Transport with dispersion implemented using discontinuous Galerkin method. More...

#include <transport_dg.hh>

Inheritance diagram for TransportDG< Model >:

Collaboration diagram for TransportDG< Model >:

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Classes
class	EqData

Public Types
enum	DGVariant { non_symmetric = -1, incomplete = 0, symmetric = 1 }

template<unsigned int dim>
using	MassAssemblyDim = MassAssemblyDG< dim, Model >

template<unsigned int dim>
using	StiffnessAssemblyDim = StiffnessAssemblyDG< dim, Model >

template<unsigned int dim>
using	SourcesAssemblyDim = SourcesAssemblyDG< dim, Model >

template<unsigned int dim>
using	BdrConditionAssemblyDim = BdrConditionAssemblyDG< dim, Model >

template<unsigned int dim>
using	InitConditionAssemblyDim = InitConditionAssemblyDG< dim, Model >

Public Types inherited from Model< spacedim, Value >
typedef FieldAlgorithmBase< spacedim, Value >	FieldBaseType

typedef std::shared_ptr< FieldBaseType >	FieldBasePtr

Public Member Functions
	TransportDG (Mesh &init_mesh, const Input::Record in_rec)
	Constructor. More...

void	zero_time_step () override
	Initialize solution in the zero time. More...

bool	evaluate_time_constraint (double &)

void	update_solution () override
	Computes the solution in one time instant. More...

void	output_data ()
	Postprocesses the solution and writes to output file. More...

	~TransportDG ()
	Destructor. More...

void	initialize () override

void	calculate_cumulative_balance ()

const Vec &	get_solution (unsigned int sbi)

double **	get_concentration_matrix ()

void	calculate_concentration_matrix ()

void	update_after_reactions (bool solution_changed)

void	get_par_info (LongIdx &el_4_loc, Distribution &el_ds)

LongIdx *	get_row_4_el ()

std::shared_ptr< Balance >	balance () const
	Access to balance object of Model. More...

const vector< unsigned int >	subst_idx () const
	Return vector of substances indices. More...

Static Public Member Functions
static const Input::Type::Record &	get_input_type ()
	Declare input record type for the equation TransportDG. More...

static const Input::Type::Selection &	get_dg_variant_selection_input_type ()
	Input type for the DG variant selection. More...

Static Public Member Functions inherited from Model< spacedim, Value >
template<typename Fn , class... InputFields>
static auto	create (Fn *fn, InputFields &&...inputs) -> decltype(auto)

template<typename Function , typename Tuple , size_t... I>
static auto	call_create (Function f, Tuple t, std::index_sequence< I... >)

template<typename Fn , class... InputFields>
static auto	create_multi (Fn *fn, InputFields &&...inputs) -> decltype(auto)

Private Member Functions
Model::ModelEqData &	data ()

void	preallocate ()

void	set_initial_condition ()
	Calculates the dispersivity (diffusivity) tensor from the velocity field. More...

void	output_region_statistics ()

Private Attributes
Physical parameters
std::shared_ptr< EqData >	data_
	Field data for model parameters. More...

Solution of algebraic system
std::vector< Vec >	rhs
	Vector of right hand side. More...

std::vector< Mat >	stiffness_matrix
	The stiffness matrix. More...

std::vector< Mat >	mass_matrix
	The mass matrix. More...

std::vector< Vec >	mass_vec
	Mass from previous time instant (necessary when coefficients of mass matrix change in time). More...

double **	solution_elem_
	Element averages of solution (the array is passed to reactions in operator splitting). More...

Output to file
vector< VectorMPI >	output_vec
	Array for storing the output solution data. More...

Input::Record	input_rec
	Record with input specification. More...

ofstream	reg_stat_stream

Auxiliary fields used during assembly
vector< double >	ret_sources
	Temporary values of increments due to retardation (e.g. sorption) More...

vector< double >	ret_sources_prev

Other
bool	allocation_done
	Indicates whether matrices have been preallocated. More...

Static Private Attributes
static const int	registrar
	Registrar of class to factory. More...

Detailed Description

template<class Model>
class TransportDG< Model >

Transport with dispersion implemented using discontinuous Galerkin method.

TransportDG implements the discontinuous Galerkin method for the transport and diffusion of substances. The concentration $ c_i ~[kg/m^3]$ of the i-th substance is governed by the advection-diffusion equation

$\partial_t c_i + \mathbf v\cdot\nabla c_i - \mathrm{div}(D\nabla c_i) = F \mbox{ in }\Omega^d,$

where $\mathbf v$ is the fluid velocity and $\Omega^d$ the $d$ -dimensional domain, respectively. The hydrodynamic dispersivity tensor $\mathbf D ~[m^2/s]$ is given by:

$\mathbf D = D_m\mathbf I + |\mathbf v|\left(\alpha_T\mathbf I + (\alpha_L-\alpha_T)\frac{\mathbf v\otimes\mathbf v}{|\mathbf v|^2}\right).$

The molecular dispersivity $D_m~[m^2/s]$ , as well as the longitudal and transversal dispersivity $\alpha_L,~\alpha_T~[m]$ are input parameters of the model.

