Line data    Source code

       1             : // The libMesh Finite Element Library.
       2             : // Copyright (C) 2002-2025 Benjamin S. Kirk, John W. Peterson, Roy H. Stogner
       3             : 
       4             : // This library is free software; you can redistribute it and/or
       5             : // modify it under the terms of the GNU Lesser General Public
       6             : // License as published by the Free Software Foundation; either
       7             : // version 2.1 of the License, or (at your option) any later version.
       8             : 
       9             : // This library is distributed in the hope that it will be useful,
      10             : // but WITHOUT ANY WARRANTY; without even the implied warranty of
      11             : // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
      12             : // Lesser General Public License for more details.
      13             : 
      14             : // You should have received a copy of the GNU Lesser General Public
      15             : // License along with this library; if not, write to the Free Software
      16             : // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
      17             : 
      18             : 
      19             : 
      20             : // Local includes
      21             : #include "libmesh/quadrature_grid.h"
      22             : #include "libmesh/enum_to_string.h"
      23             : 
      24             : namespace libMesh
      25             : {
      26             : 
      27             : 
      28        1917 : void QGrid::init_3D()
      29             : {
      30             : #if LIBMESH_DIM == 3
      31             : 
      32        1917 :   switch (_type)
      33             :     {
      34             :       //---------------------------------------------
      35             :       // Hex quadrature rules
      36         639 :     case HEX8:
      37             :     case HEX20:
      38             :     case HEX27:
      39             :       {
      40             :         // We compute the 3D quadrature rule as a tensor
      41             :         // product of the 1D quadrature rule.
      42             :         //
      43             :         // We ignore p_level in QGrid, since the "order" here is a
      44             :         // user-requested number of grid points, nothing to do with
      45             :         // the order of exactly-integrated polynomial spaces
      46         657 :         QGrid q1D(1,_order);
      47             : 
      48         639 :         tensor_product_hex( q1D );
      49             : 
      50          18 :         return;
      51             :       }
      52             : 
      53             : 
      54             : 
      55             :       //---------------------------------------------
      56             :       // Tetrahedral quadrature rules
      57         639 :     case TET4:
      58             :     case TET10:
      59             :     case TET14:
      60             :       {
      61         657 :         const unsigned int np = (_order+1)*(_order+2)*(_order+3)/6;
      62             :         // Master tet has 1x1 triangle base, height 1, so volume = 1/6
      63         639 :         const Real weight = Real(1)/Real(6)/np;
      64         639 :         const Real dx = Real(1)/(_order+1);
      65         639 :         _points.resize(np);
      66         639 :         _weights.resize(np);
      67             : 
      68          18 :         unsigned int pt = 0;
      69        4491 :         for (int i = 0; i != _order + 1; ++i)
      70             :           {
      71       19383 :             for (int j = 0; j != _order + 1 - i; ++j)
      72             :               {
      73       66243 :                 for (int k = 0; k != _order + 1 - i - j; ++k)
      74             :                   {
      75       50694 :                     _points[pt](0) = (i+0.5)*dx;
      76       50694 :                     _points[pt](1) = (j+0.5)*dx;
      77       50694 :                     _points[pt](2) = (k+0.5)*dx;
      78       50694 :                     _weights[pt] = weight;
      79       50694 :                     pt++;
      80             :                   }
      81             :               }
      82             :           }
      83          18 :         return;
      84             :       }
      85             : 
      86             : 
      87             :       // Prism quadrature rules
      88           0 :     case PRISM6:
      89             :     case PRISM15:
      90             :     case PRISM18:
      91             :     case PRISM20:
      92             :     case PRISM21:
      93             :       {
      94             :         // We compute the 3D quadrature rule as a tensor
      95             :         // product of the 1D quadrature rule and a 2D
      96             :         // triangle quadrature rule
      97             :         //
      98             :         // We ignore p_level in QGrid, since the "order" here is a
      99             :         // user-requested number of grid points, nothing to do with
     100             :         // the order of exactly-integrated polynomial spaces
     101           0 :         QGrid q1D(1,_order);
     102           0 :         QGrid q2D(2,_order);
     103             : 
     104             :         // Initialize the 2D rule (1D is pre-initialized)
     105           0 :         q2D.init(TRI3, 0, /*simple_type_only=*/true);
     106             : 
     107           0 :         tensor_product_prism(q1D, q2D);
     108             : 
     109           0 :         return;
     110             :       }
     111             : 
     112             : 
     113             : 
     114             :       //---------------------------------------------
     115             :       // Pyramid
     116         639 :     case PYRAMID5:
     117             :     case PYRAMID13:
     118             :     case PYRAMID14:
     119             :     case PYRAMID18:
     120             :       {
     121         657 :         const unsigned int np = (_order+1)*(_order+2)*(_order+3)/6;
     122         639 :         _points.resize(np);
     123         639 :         _weights.resize(np);
     124             :         // Master pyramid has 2x2 base, height 1, so volume = 4/3
     125         639 :         const Real weight = Real(4)/Real(3)/np;
     126         639 :         const Real dx = Real(2)/(_order+1);
     127         639 :         const Real dz = Real(1)/(_order+1);
     128             : 
     129          18 :         unsigned int pt = 0;
     130        4473 :         for (int k = 0; k != _order + 1; ++k)
     131             :           {
     132       19383 :             for (int i = 0; i != _order + 1 - k; ++i)
     133             :               {
     134       66243 :                 for (int j = 0; j != _order + 1 - k - i; ++j)
     135             :                   {
     136       53550 :                     _points[pt](0) = (i+0.5)*dx-1.0 +
     137       50694 :                       (k+0.5)*dz;
     138       50694 :                     _points[pt](1) = (j+0.5)*dx-1.0 +
     139        1428 :                       (k+0.5)*dz;
     140       50694 :                     _points[pt](2) = (k+0.5)*dz;
     141       50694 :                     _weights[pt] = weight;
     142       50694 :                     pt++;
     143             :                   }
     144             :               }
     145             :           }
     146          18 :         return;
     147             :       }
     148             : 
     149             : 
     150             : 
     151             :       //---------------------------------------------
     152             :       // Unsupported type
     153           0 :     default:
     154           0 :       libmesh_error_msg("ERROR: Unsupported type: " << Utility::enum_to_string(_type));
     155             :     }
     156             : #endif
     157             : }
     158             : 
     159             : } // namespace libMesh