Mixed-hybrid model of linear Darcy flow, possibly unsteady. More...

#include <darcy_flow_lmh.hh>

Inheritance diagram for DarcyLMH:

Collaboration diagram for DarcyLMH:

[legend]

Classes
class	EqData

Public Member Functions
	TYPEDEF_ERR_INFO (EI_Reason, string)

	DECLARE_EXCEPTION (ExcSolverDiverge,<< "Diverged nonlinear solver. Reason: "<< EI_Reason::val)

	DECLARE_INPUT_EXCEPTION (ExcMissingTimeGovernor,<< "Missing the key 'time', obligatory for the transient problems.")

	DarcyLMH (Mesh &mesh, const Input::Record in_rec, TimeGovernor *tm=nullptr)
	CREATE AND FILL GLOBAL MH MATRIX OF THE WATER MODEL. More...

double	last_t () override
	Return last time of TimeGovernor. More...

std::shared_ptr< FieldFE< 3, FieldValue< 3 >::VectorFixed > >	get_velocity_field () override

void	init_eq_data ()

void	initialize () override

virtual void	initialize_specific ()

void	zero_time_step () override

void	update_solution () override

void	solve_time_step (bool output=true)
	Solve the problem without moving to next time and without output. More...

virtual void	accept_time_step ()
	postprocess velocity field (add sources) More...

virtual void	postprocess ()

virtual void	output_data () override
	Write computed fields. More...

EqData &	data ()

void	set_extra_storativity (const Field< 3, FieldValue< 3 >::Scalar > &extra_stor)
	Sets external storarivity field (coupling with other equation). More...

void	set_extra_source (const Field< 3, FieldValue< 3 >::Scalar > &extra_src)
	Sets external source field (coupling with other equation). More...

virtual	~DarcyLMH () override

Public Member Functions inherited from DarcyFlowInterface
	DarcyFlowInterface (Mesh &mesh, const Input::Record in_rec)

virtual	~DarcyFlowInterface ()

Public Member Functions inherited from EquationBase
	EquationBase ()

	EquationBase (Mesh &mesh, const Input::Record in_rec)

virtual	~EquationBase ()

virtual void	choose_next_time ()

virtual void	set_time_upper_constraint (double dt, std::string message)

virtual void	set_time_lower_constraint (double dt, std::string message)

TimeGovernor &	time ()

virtual void	set_time_governor (TimeGovernor &time)

double	planned_time ()

double	solved_time ()

Mesh &	mesh ()

std::shared_ptr< Balance >	balance () const

TimeMark::Type	mark_type ()

FieldSet &	data ()

Static Public Member Functions
static const Input::Type::Selection &	get_mh_mortar_selection ()
	Selection for enum MortarMethod. More...

static const Input::Type::Record &	type_field_descriptor ()

static const Input::Type::Record &	get_input_type ()

Static Public Member Functions inherited from DarcyFlowInterface
static Input::Type::Abstract &	get_input_type ()

Static Public Member Functions inherited from EquationBase
static Input::Type::Record &	record_template ()
	Template Record with common keys for derived equations. More...

Protected Member Functions
virtual bool	zero_time_term (bool time_global=false)

void	solve_nonlinear ()
	Solve method common to zero_time_step and update solution. More...

void	create_linear_system (Input::AbstractRecord rec)

void	read_initial_condition ()

virtual void	initial_condition_postprocess ()

void	allocate_mh_matrix ()

void	assembly_mh_matrix (MultidimAssembly &assembler)

void	reconstruct_solution_from_schur (MultidimAssembly &assembler)

virtual void	assembly_linear_system ()

virtual double	solution_precision () const

void	print_matlab_matrix (string matlab_file)
	Print darcy flow matrix in matlab format into a file. More...

std::vector< int >	get_component_indices_vec (unsigned int component) const
	Get vector of all DOF indices of given component (0..side, 1..element, 2..edge) More...

LinSys &	lin_sys_schur ()
	Getter for the linear system of the 2. Schur complement. More...

Protected Attributes
std::shared_ptr< Balance >	balance_

DarcyFlowMHOutput *	output_object

int	size

bool	data_changed_

double	tolerance_

unsigned int	min_n_it_

unsigned int	max_n_it_

unsigned int	nonlinear_iteration_

std::shared_ptr< FieldFE< 3, FieldValue< 3 >::VectorFixed > >	ele_flux_ptr
	Field of flux in barycenter of every element. More...

std::shared_ptr< EqData >	data_

Protected Attributes inherited from EquationBase
bool	equation_empty_
	flag is true if only default constructor was called More...

