| [48b662] | 1 | /**
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| 2 | * @file discretization_poisson_fd.hpp
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| 3 | * @author Julian Iseringhausen <isering@ins.uni-bonn.de>
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| 4 | * @date Mon Apr 18 13:01:40 2011
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| 5 | *
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| 6 | * @brief Finite difference discretization of the
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| 7 | * Poisson equation.
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| 8 | *
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| 9 | */
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| 10 |
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| 11 |
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| 12 | #ifndef DISCRETIZATION_POISSON_FD_HPP_
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| 13 | #define DISCRETIZATION_POISSON_FD_HPP_
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| 14 |
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| 15 | #include "base/discretization.hpp"
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| 16 |
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| 17 | namespace VMG
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| 18 | {
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| 19 |
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| 20 | static inline vmg_float sqr(const vmg_float& val) {return val*val;}
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| 21 |
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| 22 | class DiscretizationPoissonFD : public Discretization
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| 23 | {
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| 24 | public:
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| 25 | DiscretizationPoissonFD()
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| 26 | {
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| 27 | stencil.SetDiag(6.0);
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| 28 | stencil.push_back(Displacement(-1, 0, 0, -1.0));
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| 29 | stencil.push_back(Displacement( 1, 0, 0, -1.0));
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| 30 | stencil.push_back(Displacement( 0, -1, 0, -1.0));
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| 31 | stencil.push_back(Displacement( 0, 1, 0, -1.0));
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| 32 | stencil.push_back(Displacement( 0, 0, -1, -1.0));
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| 33 | stencil.push_back(Displacement( 0, 0, 1, -1.0));
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| 34 | }
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| 35 |
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| 36 | vmg_float OperatorPrefactor(const Grid& grid) const
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| 37 | {
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| 38 | return 1.0 / (sqr(grid.MeshWidth()));
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| 39 | }
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| 40 |
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| 41 | private:
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| 42 | void SetInnerBoundaryCompute(Grid& sol_fine, Grid& rhs_fine, Grid& sol_coarse) const {}
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| 43 | };
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| 44 |
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| 45 | }
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| 46 |
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| 47 | #endif /* DISCRETIZATION_POISSON_FD_HPP_ */
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