NullPoissonSolver ()=default (defined in NullPoissonSolver )NullPoissonSolver NullPoissonSolver ()=default (defined in NullPoissonSolver )NullPoissonSolver operator() (DSpanX electrostatic_potential, DSpanX electric_field, DViewSpXVx allfdistribu) const override (defined in NullPoissonSolver )NullPoissonSolver virtual operator() (DSpanXY electrostatic_potential, DSpanXY electric_field_x, DSpanXY electric_field_y, DViewSpXYVxVy allfdistribu) const override (defined in NullPoissonSolver )NullPoissonSolver virtual operator() (DSpanX electrostatic_potential, DSpanX electric_field, DViewSpXVx allfdistribu) const overrideNullPoissonSolver virtual operator() (DSpanXY electrostatic_potential, DSpanXY electric_field_x, DSpanXY electric_field_y, DViewSpXYVxVy allfdistribu) const overrideNullPoissonSolver virtual IPoissonSolver::operator() (DSpanRP electrostatic_potential, VectorFieldSpan< double, IDomainRP, NDTag< RDimX, RDimY >> electric_field, DViewRP allfdistribu) const =0IPoissonSolver pure virtual ~IPoissonSolver ()=default (defined in IPoissonSolver )IPoissonSolver virtual ~IPoissonSolver ()=default (defined in IPoissonSolver )IPoissonSolver virtual
operator() (DSpanX electrostatic_potential, DSpanX electric_field, DViewSpXVx allfdistribu) const overridevoid operator() (DSpanX electrostatic_potential, DSpanX electric_field, DViewSpXVx allfdistribu) const override The operator which solves the equation using the method described by the class. More... operator() (DSpanXY electrostatic_potential, DSpanXY electric_field_x, DSpanXY electric_field_y, DViewSpXYVxVy allfdistribu) const overridevoid operator() (DSpanXY electrostatic_potential, DSpanXY electric_field_x, DSpanXY electric_field_y, DViewSpXYVxVy allfdistribu) const override The operator which solves the equation using the method described by the class. More... virtual void operator() (DSpanRP electrostatic_potential, VectorFieldSpan < double, IDomainRP, NDTag< RDimX , RDimY >> electric_field, DViewRP allfdistribu) const =0 Compute the electrical potential and the electric field from the Poisson equation. More...
+
+◆ [1/2]
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+
+
+ void NullPoissonSolver::operator()
+ (
+ DSpanX
+ electrostatic_potential ,
+
+ DSpanX
+ electric_field ,
+
+ DViewSpXVx
+ allfdistribu
+
+ )
+ const
+
+
+
+
+override virtual
+
+
+
+
+
The operator which solves the equation using the method described by the class.
+
Parameters
+
+ [out] electrostatic_potential The electrostatic potential, the result of the poisson solver. [out] electric_field The electric field, the derivative of the electrostatic potential. [in] allfdistribu The distribution function.
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Implements IPoissonSolver .
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+ void NullPoissonSolver::operator()
+ (
+ DSpanXY
+ electrostatic_potential ,
+
+ DSpanXY
+ electric_field_x ,
+
+ DSpanXY
+ electric_field_y ,
+
+ DViewSpXYVxVy
+ allfdistribu
+
+ )
+ const
+
+
+
+
+override virtual
+
+
+
+
+
The operator which solves the equation using the method described by the class.
+
Parameters
+
+ [out] electrostatic_potential The electrostatic potential, the result of the poisson solver. [out] electric_field_x The x-component of the electric field, the gradient of the electrostatic potential. [out] electric_field_y The y-component of the electric field, the gradient of the electrostatic potential. [in] allfdistribu The distribution function.
+
+
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+
Implements IPoissonSolver .
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@@ -100,20 +100,15 @@
-
This is the complete list of members for FftPoissonSolverSplineX , including all inherited members.
+
This is the complete list of members for SplineChargeDensityCalculator , including all inherited members.