Mesh *	mesh_

TimeGovernor *	time_

Input::Record	input_record_

FieldSet *	eq_data_

std::shared_ptr< Balance >	balance_
	object for calculation and writing the mass balance to file. More...

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

Friends
class	DarcyFlowMHOutput

Additional Inherited Members
Public Types inherited from DarcyFlowInterface
enum	MortarMethod { NoMortar = 0, MortarP0 = 1, MortarP1 = 2 }
	Type of experimental Mortar-like method for non-compatible 1d-2d interaction. More...

typedef DarcyFlowInterface	FactoryBaseType
	Typedef for usage of Input::Factory in child classes. More...

Detailed Description

Mixed-hybrid model of linear Darcy flow, possibly unsteady.

Abstract class for various implementations of Darcy flow. In future there should be one further level of abstraction for general time dependent problem.

maybe TODO: split compute_one_step to : 1) prepare_next_timestep 2) actualize_solution - this is for iterative nonlinear solvers Mixed-hybrid of steady Darcy flow with sources and variable density.

solve equations:

$q= -{\mathbf{K}} \nabla h -{\mathbf{K}} R \nabla z$

$\mathrm{div} q = f$

where

is flux $[ms^{-1}]$ for 3d, $[m^2s^{-1}]$ for 2d and $[m^3s^{-1}]$ for 1d.
$\mathbf{K}$ is hydraulic tensor ( its orientation for 2d, 1d case is questionable )
$h = \frac{\pi}{\rho_0 g}+z$ is pressure head, $\pi, \rho_0, g$ are the pressure, water density, and acceleration of gravity , respectively. Assumes gravity force acts counter to the direction of the axis.
is destity or gravity variability coefficient. For density driven flow it should be
$R = \frac{\rho}{\rho_0} -1 = \rho_0^{-1}\sum_{i=1}^s c_i$
where is concentration in $kg m^{-3}$ .

The time key is optional, when not specified the equation is forced to steady regime. Using Steady TimeGovernor which have no dt constraints.

TODO: Make solution regular field (need FeSeystem and parallel DofHandler for edge pressures), then remove get_solution_vector from Equation interface. Model for transition coefficients due to Martin, Jaffre, Roberts (see manual for full reference)

TODO:

how we can reuse field values computed during assembly

Definition at line 132 of file darcy_flow_lmh.hh.

Constructor & Destructor Documentation

DarcyLMH::DarcyLMH	(	Mesh &	mesh_in,
		const Input::Record	in_rec,
		TimeGovernor *	tm = `nullptr`
	)

CREATE AND FILL GLOBAL MH MATRIX OF THE WATER MODEL.

Parameters {Solver,NSchurs} number of performed Schur complements (0,1,2) for water flow MH-system

Definition at line 175 of file darcy_flow_lmh.cc.

DarcyLMH::~DarcyLMH ( )

overridevirtual

We need:

local to global element map (possibly mesh->el_4_loc
inet, nnet - local dof numbers per element, local numbering of only those dofs that are on owned elements
1. collect DH local dof indices on elements, manage map from DH local indices to BDDC local dof indices
2. map collected DH indices to BDDC indices using the map
local BDDC dofs to global dofs, use DH to BDDC map with DH local to global map
XYZ - permuted, collect in main loop into array of size of all DH local dofs, compress and rearrange latter
element_permeability - in main loop

Definition at line 1295 of file darcy_flow_lmh.cc.

Member Function Documentation

void DarcyLMH::accept_time_step ( )

virtual

postprocess velocity field (add sources)

Reimplemented in RichardsLMH.

Definition at line 639 of file darcy_flow_lmh.cc.

Here is the caller graph for this function:

void DarcyLMH::allocate_mh_matrix ( )

protected

Allocates linear system matrix for MH. TODO:

use general preallocation methods in DofHandler

Definition at line 702 of file darcy_flow_lmh.cc.

Here is the caller graph for this function:

void DarcyLMH::assembly_linear_system ( )

protectedvirtual

Assembly or update whole linear system.

Reimplemented in RichardsLMH.

Definition at line 1017 of file darcy_flow_lmh.cc.

Here is the caller graph for this function:

void DarcyLMH::assembly_mh_matrix ( MultidimAssembly & assembler )

protected

Assembles linear system matrix for MH. Element by element assembly is done using dim-template assembly class. Assembles only steady part of the equation. TODO:

include time term - DONE
add support for Robin type sources
support for nonlinear solvers - assembly either residual vector, matrix, or both (using FADBAD++)

Definition at line 675 of file darcy_flow_lmh.cc.

Here is the caller graph for this function:

void DarcyLMH::create_linear_system ( Input::AbstractRecord rec )

protected

Create and preallocate MH linear system (including matrix, rhs and solution vectors)

Definition at line 877 of file darcy_flow_lmh.cc.

Here is the caller graph for this function:

EqData& DarcyLMH::data ( )

inline

Definition at line 205 of file darcy_flow_lmh.hh.

DarcyLMH::DECLARE_EXCEPTION	(	ExcSolverDiverge	,
		<< "Diverged nonlinear solver. Reason: "<< EI_Reason::val
	)

DarcyLMH::DECLARE_INPUT_EXCEPTION	(	ExcMissingTimeGovernor	,
		<< "Missing the key 'time'	,
		obligatory for the transient problems."
	)

std::vector< int > DarcyLMH::get_component_indices_vec ( unsigned int component ) const

protected

Get vector of all DOF indices of given component (0..side, 1..element, 2..edge)

Definition at line 1309 of file darcy_flow_lmh.cc.

const it::Record & DarcyLMH::get_input_type ( )

static

Definition at line 100 of file darcy_flow_lmh.cc.

Here is the caller graph for this function:

const it::Selection & DarcyLMH::get_mh_mortar_selection ( )

static

Selection for enum MortarMethod.

Definition at line 77 of file darcy_flow_lmh.cc.

Here is the caller graph for this function:

std::shared_ptr< FieldFE< 3, FieldValue< 3 >::VectorFixed > > DarcyLMH::get_velocity_field ( )

overridevirtual

Reimplemented from DarcyFlowInterface.

Definition at line 1304 of file darcy_flow_lmh.cc.

void DarcyLMH::init_eq_data ( )

Definition at line 222 of file darcy_flow_lmh.cc.

Here is the caller graph for this function:

void DarcyLMH::initial_condition_postprocess ( )

protectedvirtual

In some circumstances, the intial condition must be processed. It is called at the end of read_initial_condition(). This is used in Richards equation due the update of water content.

Reimplemented in RichardsLMH.

Definition at line 428 of file darcy_flow_lmh.cc.

Here is the caller graph for this function:

void DarcyLMH::initialize ( )

overridevirtual

This method should initialize fields of the equation. All members (e.g. number of components) that are necessary for the field initialization must be set between construction and call of initialize. After this method the upper level coupling may set sharing of some fields between equations.

Reimplemented from EquationBase.

Definition at line 260 of file darcy_flow_lmh.cc.

void DarcyLMH::initialize_specific ( )

virtual

Reimplemented in RichardsLMH.

Definition at line 361 of file darcy_flow_lmh.cc.

Here is the caller graph for this function:

double DarcyLMH::last_t ( )

inlineoverridevirtual

Return last time of TimeGovernor.

Implements DarcyFlowInterface.

Definition at line 184 of file darcy_flow_lmh.hh.

LinSys& DarcyLMH::lin_sys_schur ( )

inlineprotected

Getter for the linear system of the 2. Schur complement.

Definition at line 291 of file darcy_flow_lmh.hh.

Here is the caller graph for this function:

void DarcyLMH::output_data ( void )

overridevirtual

Write computed fields.

Reimplemented from EquationBase.

Definition at line 647 of file darcy_flow_lmh.cc.

Here is the caller graph for this function:

void DarcyLMH::postprocess ( )

virtual

Definition at line 989 of file darcy_flow_lmh.cc.

void DarcyLMH::print_matlab_matrix ( string matlab_file )

protected

Print darcy flow matrix in matlab format into a file.

Definition at line 1054 of file darcy_flow_lmh.cc.

void DarcyLMH::read_initial_condition ( )

protected

Read initial condition into solution vector. Must be called after create_linear_system.

For the LMH scheme we have to be able to save edge pressures in order to restart simulation or use results of one simulation as initial condition for other one.

Definition at line 393 of file darcy_flow_lmh.cc.

Here is the caller graph for this function:

void DarcyLMH::reconstruct_solution_from_schur ( MultidimAssembly & assembler )

protected

Definition at line 992 of file darcy_flow_lmh.cc.

