ALETransformations Namespace Reference

Functions
template<int dim>
Tensor< 2, dim >	get_pI (unsigned int q, std::vector< Vector< double > > old_solution_values)
template<int dim>
Tensor< 2, dim >	get_pI_LinP (const double phi_i_p)
template<int dim>
Tensor< 1, dim >	get_grad_p (unsigned int q, std::vector< std::vector< Tensor< 1, dim > > > old_solution_grads)
template<int dim>
Tensor< 1, dim >	get_grad_p_LinP (const Tensor< 1, dim > phi_i_grad_p)
template<int dim>
Tensor< 2, dim >	get_grad_u (unsigned int q, std::vector< std::vector< Tensor< 1, dim > > > old_solution_grads)
template<int dim>
Tensor< 2, dim >	get_grad_v (unsigned int q, std::vector< std::vector< Tensor< 1, dim > > > old_solution_grads)
template<int dim>
Tensor< 2, dim >	get_grad_v_T (const Tensor< 2, dim > tensor_grad_v)
template<int dim>
Tensor< 2, dim >	get_grad_v_LinV (const Tensor< 2, dim > phi_i_grads_v)
template<int dim>
Tensor< 2, dim >	get_Identity ()
template<int dim>
Tensor< 2, dim >	get_F (unsigned int q, std::vector< std::vector< Tensor< 1, dim > > > old_solution_grads)
template<int dim>
Tensor< 2, dim >	get_F_T (const Tensor< 2, dim > F)
template<int dim>
Tensor< 2, dim >	get_F_Inverse (const Tensor< 2, dim > F)
template<int dim>
Tensor< 2, dim >	get_F_Inverse_T (const Tensor< 2, dim > F_Inverse)
template<int dim>
double	get_J (const Tensor< 2, dim > tensor_F)
template<int dim>
Tensor< 1, dim >	get_v (unsigned int q, std::vector< Vector< double > > old_solution_values)
template<int dim>
Tensor< 1, dim >	get_v_LinV (const Tensor< 1, dim > phi_i_v)
template<int dim>
Tensor< 1, dim >	get_u (unsigned int q, std::vector< Vector< double > > old_solution_values)
template<int dim>
Tensor< 1, dim >	get_u_LinU (const Tensor< 1, dim > phi_i_u)
template<int dim>
Tensor< 1, dim >	get_w (unsigned int q, std::vector< Vector< double > > old_solution_values)
template<int dim>
Tensor< 2, dim >	get_grad_w (unsigned int q, std::vector< std::vector< Tensor< 1, dim > > > old_solution_grads)
template<int dim>
double	get_J_LinU (unsigned int q, const std::vector< std::vector< Tensor< 1, dim > > > old_solution_grads, const Tensor< 2, dim > phi_i_grads_u)
template<int dim>
double	get_J_Inverse_LinU (const double J, const double J_LinU)
template<int dim>
Tensor< 2, dim >	get_F_LinU (const Tensor< 2, dim > phi_i_grads_u)
template<int dim>
Tensor< 2, dim >	get_F_Inverse_LinU (const Tensor< 2, dim > phi_i_grads_u, const double J, const double J_LinU, unsigned int q, std::vector< std::vector< Tensor< 1, dim > > > old_solution_grads)
template<int dim>
Tensor< 2, dim >	get_J_F_Inverse_T_LinU (const Tensor< 2, dim > phi_i_grads_u)
template<int dim>
double	get_tr_C_LinU (unsigned int q, const std::vector< std::vector< Tensor< 1, dim > > > old_solution_grads, const Tensor< 2, dim > phi_i_grads_u)

---

Detailed Description

In this namespace, we define tensors for the solution variables v (velocity), u (displacement), p (pressure), and w (second displacment). Moreover, we define corresponding tensors for derivatives (e.g., gradients, deformation gradients) and linearized tensors that are needed to solve the non-linear problem with Newton's method.

---

Function Documentation

template<int dim>

Tensor<2,dim> ALETransformations::get_pI	(	unsigned int	q,
		std::vector< Vector< double > >	old_solution_values
	)		[inline]

Definition at line 159 of file step-fsi.cc.

template<int dim>

Tensor<2,dim> ALETransformations::get_pI_LinP

(

const double

phi_i_p

)

[inline]

Definition at line 172 of file step-fsi.cc.