For lower dimensions $d=1,2$ the advection-diffusion equation is multiplied by the fracture cross-cut $\delta^d~[m^{3-d}]$ .

The boundary $\partial\Omega^d$ is divided into three disjoint parts $\Gamma^d_D\cup\Gamma^d_N\cup\Gamma^d_F$ . We prescribe the following boundary conditions:

$\begin{eqnarray*} c_i^d &= c_{iD}^d &\mbox{ on }\Gamma^d_D \mbox{ (Dirichlet)},\\ \mathbf D^d\nabla c_i^d\cdot\mathbf n &= 0 &\mbox{ on }\Gamma^d_N \mbox{ (Neumann)}, \end{eqnarray*}$

The transfer of mass through fractures is described by the transmission conditions on $\Gamma^d_F$ :

$-\mathbf D^d\nabla c_i^d\cdot\mathbf n = \sigma(c_i^d-c_i^{d-1}) + \left\{\begin{array}{cl}0 &\mbox{ if }\mathbf v^d\cdot\mathbf n\ge 0\\\mathbf v^d\cdot\mathbf n(c_i^{d-1}-c_i^d) & \mbox{ if }\mathbf v^d\cdot\mathbf n<0\end{array}\right.,\qquad F^{d-1} = (\sigma + |\mathbf v^d\cdot\mathbf n|)(c_i^d-c_i^{d-1}).$

Here $\mathbf n$ stands for the unit outward normal vector to $\partial\Omega^d$ . The coefficient $\sigma$ determines the transfer of mass through fractures due to diffusion.

Definition at line 131 of file transport_dg.hh.

Member Typedef Documentation

template<class Model>

template<unsigned int dim>

using TransportDG< Model >::BdrConditionAssemblyDim = BdrConditionAssemblyDG<dim, Model>

Definition at line 138 of file transport_dg.hh.

template<class Model>

template<unsigned int dim>

using TransportDG< Model >::InitConditionAssemblyDim = InitConditionAssemblyDG<dim, Model>

Definition at line 139 of file transport_dg.hh.

template<class Model>

template<unsigned int dim>

using TransportDG< Model >::MassAssemblyDim = MassAssemblyDG<dim, Model>

Definition at line 135 of file transport_dg.hh.

template<class Model>

template<unsigned int dim>

using TransportDG< Model >::SourcesAssemblyDim = SourcesAssemblyDG<dim, Model>

Definition at line 137 of file transport_dg.hh.

template<class Model>

template<unsigned int dim>

using TransportDG< Model >::StiffnessAssemblyDim = StiffnessAssemblyDG<dim, Model>

Definition at line 136 of file transport_dg.hh.

Member Enumeration Documentation

template<class Model>

enum TransportDG::DGVariant

Enumerator
non_symmetric
incomplete
symmetric

Definition at line 232 of file transport_dg.hh.

Constructor & Destructor Documentation

template<class Model >

TransportDG< Model >::TransportDG	(	Mesh &	init_mesh,
		const Input::Record	in_rec
	)

Constructor.

Parameters

init_mesh	computational mesh
in_rec	input record

Definition at line 198 of file transport_dg.cc.

template<class Model >

TransportDG< Model >::~TransportDG ( )

Destructor.

Definition at line 349 of file transport_dg.cc.

Member Function Documentation

template<class Model>

std::shared_ptr<Balance> TransportDG< Model >::balance ( ) const

inline

Access to balance object of Model.

Definition at line 302 of file transport_dg.hh.

template<class Model >

void TransportDG< Model >::calculate_concentration_matrix ( )

Definition at line 604 of file transport_dg.cc.

template<class Model >

void TransportDG< Model >::calculate_cumulative_balance ( )

Definition at line 655 of file transport_dg.cc.

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template<class Model>

Model::ModelEqData& TransportDG< Model >::data ( )

inlineprivate

Definition at line 318 of file transport_dg.hh.

template<class Model>

bool TransportDG< Model >::evaluate_time_constraint ( double & )

inline

Definition at line 265 of file transport_dg.hh.

template<class Model>

double** TransportDG< Model >::get_concentration_matrix ( )

inline

Definition at line 290 of file transport_dg.hh.

template<class Model >

const Selection & TransportDG< Model >::get_dg_variant_selection_input_type ( )

static

Input type for the DG variant selection.

Definition at line 52 of file transport_dg.cc.

template<class Model >

const Record & TransportDG< Model >::get_input_type ( )

static

Declare input record type for the equation TransportDG.