Here is the caller graph for this function:

void DarcyLMH::set_extra_source ( const Field< 3, FieldValue< 3 >::Scalar > & extra_src )

inline

Sets external source field (coupling with other equation).

Definition at line 212 of file darcy_flow_lmh.hh.

void DarcyLMH::set_extra_storativity ( const Field< 3, FieldValue< 3 >::Scalar > & extra_stor )

inline

Sets external storarivity field (coupling with other equation).

Definition at line 208 of file darcy_flow_lmh.hh.

double DarcyLMH::solution_precision ( ) const

protectedvirtual

Return a norm of residual vector. TODO: Introduce Equation::compute_residual() updating residual field, standard part of EqData.

Definition at line 663 of file darcy_flow_lmh.cc.

void DarcyLMH::solve_nonlinear ( )

protected

Solve method common to zero_time_step and update solution.

Definition at line 548 of file darcy_flow_lmh.cc.

Here is the caller graph for this function:

void DarcyLMH::solve_time_step ( bool output = true )

Solve the problem without moving to next time and without output.

Definition at line 489 of file darcy_flow_lmh.cc.

Here is the caller graph for this function:

const it::Record & DarcyLMH::type_field_descriptor ( )

static

Definition at line 85 of file darcy_flow_lmh.cc.

Here is the caller graph for this function:

DarcyLMH::TYPEDEF_ERR_INFO	(	EI_Reason	,
		string
	)

void DarcyLMH::update_solution ( void )

overridevirtual

Calculation of the next time step and its output.

Reimplemented from EquationBase.

Definition at line 478 of file darcy_flow_lmh.cc.

void DarcyLMH::zero_time_step ( )

overridevirtual

Initialization of the solution in the zero time.

There may be fields that can not be initialized in the initialize method as they are provided by the coupling. Fields coming from coupling has to be set after the initialize method and before zero_time_step.

Reimplemented from EquationBase.

Definition at line 431 of file darcy_flow_lmh.cc.

bool DarcyLMH::zero_time_term ( bool time_global = false )

protectedvirtual

Returns true is the fields involved in the time term have values that makes the time term zero. For time_global==true, it returns true if there are no field descriptors in the input list, so the fields )of the time ter) have their default values for whole simulation. If time_global==false (default), only the actual values are considered.

Reimplemented in RichardsLMH.

Definition at line 539 of file darcy_flow_lmh.cc.

Here is the caller graph for this function:

Friends And Related Function Documentation

friend class DarcyFlowMHOutput

friend

Definition at line 314 of file darcy_flow_lmh.hh.

Member Data Documentation

std::shared_ptr<Balance> DarcyLMH::balance_

protected

Definition at line 294 of file darcy_flow_lmh.hh.

std::shared_ptr<EqData> DarcyLMH::data_

protected

Definition at line 312 of file darcy_flow_lmh.hh.

bool DarcyLMH::data_changed_

protected

Definition at line 300 of file darcy_flow_lmh.hh.

std::shared_ptr<FieldFE<3, FieldValue<3>::VectorFixed> > DarcyLMH::ele_flux_ptr

protected

Field of flux in barycenter of every element.

Definition at line 310 of file darcy_flow_lmh.hh.

unsigned int DarcyLMH::max_n_it_

protected

Definition at line 305 of file darcy_flow_lmh.hh.

unsigned int DarcyLMH::min_n_it_

protected

Definition at line 304 of file darcy_flow_lmh.hh.

unsigned int DarcyLMH::nonlinear_iteration_

protected

Definition at line 306 of file darcy_flow_lmh.hh.

DarcyFlowMHOutput* DarcyLMH::output_object

protected

Definition at line 296 of file darcy_flow_lmh.hh.

const int DarcyLMH::registrar

staticprivate

Initial value:

=
        Input::register_class< DarcyLMH, Mesh &, const Input::Record >("Flow_Darcy_LMH") +
        DarcyLMH::get_input_type().size()

Registrar of class to factory.

Definition at line 320 of file darcy_flow_lmh.hh.

int DarcyLMH::size

protected

Definition at line 298 of file darcy_flow_lmh.hh.

double DarcyLMH::tolerance_

protected

Definition at line 303 of file darcy_flow_lmh.hh.

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

/opt/flow123d/flow123d/src/flow/darcy_flow_lmh.hh
/opt/flow123d/flow123d/src/flow/darcy_flow_lmh.cc

Classes

Public Member Functions

Static Public Member Functions

Protected Member Functions

Protected Attributes

Static Private Attributes

Friends

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

Member Data Documentation