References Tensor< rank_, dim, Number >::clear().

template<int dim>

Tensor<1,dim> ALETransformations::get_grad_p	(	unsigned int	q,
		std::vector< std::vector< Tensor< 1, dim > > >	old_solution_grads
	)		[inline]

Definition at line 185 of file step-fsi.cc.

template<int dim>

Tensor<1,dim> ALETransformations::get_grad_p_LinP

(

const Tensor< 1, dim >

phi_i_grad_p

)

[inline]

Definition at line 198 of file step-fsi.cc.

template<int dim>

Tensor<2,dim> ALETransformations::get_grad_u	(	unsigned int	q,
		std::vector< std::vector< Tensor< 1, dim > > >	old_solution_grads
	)		[inline]

Definition at line 210 of file step-fsi.cc.

template<int dim>

Tensor<2,dim> ALETransformations::get_grad_v	(	unsigned int	q,
		std::vector< std::vector< Tensor< 1, dim > > >	old_solution_grads
	)		[inline]

Definition at line 225 of file step-fsi.cc.

template<int dim>

Tensor<2,dim> ALETransformations::get_grad_v_T

(

const Tensor< 2, dim >

tensor_grad_v

)

[inline]

Definition at line 240 of file step-fsi.cc.

template<int dim>

Tensor<2,dim> ALETransformations::get_grad_v_LinV

(

const Tensor< 2, dim >

phi_i_grads_v

)

[inline]

Definition at line 251 of file step-fsi.cc.

template<int dim>

Tensor<2,dim> ALETransformations::get_Identity

(

)

[inline]

Definition at line 265 of file step-fsi.cc.

template<int dim>

Tensor<2,dim> ALETransformations::get_F	(	unsigned int	q,
		std::vector< std::vector< Tensor< 1, dim > > >	old_solution_grads
	)		[inline]

Definition at line 279 of file step-fsi.cc.

template<int dim>

Tensor<2,dim> ALETransformations::get_F_T

(

const Tensor< 2, dim >

F

)

[inline]

Definition at line 293 of file step-fsi.cc.

template<int dim>

Tensor<2,dim> ALETransformations::get_F_Inverse

(

const Tensor< 2, dim >

F

)

[inline]

Definition at line 301 of file step-fsi.cc.

template<int dim>

Tensor<2,dim> ALETransformations::get_F_Inverse_T

(

const Tensor< 2, dim >

F_Inverse

)

[inline]

Definition at line 309 of file step-fsi.cc.

template<int dim>

double ALETransformations::get_J

(

const Tensor< 2, dim >

tensor_F

)

[inline]

Definition at line 317 of file step-fsi.cc.

template<int dim>

Tensor<1,dim> ALETransformations::get_v	(	unsigned int	q,
		std::vector< Vector< double > >	old_solution_values
	)		[inline]

Definition at line 326 of file step-fsi.cc.

template<int dim>

Tensor<1,dim> ALETransformations::get_v_LinV

(

const Tensor< 1, dim >

phi_i_v

)

[inline]

Definition at line 339 of file step-fsi.cc.

template<int dim>

Tensor<1,dim> ALETransformations::get_u	(	unsigned int	q,
		std::vector< Vector< double > >	old_solution_values
	)		[inline]

Definition at line 351 of file step-fsi.cc.

template<int dim>

Tensor<1,dim> ALETransformations::get_u_LinU

(

const Tensor< 1, dim >

phi_i_u

)

[inline]

Definition at line 364 of file step-fsi.cc.

template<int dim>

Tensor<1,dim> ALETransformations::get_w	(	unsigned int	q,
		std::vector< Vector< double > >	old_solution_values
	)		[inline]

Definition at line 376 of file step-fsi.cc.

template<int dim>

Tensor<2,dim> ALETransformations::get_grad_w	(	unsigned int	q,
		std::vector< std::vector< Tensor< 1, dim > > >	old_solution_grads
	)		[inline]

Definition at line 389 of file step-fsi.cc.

template<int dim>

double ALETransformations::get_J_LinU	(	unsigned int	q,
		const std::vector< std::vector< Tensor< 1, dim > > >	old_solution_grads,
		const Tensor< 2, dim >	phi_i_grads_u
	)		[inline]

Definition at line 407 of file step-fsi.cc.

template<int dim>

double ALETransformations::get_J_Inverse_LinU	(	const double	J,
		const double	J_LinU
	)		[inline]

Definition at line 420 of file step-fsi.cc.

template<int dim>

Tensor<2,dim> ALETransformations::get_F_LinU

(

const Tensor< 2, dim >

phi_i_grads_u

)

[inline]

Definition at line 429 of file step-fsi.cc.

template<int dim>

Tensor<2,dim> ALETransformations::get_F_Inverse_LinU	(	const Tensor< 2, dim >	phi_i_grads_u,
		const double	J,
		const double	J_LinU,
		unsigned int	q,
		std::vector< std::vector< Tensor< 1, dim > > >	old_solution_grads
	)		[inline]

Definition at line 443 of file step-fsi.cc.

Referenced by FSIALEProblem< dim >::assemble_system_matrix().

template<int dim>

Tensor<2,dim> ALETransformations::get_J_F_Inverse_T_LinU

(

const Tensor< 2, dim >

phi_i_grads_u

)

[inline]

Definition at line 470 of file step-fsi.cc.

template<int dim>

double ALETransformations::get_tr_C_LinU	(	unsigned int	q,
		const std::vector< std::vector< Tensor< 1, dim > > >	old_solution_grads,
		const Tensor< 2, dim >	phi_i_grads_u
	)		[inline]

Definition at line 485 of file step-fsi.cc.