MetricTensor< Mapping, PositionCoordinate > Class Template Reference

An operator for calculating the metric tensor. More...

Public Types
using	Matrix_2x2 = std::array< std::array< double, 2 >, 2 >
	The type of the Jacobian matrix and its inverse.

Public Member Functions
KOKKOS_FUNCTION	MetricTensor (Mapping mapping)
	A constructor for the metric tensor operator.
KOKKOS_FUNCTION void	operator() (Matrix_2x2 &matrix, PositionCoordinate const &coord) const
	Compute the metric tensor assignd to the mapping.
KOKKOS_FUNCTION void	inverse (Matrix_2x2 &matrix, PositionCoordinate const &coord) const
	Compute the inverse metric tensor associated to the mapping.
KOKKOS_FUNCTION std::array< double, 2 >	to_covariant (std::array< double, 2 > const &contravariant_vector, PositionCoordinate const &coord) const
	Compute the covariant vector from the contravariant vector.

Detailed Description

template<class Mapping, class PositionCoordinate>
class MetricTensor< Mapping, PositionCoordinate >

An operator for calculating the metric tensor.

Template Parameters

Mapping	The mapping providing the Jacobian operator.
PositionCoordinate	The coordinate type where the metric tensor can be evaluated.

Constructor & Destructor Documentation

MetricTensor()

template<class Mapping , class PositionCoordinate >

KOKKOS_FUNCTION MetricTensor< Mapping, PositionCoordinate >::MetricTensor ( Mapping  mapping )

inline

A constructor for the metric tensor operator.

Parameters

[in]

mapping

The mapping which can be used to calculate the Jacobian.

Member Function Documentation

operator()()

template<class Mapping , class PositionCoordinate >

KOKKOS_FUNCTION void MetricTensor< Mapping, PositionCoordinate >::operator() ( Matrix_2x2 &  matrix, PositionCoordinate const &  coord  ) const

inline

Compute the metric tensor assignd to the mapping.

The metric tensor matrix is defined as: \( G = (J_{\mathcal{F}})^T J_{\mathcal{F}} \). with \( J_{\mathcal{F}} \) the Jacobian matrix.

Parameters

[in]	coord	The coordinate where we evaluate the metric tensor.
[out]	matrix	The metric tensor matrix.

inverse()

template<class Mapping , class PositionCoordinate >

KOKKOS_FUNCTION void MetricTensor< Mapping, PositionCoordinate >::inverse ( Matrix_2x2 &  matrix, PositionCoordinate const &  coord  ) const

inline

Compute the inverse metric tensor associated to the mapping.

Parameters

[in]	coord	The coordinate where we evaluate the metric tensor.
[out]	matrix	The metric tensor matrix.

to_covariant()

template<class Mapping , class PositionCoordinate >

KOKKOS_FUNCTION std::array< double, 2 > MetricTensor< Mapping, PositionCoordinate >::to_covariant ( std::array< double, 2 > const &  contravariant_vector, PositionCoordinate const &  coord  ) const

inline

Compute the covariant vector from the contravariant vector.

Parameters

[in]	contravariant_vector	The metric tensor matrix.
[in]	coord	The coordinate where we want to compute the convariant vector.

Returns

A vector of the covariant

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The documentation for this class was generated from the following file:

• /home/runner/work/gyselalibxx/gyselalibxx/code_branch/vendor/sll/include/sll/mapping/metric_tensor.hpp