- FftPoissonSolverSplineX (SplineXBuilder const &spline_x_builder, SplineEvaluator< BSplinesX > const &spline_x_evaluator, Quadrature< IDimVx > const &quad) (defined in FftPoissonSolverSplineX )FftPoissonSolverSplineX operator() (DSpanX electrostatic_potential, DSpanX electric_field, DViewSpXVx allfdistribu) const override (defined in FftPoissonSolverSplineX )FftPoissonSolverSplineX virtual IPoissonSolver::operator() (DSpanRP electrostatic_potential, VectorFieldSpan< double, IDomainRP, NDTag< RDimX, RDimY >> electric_field, DViewRP allfdistribu) const =0IPoissonSolver pure virtual operator() (DSpanXY electrostatic_potential, DSpanXY electric_field_x, DSpanXY electric_field_y, DViewSpXYVxVy allfdistribu) const =0 (defined in IPoissonSolver )IPoissonSolver pure virtual ~FftPoissonSolverSplineX () override=default (defined in FftPoissonSolverSplineX )FftPoissonSolverSplineX ~IPoissonSolver ()=default (defined in IPoissonSolver )IPoissonSolver virtual ~IPoissonSolver ()=default (defined in IPoissonSolver )IPoissonSolver virtual ~IPoissonSolver ()=default (defined in IPoissonSolver )IPoissonSolver virtual operator() (DSpanX rho, DViewSpXVx allfdistribu) const finalSplineChargeDensityCalculator virtual IChargeDensityCalculator::operator() (DSpanXY rho, DViewSpXYVxVy allfdistribu) const =0IChargeDensityCalculator pure virtual SplineChargeDensityCalculator (SplineVxBuilder const &spline_vx_builder, SplineEvaluator< BSplinesVx > const &spline_vx_evaluator)SplineChargeDensityCalculator
Gyselalib++: SplineChargeDensityCalculator Class Reference
+
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+ Gyselalib++
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A class which calculates the charge density.
+ More...
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+
A class which calculates the charge density.
+
A class which calculates the charge density using an intermediate spline representation. The charge density is then used as the right hand side of the Poisson equation.
+
When using a spline representation where no boundary conditions need to be provided (e.g. with periodic or Greville boundary conditions) then this class is equivalent to the ChargeDensityCalculator when initialised with a quadrature based on splines. The version using the quadrature should always be preferred over this version as in this implementation the matrix equation is solved at each call of the operator. This makes it significantly more costly than the quadrature method.
+
When using a spline representation where boundary conditions need to be provided (e.g Hermite) this class provides zeros (derivative = 0.)
+
+
+
◆
+
+
+
+
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+ SplineChargeDensityCalculator::SplineChargeDensityCalculator
+ (
+ SplineVxBuilder const & spline_vx_builder ,
+
+ SplineEvaluator < BSplinesVx > const & spline_vx_evaluator
+
+ )
+
+
+
+
+
Constructor of SplineChargeDensityCalculator .
+
Parameters
+
+ spline_vx_builder A spline builder which calculates the coefficients of a spline representation. spline_vx_evaluator A spline evaluator which provides the value of a spline representation from its coefficients.
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◆
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+ DSpanX SplineChargeDensityCalculator::operator()
+ (
+ DSpanX
+ rho ,
+
+ DViewSpXVx
+ allfdistribu
+
+ )
+ const
+
+
+
+
+final virtual
+
+
+
+
+
Calculate the charge density rho from the distribution function.
+
Calculate the charge density by calculating the spline representation of slices of the distribution function at each spatial point along the velocity direction. This representation is then integrated and multiplied by the charge to find the charge density.
+
Parameters
+
+ [out] rho The charge density. [in] allfdistribu The distribution function.
+
+
+
Returns rho The charge density.
+
+
Implements IChargeDensityCalculator .
+
+
+
+
The documentation for this class was generated from the following file:
+
+
Matrix_2x2 typedefVlasovPoissonSolver< Mapping > operator() (DSpanRP electrostatic_potential, VectorFieldSpan< double, IDomainRP, NDTag< RDimX, RDimY >> electric_field, DViewRP allfdistribu) constVlasovPoissonSolver< Mapping > inline virtual operator() (DSpanX electrostatic_potential, DSpanX electric_field, DViewSpXVx allfdistribu) const =0 (defined in IPoissonSolver )IPoissonSolver pure virtual operator() (DSpanXY electrostatic_potential, DSpanXY electric_field_x, DSpanXY electric_field_y, DViewSpXYVxVy allfdistribu) const =0 (defined in IPoissonSolver )IPoissonSolver pure virtual IPoissonSolver::operator() (DSpanX electrostatic_potential, DSpanX electric_field, DViewSpXVx allfdistribu) const =0IPoissonSolver pure virtual IPoissonSolver::operator() (DSpanXY electrostatic_potential, DSpanXY electric_field_x, DSpanXY electric_field_y, DViewSpXYVxVy allfdistribu) const =0IPoissonSolver pure virtual VlasovPoissonSolver (Mapping const &mapping, SplineRPBuilder const &builder, SplineRPEvaluator const &evaluator, PolarSplineFEMPoissonSolver const &poisson_solver, double const epsilon=1e-12)VlasovPoissonSolver< Mapping > inline ~IPoissonSolver ()=default (defined in IPoissonSolver )IPoissonSolver virtual ~IPoissonSolver ()=default (defined in IPoissonSolver )IPoissonSolver virtual Compute the electric field from the Poisson equation. More... operator() (DSpanX electrostatic_potential, DSpanX electric_field, DViewSpXVx allfdistribu) const =0virtual void operator() (DSpanX electrostatic_potential, DSpanX electric_field, DViewSpXVx allfdistribu) const =0 The operator which solves the equation using the method described by the class. More... operator() (DSpanXY electrostatic_potential, DSpanXY electric_field_x, DSpanXY electric_field_y, DViewSpXYVxVy allfdistribu) const =0virtual void operator() (DSpanXY electrostatic_potential, DSpanXY electric_field_x, DSpanXY electric_field_y, DViewSpXYVxVy allfdistribu) const =0 The operator which solves the equation using the method described by the class. More...
Gyselalib++: ChargeDensityCalculatorSplineless Class Reference
+Gyselalib++: /__w/gyselalibxx/gyselalibxx/build/docs/src/geometryXYVxVy/poisson Directory Reference
@@ -99,78 +99,16 @@
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A class which computes charges density .
- More...
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A class which computes charges density .
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◆
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- void ChargeDensityCalculatorSplineless::operator()
- (
- DSpanX
- rho ,
-
- DViewSpXVx
- allfdistribu
-
- )
- const
-
-
-
-
-
Computes the charge density rho from the distribution function.
-
Parameters
-
- [in,out] rho [in] allfdistribu
-
-
-
-
-
-
The documentation for this class was generated from the following file:
Gyselalib++: FftPoissonSolverSplineX Class Reference
+Gyselalib++: /__w/gyselalibxx/gyselalibxx/build/docs/src/geometryXVx/poisson Directory Reference
@@ -99,48 +99,16 @@
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-
-
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-FftPoissonSolverSplineX (SplineXBuilder const &spline_x_builder, SplineEvaluator < BSplinesX > const &spline_x_evaluator, Quadrature < IDimVx > const &quad) operator() (DSpanX electrostatic_potential, DSpanX electric_field, DViewSpXVx allfdistribu) const override virtual void operator() (DSpanRP electrostatic_potential, VectorFieldSpan < double, IDomainRP, NDTag< RDimX , RDimY >> electric_field, DViewRP allfdistribu) const =0 Compute the electrical potential and the electric field from the Poisson equation. More... operator() (DSpanXY electrostatic_potential, DSpanXY electric_field_x, DSpanXY electric_field_y, DViewSpXYVxVy allfdistribu) const =0
-
The documentation for this class was generated from the following file:
8 #include <geometry.hpp> 10 #include "chargedensitycalculator.hpp" 10 #include "ichargedensitycalculator.hpp" 11 #include "ipoissonsolver.hpp" 14 using NUBSDomainX = ddc::DiscreteDomain<NUBSplinesX>;
25 using QMeshX = ddc::NonUniformPointSampling<QDimX>;
29 static int constexpr s_degree = BSplinesX::degree();
32 static int constexpr s_npts_gauss = BSplinesX::degree() + 1;
39 using QMeshX = ddc::NonUniformPointSampling<QDimX>;
49 ddc::Chunk<double, ddc::DiscreteDomain<QMeshX>> m_quad_coef;
43 static int constexpr s_degree = BSplinesX::degree();
46 static int constexpr s_npts_gauss = BSplinesX::degree() + 1;
51 std::unique_ptr<Matrix> m_fem_matrix;
54 static ddc::Coordinate<QDimX> quad_point_from_coord(ddc::Coordinate<RDimX>
const & coord)
56 return ddc::Coordinate<QDimX>(ddc::get<RDimX>(coord));
59 static ddc::Coordinate<RDimX> coord_from_quad_point(ddc::Coordinate<QDimX>
const & coord)
61 return ddc::Coordinate<RDimX>(ddc::get<QDimX>(coord));
71 void operator()(DSpanX electrostatic_potential, DSpanX electric_field, DViewSpXVx allfdistribu)
77 void solve_matrix_system(
78 ddc::ChunkSpan<double, NUBSDomainX> phi_spline_coef,
79 ddc::ChunkSpan<double, BSDomainX> rho_spline_coef)
const ;
Definition: chargedensitycalculator.hpp:13
Definition: femnonperiodicpoissonsolver.hpp:18
Definition: femnonperiodicpoissonsolver.hpp:21
63 ddc::Chunk<double, ddc::DiscreteDomain<QMeshX>> m_quad_coef;
65 std::unique_ptr<Matrix> m_fem_matrix;
68 static ddc::Coordinate<QDimX> quad_point_from_coord(ddc::Coordinate<RDimX>
const & coord)
70 return ddc::Coordinate<QDimX>(ddc::get<RDimX>(coord));
73 static ddc::Coordinate<RDimX> coord_from_quad_point(ddc::Coordinate<QDimX>
const & coord)
75 return ddc::Coordinate<RDimX>(ddc::get<QDimX>(coord));
98 void operator() (DSpanX electrostatic_potential, DSpanX electric_field, DViewSpXVx allfdistribu)
104 void solve_matrix_system(
105 ddc::ChunkSpan<double, NUBSDomainX> phi_spline_coef,
106 ddc::ChunkSpan<double, BSDomainX> rho_spline_coef)
const ;
An operator which solves the Poisson equation using Finite Elements on a non-periodic domain.
Definition: femnonperiodicpoissonsolver.hpp:28
void operator()(DSpanX electrostatic_potential, DSpanX electric_field, DViewSpXVx allfdistribu) const override
The operator which solves the equation using the method described by the class.
FemNonPeriodicPoissonSolver(SplineXBuilder const &spline_x_builder, SplineEvaluator< BSplinesX > const &spline_x_evaluator, IChargeDensityCalculator const &compute_rho)
Construct the FemNonPeriodicPoissonSolver operator.
A class which calculates the charge density.
Definition: ichargedensitycalculator.hpp:19
Base class for Poisson solver.
Definition: ipoissonsolver.hpp:13
A class for creating a spline approximation of a function.
Definition: spline_builder.hpp:42
8 #include <geometry.hpp> 10 #include "chargedensitycalculator.hpp" 10 #include "ichargedensitycalculator.hpp" 11 #include "ipoissonsolver.hpp" 21 using QMeshX = ddc::NonUniformPointSampling<QDimX>;
25 static int constexpr s_degree = BSplinesX::degree();
28 static int constexpr s_npts_gauss = BSplinesX::degree() + 1;
31 using QMeshX = ddc::NonUniformPointSampling<QDimX>;
35 static int constexpr s_degree = BSplinesX::degree();
38 static int constexpr s_npts_gauss = BSplinesX::degree() + 1;
43 ddc::Chunk<double, ddc::DiscreteDomain<QMeshX>> m_quad_coef;
45 std::unique_ptr<Matrix> m_fem_matrix;
48 static ddc::Coordinate<QDimX> quad_point_from_coord(ddc::Coordinate<RDimX>
const & coord)
50 return ddc::Coordinate<QDimX>(ddc::get<RDimX>(coord));
53 static ddc::Coordinate<RDimX> coord_from_quad_point(ddc::Coordinate<QDimX>
const & coord)
55 return ddc::Coordinate<RDimX>(ddc::get<QDimX>(coord));
65 void operator()(DSpanX electrostatic_potential, DSpanX electric_field, DViewSpXVx allfdistribu)
53 ddc::Chunk<double, ddc::DiscreteDomain<QMeshX>> m_quad_coef;
55 std::unique_ptr<Matrix> m_fem_matrix;
58 static ddc::Coordinate<QDimX> quad_point_from_coord(ddc::Coordinate<RDimX>
const & coord)
60 return ddc::Coordinate<QDimX>(ddc::get<RDimX>(coord));
63 static ddc::Coordinate<RDimX> coord_from_quad_point(ddc::Coordinate<QDimX>
const & coord)
65 return ddc::Coordinate<RDimX>(ddc::get<QDimX>(coord));
71 void solve_matrix_system(
72 ddc::ChunkSpan<double, BSDomainX> phi_spline_coef,
73 ddc::ChunkSpan<double, BSDomainX> rho_spline_coef)
const ;
Definition: chargedensitycalculator.hpp:13
Definition: femperiodicpoissonsolver.hpp:14
Definition: femperiodicpoissonsolver.hpp:17
88 void operator() (DSpanX electrostatic_potential, DSpanX electric_field, DViewSpXVx allfdistribu)
94 void solve_matrix_system(
95 ddc::ChunkSpan<double, BSDomainX> phi_spline_coef,
96 ddc::ChunkSpan<double, BSDomainX> rho_spline_coef)
const ;
An operator which solves the Poisson equation using Finite Elements on a periodic domain.
Definition: femperiodicpoissonsolver.hpp:24
void operator()(DSpanX electrostatic_potential, DSpanX electric_field, DViewSpXVx allfdistribu) const override
The operator which solves the equation using the method described by the class.
FemPeriodicPoissonSolver(SplineXBuilder const &spline_x_builder, SplineEvaluator< BSplinesX > const &spline_x_evaluator, IChargeDensityCalculator const &compute_rho)
Construct the FemPeriodicPoissonSolver operator.
A class which calculates the charge density.
Definition: ichargedensitycalculator.hpp:19
Base class for Poisson solver.
Definition: ipoissonsolver.hpp:13
A class for creating a spline approximation of a function.
