#include <exact_soln.h>
Definition at line 90 of file exact_soln.h.
◆ VSoln()
| libMesh::VSoln::VSoln |
( |
const Real |
nu_in, |
|
|
const bool |
cavity_in |
|
) |
| |
|
inline |
◆ forcing()
| Real libMesh::VSoln::forcing |
( |
const Point & |
p | ) |
const |
|
inlineoverridevirtual |
Implements libMesh::ExactSoln.
Definition at line 105 of file exact_soln.h.
106 {
107 const auto x = p(0);
108 const auto y = p(1);
110 return nu * sin(x) * cos((1. / 2) * y *
pi) +
111 (1. / 4) *
pi *
pi *
nu * sin(x) * cos((1. / 2) * y *
pi) -
112 pi * sin(x) * sin(x) * sin((1. / 2) * y *
pi) * cos((1. / 2) * y *
pi) -
113 1. / 2 *
pi * sin(x) * sin(y) * sin((1. / 2) * x *
pi) * cos((1. / 2) * y *
pi) +
114 sin(y) * cos(x) * cos((1. / 2) * x *
pi) * cos((1. / 2) * y *
pi) + sin(x) * cos(y);
115 else
116 {
117 const auto quant1 = sin((1. / 4) * x *
pi);
118 return (5. / 16) *
pi *
pi *
nu * sin((1. / 4) * x *
pi) * cos((1. / 2) * y *
pi) -
119 pi * quant1 * quant1 * sin((1. / 2) * y *
pi) * cos((1. / 2) * y *
pi) -
120 1. / 2 *
pi * sin((1. / 4) * x *
pi) * sin((1. / 2) * x *
pi) *
121 sin((1. / 2) * y *
pi) * cos((1. / 2) * y *
pi) +
122 (1. / 4) *
pi * sin((1. / 2) * y *
pi) * cos((1. / 4) * x *
pi) *
123 cos((1. / 2) * x *
pi) * cos((1. / 2) * y *
pi) +
124 (3. / 2) *
pi * cos((1. / 4) * x *
pi) * cos((3. / 2) * y *
pi);
125 }
126 }
References cavity, nu, and libMesh::pi.
◆ operator()()
| Real libMesh::VSoln::operator() |
( |
const Point & |
p | ) |
const |
|
inlineoverridevirtual |
Implements libMesh::ExactSoln.
Definition at line 95 of file exact_soln.h.
96 {
97 const auto x = p(0);
98 const auto y = p(1);
100 return sin(x) * cos((1. / 2) * y *
pi);
101 else
102 return sin((1. / 4) * x *
pi) * cos((1. / 2) * y *
pi);
103 }
References cavity, and libMesh::pi.
◆ cavity
| const bool libMesh::VSoln::cavity |
|
private |
◆ nu
| const Real libMesh::VSoln::nu |
|
private |
The documentation for this class was generated from the following file:
