|
| | Poisson ()=default |
| |
| | Poisson (const Geometry &g) |
| | Create Poisson on a grid.
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| |
| | Poisson (const Geometry &g, bc bcx, bc bcy) |
| | Create Poisson on a grid using different boundary conditions.
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| |
| | Poisson (const Geometry &g, bc bcxlhs, bc bcylhs, bc bcxrhs, bc bcyrhs) |
| | Create Poisson on a grid using different boundary conditions.
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| |
| template<class ContainerType0 , class ContainerType1 , class ContainerType2 > |
| void | operator() (const ContainerType0 &lhs, const ContainerType1 &rhs, ContainerType2 &result) |
| | Compute poisson's bracket.
|
| |
| template<class ContainerType0 > |
| void | set_chi (const ContainerType0 &new_chi) |
| | Change Chi.
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| |
| const Matrix & | dxlhs () const |
| | Return internally used x - derivative.
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| |
| const Matrix & | dylhs () const |
| | Return internally used y - derivative.
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| const Matrix & | dxrhs () const |
| | Return internally used x - derivative.
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| |
| const Matrix & | dyrhs () |
| | Return internally used y - derivative.
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| |
template<class Geometry, class Matrix, class Container>
struct dg::Poisson< Geometry, Matrix, Container >
Direct discretization of Poisson bracket \( \{ f,g\} \).
Computes
\[ \{f,g\} := \chi/\sqrt{g_{2d}}\left(\partial_x f\partial_y g - \partial_y f\partial_x g\right) \]
where \( g_{2d} = g/g_{zz}\) is the two-dimensional volume element of the plane in 2x1 product space and \( \chi\) is an optional factor. Has the possitility to use mixed boundary conditions
unsigned n = 5, Nx = 32, Ny = 48;
INFO("Computing on the Grid " <<n<<" x "<<Nx<<" x "<<Ny);
#ifdef WITH_MPI
, comm
#endif
);
bcxlhs, bcylhs, bcxrhs, bcyrhs );
poisson( lhs, rhs, jac);
- See also
- A discussion of this and other advection schemes can also be found here https://mwiesenberger.github.io/advection
- Template Parameters
-
| Geometry | A type that is or derives from one of the abstract geometry base classes ( aGeometry2d, aGeometry3d, aMPIGeometry2d, ...). Geometry determines which Matrix and Container types can be used: |
| Matrix | A class for which the dg::blas2::symv functions are callable in connection with the Container class and to which the return type of dg::create::dx() can be converted using dg::blas2::transfer. The Matrix type can be one of:
|
| Container | A data container class for which the blas1 functionality is overloaded and to which the return type of blas1::subroutine() can be converted using dg::assign. We assume that Container is copyable/assignable and has a swap member function. In connection with Geometry this is one of
|
template<class Geometry , class Matrix , class Container >
template<class ContainerType0 , class ContainerType1 , class ContainerType2 >
| void dg::Poisson< Geometry, Matrix, Container >::operator() |
( |
const ContainerType0 & | lhs, |
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|
const ContainerType1 & | rhs, |
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|
ContainerType2 & | result ) |
Compute poisson's bracket.
Computes
\[ [f,g] := 1/\sqrt{g_{2d}}\left(\partial_x f\partial_y g - \partial_y f\partial_x g\right) \]
where \( g_{2d} = g/g_{zz}\) is the two-dimensional volume element of the plane in 2x1 product space.
- Parameters
-
| lhs | left hand side in x-space |
| rhs | rights hand side in x-space |
| result | Poisson's bracket in x-space |
- Template Parameters
-
1.12.0