Definition: spline_builder.hpp:42
singlemodeperturbinitialization.hpp ► poisson chargedensitycalculator.hpp chargedensitycalculator_splineless.hpp electricfield.hpp femnonperiodicpoissonsolver.hpp femperiodicpoissonsolver.hpp fftpoissonsolver.hpp fftpoissonsolver_splinex.hpp ipoissonsolver.hpp nullpoissonsolver.hpp electricfield.hpp femnonperiodicpoissonsolver.hpp femperiodicpoissonsolver.hpp fftpoissonsolver.hpp ichargedensitycalculator.hpp ipoissonsolver.hpp nullpoissonsolver.hpp splinechargedensitycalculator.hpp ► rhs collisions_inter.hpp collisions_intra.hpp chargedensitycalculator.hpp electricfield.hpp fftpoissonsolver.hpp ipoissonsolver.hpp nullpoissonsolver.hpp ichargedensitycalculator.hpp ipoissonsolver.hpp nullpoissonsolver.hpp ► time_integration itimesolver.hpp predcorr.hpp 7 #include <sll/spline_builder.hpp> 8 #include <sll/spline_evaluator.hpp> 10 #include <geometry.hpp> 18 std::vector<double> m_derivs_vxmin_data;
20 Span1D<double> m_derivs_vxmin;
22 std::vector<double> m_derivs_vxmax_data;
24 Span1D<double> m_derivs_vxmax;
31 void operator()(DSpanX rho, DViewSpXVx allfdistribu)
const ;
Definition: chargedensitycalculator.hpp:13
A class for creating a spline approximation of a function.
Definition: spline_builder.hpp:42
7 #include <geometry.hpp> 9 #include "ichargedensitycalculator.hpp" 10 #include "quadrature.hpp" 11 #include "simpson_quadrature.hpp" 40 DSpanX
operator() (DSpanX rho, DViewSpXVx allfdistribu)
const final ;
A class which computes charges density.
Definition: chargedensitycalculator.hpp:22
DSpanX operator()(DSpanX rho, DViewSpXVx allfdistribu) const final
Computes the charge density rho from the distribution function.
ChargeDensityCalculator(const Quadrature< IDimVx > &quad)
Create a ChargeDensityCalculator object.
A class which calculates the charge density.
Definition: ichargedensitycalculator.hpp:19
5 #include <sll/spline_builder.hpp> 6 #include <sll/spline_evaluator.hpp> 8 #include "chargedensitycalculator.hpp" 9 #include "electricfield.hpp" 8 #include "electricfield.hpp" 9 #include "ichargedensitycalculator.hpp" 10 #include "ipoissonsolver.hpp" 27 void operator()(DSpanX electrostatic_potential, DSpanX electric_field, DViewSpXVx allfdistribu)
Definition: chargedensitycalculator.hpp:13
52 void operator() (DSpanX electrostatic_potential, DSpanX electric_field, DViewSpXVx allfdistribu)
Definition: electricfield.hpp:15
Definition: fftpoissonsolver.hpp:13
An operator which solves the Poisson equation using a fast Fourier transform.
Definition: fftpoissonsolver.hpp:25
void operator()(DSpanX electrostatic_potential, DSpanX electric_field, DViewSpXVx allfdistribu) const override
The operator which solves the equation using the method described by the class.
FftPoissonSolver(SplineXBuilder const &spline_x_builder, SplineEvaluator< BSplinesX > const &spline_x_evaluator, IChargeDensityCalculator const &compute_rho)
Construct the FftPoissonSolver operator.
A class which calculates the charge density.
Definition: ichargedensitycalculator.hpp:19
Base class for Poisson solver.
Definition: ipoissonsolver.hpp:13
A class for creating a spline approximation of a function.
Definition: spline_builder.hpp:42
Gyselalib++: /__w/gyselalibxx/gyselalibxx/code_branch/src/geometryXVx/poisson/chargedensitycalculator_splineless.hpp Source File
+Gyselalib++: /__w/gyselalibxx/gyselalibxx/code_branch/src/geometryXVx/poisson/ichargedensitycalculator.hpp Source File
@@ -100,7 +100,7 @@
@@ -109,29 +109,24 @@
-
7 #include <geometry.hpp>
-
-
9 #include "quadrature.hpp"
-
10 #include "simpson_quadrature.hpp"
+
7 #include <sll/spline_builder.hpp>
+
8 #include <sll/spline_evaluator.hpp>
+
+
10 #include <geometry.hpp>
-
-
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29 void operator() (DSpanX rho, DViewSpXVx allfdistribu)
const ;
+
+
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+
29 virtual DSpanX
operator() (DSpanX rho, DViewSpXVx allfdistribu)
const = 0;
-
A class which computes charges density .
Definition: chargedensitycalculator_splineless.hpp:16
-
void operator()(DSpanX rho, DViewSpXVx allfdistribu) const
Computes the charge density rho from the distribution function.