Definition at line 78 of file transport_dg.cc.

template<class Model >

void TransportDG< Model >::get_par_info	(	LongIdx *&	el_4_loc,
		Distribution *&	el_ds
	)

Definition at line 697 of file transport_dg.cc.

template<class Model >

LongIdx * TransportDG< Model >::get_row_4_el ( )

Definition at line 734 of file transport_dg.cc.

template<class Model>

const Vec& TransportDG< Model >::get_solution ( unsigned int sbi )

inline

Definition at line 287 of file transport_dg.hh.

template<class Model >

void TransportDG< Model >::initialize ( )

override

Definition at line 243 of file transport_dg.cc.

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template<class Model >

void TransportDG< Model >::output_data ( void )

Postprocesses the solution and writes to output file.

Definition at line 630 of file transport_dg.cc.

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template<class Model>

void TransportDG< Model >::output_region_statistics ( )

private

template<class Model >

void TransportDG< Model >::preallocate ( )

private

Definition at line 426 of file transport_dg.cc.

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template<class Model >

void TransportDG< Model >::set_initial_condition ( )

private

Calculates the dispersivity (diffusivity) tensor from the velocity field.

Parameters

K	The computed dispersivity tensor.
velocity	The velocity field (at quadrature points).
Dm	Molecular diffusivities.
alphaL	Longitudal dispersivities.
alphaT	Transversal dispersivities.
porosity	Porosities.
cross_cut	Cross-cuts of higher dimension. Sets the initial condition.

This method just calls AssemblyDG::prepare_initial_condition() for each elements.

Definition at line 676 of file transport_dg.cc.

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template<class Model>

const vector<unsigned int> TransportDG< Model >::subst_idx ( ) const

inline

Return vector of substances indices.

Definition at line 307 of file transport_dg.hh.

template<class Model >

void TransportDG< Model >::update_after_reactions ( bool solution_changed )

Definition at line 705 of file transport_dg.cc.

template<class Model >

void TransportDG< Model >::update_solution ( void )

override

Computes the solution in one time instant.

Definition at line 465 of file transport_dg.cc.

template<class Model >

void TransportDG< Model >::zero_time_step ( )

override

Initialize solution in the zero time.

Definition at line 393 of file transport_dg.cc.

Member Data Documentation

template<class Model>

bool TransportDG< Model >::allocation_done

private

Indicates whether matrices have been preallocated.

Definition at line 414 of file transport_dg.hh.

template<class Model>

std::shared_ptr<EqData> TransportDG< Model >::data_

private

Field data for model parameters.

Definition at line 354 of file transport_dg.hh.

template<class Model>

Input::Record TransportDG< Model >::input_rec

private

Record with input specification.

Definition at line 391 of file transport_dg.hh.

template<class Model>

std::vector<Mat> TransportDG< Model >::mass_matrix

private

The mass matrix.

Definition at line 370 of file transport_dg.hh.

template<class Model>

std::vector<Vec> TransportDG< Model >::mass_vec

private

Mass from previous time instant (necessary when coefficients of mass matrix change in time).

Definition at line 373 of file transport_dg.hh.

template<class Model>

vector<VectorMPI> TransportDG< Model >::output_vec

private

Array for storing the output solution data.

Vector of solution data.

Definition at line 388 of file transport_dg.hh.

template<class Model>

ofstream TransportDG< Model >::reg_stat_stream

private

Definition at line 393 of file transport_dg.hh.

template<class Model>

const int TransportDG< Model >::registrar

staticprivate

Initial value:

=
        Input::register_class< TransportDG<Model>, Mesh &, const Input::Record>(std::string(Model::ModelEqData::name()) + "_DG") +
        TransportDG<Model>::get_input_type().size()

Registrar of class to factory.

Definition at line 316 of file transport_dg.hh.

template<class Model>

vector<double> TransportDG< Model >::ret_sources

private

Temporary values of increments due to retardation (e.g. sorption)

Definition at line 403 of file transport_dg.hh.

template<class Model>

vector<double> TransportDG< Model >::ret_sources_prev

private

Definition at line 403 of file transport_dg.hh.

template<class Model>

std::vector<Vec> TransportDG< Model >::rhs

private

Vector of right hand side.

Definition at line 364 of file transport_dg.hh.

template<class Model>

double** TransportDG< Model >::solution_elem_

private

Element averages of solution (the array is passed to reactions in operator splitting).

Definition at line 376 of file transport_dg.hh.

template<class Model>

std::vector<Mat> TransportDG< Model >::stiffness_matrix

private

The stiffness matrix.

Definition at line 367 of file transport_dg.hh.

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

/opt/flow123d/flow123d/src/transport/transport_dg.hh
/opt/flow123d/flow123d/src/transport/transport_dg.cc

Classes

Public Types

Public Member Functions

Static Public Member Functions

Private Member Functions

Private Attributes

Static Private Attributes

Detailed Description

template<class Model> class TransportDG< Model >

Member Typedef Documentation

Member Enumeration Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<class Model>
class TransportDG< Model >