HybridADRSolver::Problems::ADRProblem< dim > Class Template Reference

Concrete implementation of a steady-state Advection-Diffusion-Reaction problem. More...

#include <problem_definition.h>

Inheritance diagram for HybridADRSolver::Problems::ADRProblem< dim >:

Collaboration diagram for HybridADRSolver::Problems::ADRProblem< dim >:

Public Member Functions
	ADRProblem ()
double	diffusion_coefficient (const Point< dim > &) const override
	Constant diffusion coefficient \( \mu = 1.0 \).
double	reaction_coefficient (const Point< dim > &) const override
	Constant reaction coefficient \( \gamma = 0.1 \).
Tensor< 1, dim >	advection_field (const Point< dim > &p) const override
	Rotational advection field. 2D: \( \beta = (-y, x)^T \) 3D: \( \beta = (-y, x, 0.1)^T \).
double	source_term (const Point< dim > &p) const override
	Computes the source term \( f \) using the Method of Manufactured Solutions.
std::set< types::boundary_id >	get_dirichlet_ids () const override
	Defines Dirichlet boundaries. All boundaries except Right (ID 1) are Dirichlet (0, 2, 3, 4, 5).
std::set< types::boundary_id >	get_neumann_ids () const override
	Defines Neumann boundaries. Only the Right boundary (ID 1) is Neumann.
const Function< dim > &	get_dirichlet_function (types::boundary_id) const override
	Returns zero function for Dirichlet BCs.
const Function< dim > &	get_neumann_function (const types::boundary_id id) const override
	Returns analytic flux for Neumann BCs.
bool	has_exact_solution () const override
	Checks if an analytical exact solution is available.
const Function< dim > &	get_exact_solution () const override
	Returns the exact solution function object (if available).
bool	is_symmetric () const override
	Problem is non-symmetric due to advection term.
std::string	get_name () const override
	Returns a descriptive name of the problem.
Public Member Functions inherited from HybridADRSolver::ProblemInterface< dim >
virtual	~ProblemInterface ()=default

Detailed Description

template<int dim>
class HybridADRSolver::Problems::ADRProblem< dim >

Concrete implementation of a steady-state Advection-Diffusion-Reaction problem.

Solves: \( -\mu \Delta u + \mathbf{\beta} \cdot \nabla u + \gamma u = f \)

Domain: Unit Hypercube \( [0,1]^d \). BCs: Neumann on Right face (ID 1), Homogeneous Dirichlet elsewhere.

Constructor & Destructor Documentation

ADRProblem()

template<int dim>

HybridADRSolver::Problems::ADRProblem< dim >::ADRProblem ( )

inline

Member Function Documentation

advection_field()

template<int dim>

Tensor< 1, dim > HybridADRSolver::Problems::ADRProblem< dim >::advection_field ( const Point< dim > & p ) const

inlineoverridevirtual

Rotational advection field. 2D: \( \beta = (-y, x)^T \) 3D: \( \beta = (-y, x, 0.1)^T \).

Implements HybridADRSolver::ProblemInterface< dim >.

diffusion_coefficient()

template<int dim>

double HybridADRSolver::Problems::ADRProblem< dim >::diffusion_coefficient ( const Point< dim > & ) const

inlineoverridevirtual

Constant diffusion coefficient \( \mu = 1.0 \).

Implements HybridADRSolver::ProblemInterface< dim >.

get_dirichlet_function()

template<int dim>

const Function< dim > & HybridADRSolver::Problems::ADRProblem< dim >::get_dirichlet_function ( types::boundary_id ) const

inlineoverridevirtual

Returns zero function for Dirichlet BCs.

Implements HybridADRSolver::ProblemInterface< dim >.

get_dirichlet_ids()

template<int dim>

std::set< types::boundary_id > HybridADRSolver::Problems::ADRProblem< dim >::get_dirichlet_ids ( ) const

inlinenodiscardoverridevirtual

Defines Dirichlet boundaries. All boundaries except Right (ID 1) are Dirichlet (0, 2, 3, 4, 5).

Implements HybridADRSolver::ProblemInterface< dim >.

get_exact_solution()

template<int dim>

const Function< dim > & HybridADRSolver::Problems::ADRProblem< dim >::get_exact_solution ( ) const

inlineoverridevirtual

Returns the exact solution function object (if available).

Implements HybridADRSolver::ProblemInterface< dim >.

get_name()

template<int dim>

std::string HybridADRSolver::Problems::ADRProblem< dim >::get_name ( ) const

inlinenodiscardoverridevirtual

Returns a descriptive name of the problem.

Implements HybridADRSolver::ProblemInterface< dim >.

get_neumann_function()

template<int dim>

const Function< dim > & HybridADRSolver::Problems::ADRProblem< dim >::get_neumann_function ( const types::boundary_id id ) const

inlineoverridevirtual

Returns analytic flux for Neumann BCs.

Implements HybridADRSolver::ProblemInterface< dim >.

get_neumann_ids()

template<int dim>

std::set< types::boundary_id > HybridADRSolver::Problems::ADRProblem< dim >::get_neumann_ids ( ) const

inlinenodiscardoverridevirtual

Defines Neumann boundaries. Only the Right boundary (ID 1) is Neumann.

Implements HybridADRSolver::ProblemInterface< dim >.

has_exact_solution()

template<int dim>

bool HybridADRSolver::Problems::ADRProblem< dim >::has_exact_solution ( ) const

inlinenodiscardoverridevirtual

Checks if an analytical exact solution is available.

Implements HybridADRSolver::ProblemInterface< dim >.

is_symmetric()

template<int dim>

bool HybridADRSolver::Problems::ADRProblem< dim >::is_symmetric ( ) const

inlinenodiscardoverridevirtual

Problem is non-symmetric due to advection term.

Implements HybridADRSolver::ProblemInterface< dim >.

reaction_coefficient()

template<int dim>

double HybridADRSolver::Problems::ADRProblem< dim >::reaction_coefficient ( const Point< dim > & ) const

inlineoverridevirtual

Constant reaction coefficient \( \gamma = 0.1 \).

Implements HybridADRSolver::ProblemInterface< dim >.

source_term()

template<int dim>

double HybridADRSolver::Problems::ADRProblem< dim >::source_term ( const Point< dim > & p ) const

inlineoverridevirtual

Computes the source term \( f \) using the Method of Manufactured Solutions.

\( f = -\mu \Delta u + \mathbf{\beta} \cdot \nabla u + \gamma u \)

where \( u \) is the ExactSolution.

Implements HybridADRSolver::ProblemInterface< dim >.

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

• src/include/core/problem_definition.h