-
ChargeDensityCalculatorSplineless(const Quadrature< IDimVx > &quad)
Create a ChargeDensityCalculatorSplineless object, integration is done using composite Simpson rule.
-
+
A class which calculates the charge density.
Definition: ichargedensitycalculator.hpp:19
+
virtual DSpanX operator()(DSpanX rho, DViewSpXVx allfdistribu) const =0
Calculate the charge density rho from the distribution function.
diff --git a/geometryXVx_2poisson_2ipoissonsolver_8hpp_source.html b/geometryXVx_2poisson_2ipoissonsolver_8hpp_source.html
index 9793d5dc1..585cf9fe3 100644
--- a/geometryXVx_2poisson_2ipoissonsolver_8hpp_source.html
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@@ -111,18 +111,18 @@
7 #include <geometry.hpp> 15 DSpanX electrostatic_potential,
16 DSpanX electric_field,
17 DViewSpXVx allfdistribu)
const = 0;
28 DSpanX electrostatic_potential,
29 DSpanX electric_field,
30 DViewSpXVx allfdistribu)
const = 0;
Base class for Poisson solver.
Definition: ipoissonsolver.hpp:13
virtual void operator()(DSpanRP electrostatic_potential, VectorFieldSpan< double, IDomainRP, NDTag< RDimX, RDimY >> electric_field, DViewRP allfdistribu) const =0
Compute the electrical potential and the electric field from the Poisson equation.
virtual void operator()(DSpanX electrostatic_potential, DSpanX electric_field, DViewSpXVx allfdistribu) const =0
The operator which solves the equation using the method described by the class.
16 void operator()(DSpanX electrostatic_potential, DSpanX electric_field, DViewSpXVx allfdistribu)
16 void operator() (DSpanX electrostatic_potential, DSpanX electric_field, DViewSpXVx allfdistribu)
Base class for Poisson solver.
Definition: ipoissonsolver.hpp:13
Definition: nullpoissonsolver.hpp:10
void operator()(DSpanX electrostatic_potential, DSpanX electric_field, DViewSpXVx allfdistribu) const override
The operator which solves the equation using the method described by the class.
7 #include <geometry.hpp> 17 int m_interp_dom_size_Vx;
18 int m_interp_dom_size_Vy;
25 void operator()(DSpanXY rho, DViewSpXYVxVy allfdistribu)
const ;
Definition: chargedensitycalculator.hpp:13
7 #include "geometry.hpp" 8 #include "ichargedensitycalculator.hpp" 28 int m_interp_dom_size_Vx;
29 int m_interp_dom_size_Vy;
53 void operator() (DSpanXY rho, DViewSpXYVxVy allfdistribu)
const final ;
A class which computes charges density.
Definition: chargedensitycalculator.hpp:22
ChargeDensityCalculator(SplineVxVyBuilder const &spline_vxvy_builder, SplineVxVyEvaluator const &spline_vxvy_evaluator)
Constructor of SplineChargeDensityCalculator.
void operator()(DSpanXY rho, DViewSpXYVxVy allfdistribu) const final
Calculate the charge density rho from the distribution function.
A class which calculates the charge density.
Definition: ichargedensitycalculator.hpp:19
A class for creating a 2D spline approximation of a function.
Definition: spline_builder_2d.hpp:15
9 #include "electricfield.hpp" 10 #include "ipoissonsolver.hpp" 28 DSpanXY electrostatic_potential,
29 DSpanXY electric_field_x,
30 DSpanXY electric_field_y,
31 DViewSpXYVxVy allfdistribu)
const override ;
Definition: chargedensitycalculator.hpp:13
54 DSpanXY electrostatic_potential,
55 DSpanXY electric_field_x,
56 DSpanXY electric_field_y,
57 DViewSpXYVxVy allfdistribu)
const override ;
Definition: electricfield.hpp:15
Definition: fftpoissonsolver.hpp:13
An operator which solves the Poisson equation using a fast Fourier transform.
Definition: fftpoissonsolver.hpp:25
FftPoissonSolver(SplineXYBuilder const &spline_xy_builder, SplineXYEvaluator const &spline_xy_evaluator, IChargeDensityCalculator const &compute_rho)
Construct the FftPoissonSolver operator.
void operator()(DSpanXY electrostatic_potential, DSpanXY electric_field_x, DSpanXY electric_field_y, DViewSpXYVxVy allfdistribu) const override
The operator which solves the equation using the method described by the class.
A class which calculates the charge density.
Definition: ichargedensitycalculator.hpp:19
Base class for Poisson solver.
Definition: ipoissonsolver.hpp:13
A class for creating a 2D spline approximation of a function.
