water97FluidProperties::_par3
const std::array< std::array< Real, 8 >, 26 > _par3
Definition: Water97FluidProperties.h:823
Water97FluidProperties::RX
Definition: Water97FluidProperties.h:504
Water97FluidProperties::_mu_H1
const std::array< Real, 21 > _mu_H1
Definition: Water97FluidProperties.h:1325
Water97FluidProperties::_n2
const std::array< Real, 43 > _n2
Definition: Water97FluidProperties.h:722
Water97FluidProperties::_Jph3b
const std::array< int, 33 > _Jph3b
Definition: Water97FluidProperties.h:1237
Water97FluidProperties::_Jph2a
const std::array< int, 36 > _Jph2a
Definition: Water97FluidProperties.h:759
Water97FluidProperties::d2gamma2_dtau2
Real d2gamma2_dtau2(Real pi, Real tau) const
Second derivative of Gibbs free energy in Region 2 wrt tau.
Definition: Water97FluidProperties.C:1081
NS::pressure
const std::string pressure
Definition: NS.h:25
Water97FluidProperties::UV
Definition: Water97FluidProperties.h:505
Water97FluidProperties::triplePointTemperature
virtual Real triplePointTemperature() const override
Triple point temperature.
Definition: Water97FluidProperties.C:76
SinglePhaseFluidProperties::h
e e e e h
Definition: SinglePhaseFluidProperties.h:163
Water97FluidProperties::_Mh2o
const Real _Mh2o
Water molar mass (kg/mol)
Definition: Water97FluidProperties.h:658
Water97FluidProperties::Water97FluidProperties
Water97FluidProperties(const InputParameters &parameters)
Definition: Water97FluidProperties.C:25
Water97FluidProperties::_T_critical
const Real _T_critical
Critical temperature (K)
Definition: Water97FluidProperties.h:664
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