Definition: spline_builder_2d.hpp:15
Gyselalib++: /__w/gyselalibxx/gyselalibxx/code_branch/src/geometryXYVxVy/poisson/ichargedensitycalculator.hpp Source File
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7 #include <geometry.hpp>
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31 virtual void operator() (DSpanXY rho, DViewSpXYVxVy allfdistribu)
const = 0;
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A class which calculates the charge density.
Definition: ichargedensitycalculator.hpp:19
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virtual void operator()(DSpanXY rho, DViewSpXYVxVy allfdistribu) const =0
Calculate the charge density rho from the distribution function.
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7 #include <geometry.hpp> 15 DSpanXY electrostatic_potential,
16 DSpanXY electric_field_x,
17 DSpanXY electric_field_y,
18 DViewSpXYVxVy allfdistribu)
const = 0;
32 DSpanXY electrostatic_potential,
33 DSpanXY electric_field_x,
34 DSpanXY electric_field_y,
35 DViewSpXYVxVy allfdistribu)
const = 0;
Base class for Poisson solver.
Definition: ipoissonsolver.hpp:13
virtual void operator()(DSpanRP electrostatic_potential, VectorFieldSpan< double, IDomainRP, NDTag< RDimX, RDimY >> electric_field, DViewRP allfdistribu) const =0
Compute the electrical potential and the electric field from the Poisson equation.
virtual void operator()(DSpanXY electrostatic_potential, DSpanXY electric_field_x, DSpanXY electric_field_y, DViewSpXYVxVy allfdistribu) const =0
The operator which solves the equation using the method described by the class.
17 DSpanXY electrostatic_potential,
18 DSpanXY electric_field_x,
19 DSpanXY electric_field_y,
Base class for Poisson solver.
Definition: ipoissonsolver.hpp:13
Definition: nullpoissonsolver.hpp:10
void operator()(DSpanXY electrostatic_potential, DSpanXY electric_field_x, DSpanXY electric_field_y, DViewSpXYVxVy allfdistribu) const override
The operator which solves the equation using the method described by the class.
Polar Poisson solver ▼ Geometry (x, v_x) Geometry X-Vx ▼ Geometry (x, y, v_x, v_y) Geometry X Y-Vx Vy Poisson Solver ▼ Geometry (x, y, v_x, v_y) Geometry X Y-Vx Vy Poisson Solver Interpolation Methods Quadrature Methods Time Stepping Methods Gyselalib++: /__w/gyselalibxx/gyselalibxx/code_branch/src/geometryXVx/poisson/fftpoissonsolver_splinex.hpp Source File
+Gyselalib++: /__w/gyselalibxx/gyselalibxx/code_branch/src/geometryXVx/poisson/splinechargedensitycalculator.hpp Source File
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5 #include <sll/spline_builder.hpp>
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6 #include <sll/spline_evaluator.hpp>
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8 #include "chargedensitycalculator_splineless.hpp"
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9 #include "electricfield.hpp"
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10 #include "ipoissonsolver.hpp"
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25 void operator()(DSpanX electrostatic_potential, DSpanX electric_field, DViewSpXVx allfdistribu)
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A class which computes charges density .
Definition: chargedensitycalculator_splineless.hpp:16
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Definition: electricfield.hpp:15
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Definition: fftpoissonsolver_splinex.hpp:13
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Base class for Poisson solver.
Definition: ipoissonsolver.hpp:13
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7 #include <sll/spline_builder.hpp>
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8 #include <sll/spline_evaluator.hpp>
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10 #include "geometry.hpp"
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11 #include "ichargedensitycalculator.hpp"
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35 std::vector<double> m_derivs_vxmin_data;
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37 Span1D<double> m_derivs_vxmin;
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39 std::vector<double> m_derivs_vxmax_data;
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41 Span1D<double> m_derivs_vxmax;
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67 DSpanX
operator() (DSpanX rho, DViewSpXVx allfdistribu)
const final ;
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A class which calculates the charge density.
Definition: ichargedensitycalculator.hpp:19
A class for creating a spline approximation of a function.
Definition: spline_builder.hpp:42
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A class which calculates the charge density.
Definition: splinechargedensitycalculator.hpp:30
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DSpanX operator()(DSpanX rho, DViewSpXVx allfdistribu) const final
Calculate the charge density rho from the distribution function.
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SplineChargeDensityCalculator(SplineVxBuilder const &spline_vx_builder, SplineEvaluator< BSplinesVx > const &spline_vx_evaluator)
Constructor of SplineChargeDensityCalculator.
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diff --git a/src_geometryXVx.html b/src_geometryXVx.html
index e1e295dba..02861e9c8 100644
--- a/src_geometryXVx.html
+++ b/src_geometryXVx.html
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The geoemtryXVx folder contains all the code describing methods which are specific to a geometry with 1 spatial dimension and 1 velocity dimension. It is broken up into the following sub-folders:
-Geometry X-Vx --> - All the dimension tags used for a simulation in the geometry. Geometry X-Vx --> - All the dimension tags used for a simulation in the geometry.Poisson Solver - Code describing the polar Poisson solver.
diff --git a/src_geometryXVx.js b/src_geometryXVx.js
index 5b222c6b6..82f2ed5e6 100644
--- a/src_geometryXVx.js
+++ b/src_geometryXVx.js
@@ -1,4 +1,8 @@
var src_geometryXVx =
[
- [ "Geometry X-Vx", "src_geometryXVx_geometry.html", null ]
+ [ "Geometry X-Vx", "src_geometryXVx_geometry.html", null ],
+ [ "Poisson Solver", "src_geometryXVx_poisson.html", [
+ [ "Charge Density", "src_geometryXVx_poisson.html#Charge_Density", null ],
+ [ "Poisson Solver", "src_geometryXVx_poisson.html#Poisson_Solver", null ]
+ ] ]
];
\ No newline at end of file
diff --git a/src_geometryXVx_poisson.html b/src_geometryXVx_poisson.html
new file mode 100644
index 000000000..83eb10015
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+Gyselalib++: Poisson Solver
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The Poisson solver is designed to solve the following Poisson equation:
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+\[ -\frac{d^2 \phi}{d x^2}(x) = \sum_s \int_v q_s f_s(x,v) dv \]
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This calculation is split into two parts. Firstly the charge density is calculated:
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+\[ \rho_{q,s}(x) = \int_v q_s f_s(x,v) dv \]
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Then the basic Poisson equation:
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+\[ -\frac{d^2 \phi}{d x^2}(x) = \sum_s \rho_{q,s}(x) \]
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is solved.
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The charge density is calculated by integrating the distribution function. The simplest way of doing this is using the ChargeDensityCalculator class which takes a quadrature method.
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For historical reasons the class SplineChargeDensityCalculator also exists. This class creates an intermediate representation of a spline and integrates that representation. This is equivalent to using ChargeDensityCalculator and providing a spline quadrature. The quadrature method should be preferred as the numerical cost is significantly smaller.
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The Poisson equation can be solved with a variety of different methods. Here we have implemented:
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These classes return the electric potential \(\phi\) and the electric field \(\frac{d \phi}{dx}\).
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The FftPoissonSolver does not calculate the electric field using the Fourier modes. Rather it uses a spline interpolation to approximate this value. This interpolation is calculated by the operator ElectricField .
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The geoemtryXYVxVy folder contains all the code describing methods which are specific to a geometry with 2 spatial dimensions and 2 velocity dimensions. It is broken up into the following sub-folders:
diff --git a/src_geometryXYVxVy.js b/src_geometryXYVxVy.js
index e62693bea..e3c9befd9 100644
--- a/src_geometryXYVxVy.js
+++ b/src_geometryXYVxVy.js
@@ -1,4 +1,5 @@
var src_geometryXYVxVy =
[
- [ "Geometry X Y-Vx Vy", "src_geometryXYVxVy_geometry.html", null ]
+ [ "Geometry X Y-Vx Vy", "src_geometryXYVxVy_geometry.html", null ],
+ [ "Poisson Solver", "src_geometryXYVxVy_poisson.html", null ]
];
\ No newline at end of file
diff --git a/src_geometryXYVxVy_poisson.html b/src_geometryXYVxVy_poisson.html
new file mode 100644
index 000000000..3ce73df55
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+Gyselalib++: Poisson Solver
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The Poisson solver is designed to solve the following Poisson equation:
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+\[ -\Delta \phi(x) = \sum_s \int q_s f_s(x,y,v_x,v_y) dv_x dv_y \]
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This calculation is split into two parts. Firstly the charge density is calculated:
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+\[ \rho_{q,s}(x, y) = \int q_s f_s(x,y,v_x,v_y) dv_x v_y \]
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Then the basic Poisson equation:
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+\[ -\Delta \phi(x) = \sum_s \rho_{q,s}(x,y) \]
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is solved.
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The charge density is calculated by integrating the distribution function. Currently this is done by creating an intermediate representation of a spline and integrating that representation. This is costly and should be replaced by a ChargeDensityCalculator which uses a spline quadrature.
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The Poisson equation can be solved with a variety of different methods. Here we have implemented:
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These classes return the electric potential \(\phi\) and the electric field \(\frac{d \phi}{dx}\).
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The FftPoissonSolver does not calculate the electric field using the Fourier modes. Rather it uses a spline interpolation to approximate this value. This interpolation is calculated by the operator ElectricField .
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Public Member Functions inherited from IPoissonSolver
1.9.1
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