The Euler-Poisson Equations

Collaboration diagram for The Euler-Poisson Equations:

Classes
class	ryujin::ElectrostaticConfiguration< dim, Number >
class	ryujin::ElectrostaticConfigurations::Constant< dim, Number >
class	ryujin::ElectrostaticConfigurations::Function< dim, Number >
class	ryujin::LaplaceOperator< dim, Number >
class	ryujin::UpdateOperator< dim, Number >
class	ryujin::MGTransfer< dim, Number >
class	ryujin::MGSmoother< dim, Number >
struct	ryujin::EulerPoisson::ParabolicDescription
class	ryujin::EulerPoisson::ParabolicModule< HyperbolicDescription, dim, Number >
class	ryujin::EulerPoisson::ParabolicSystem

Typedefs
template<int dim, typename Number = double>
using	ryujin::ElectrostaticConfigurationLibrary = Library< ElectrostaticConfiguration< dim, Number >, const std::string & >

Enumerations
enum	ryujin::EulerPoisson::GaussLawRestartStrategy : dealii::types::boundary_id {   ryujin::EulerPoisson::no_restart , ryujin::EulerPoisson::full_restart , ryujin::EulerPoisson::correction , ryujin::EulerPoisson::static_no_restart ,   ryujin::EulerPoisson::static_full_restart }

Detailed Description

This module contains classes and functions related to solving the compressible Euler equations coupled to a Poisson problem for the electrostatic potential (include/ryujin/euler_poisson).

Typedef Documentation

ElectrostaticConfigurationLibrary

template<int dim, typename Number = double>

using ryujin::ElectrostaticConfigurationLibrary = typedef Library<ElectrostaticConfiguration<dim, Number>, const std::string &>

The library of electrostatic configurations: a registry of all electrostatic configurations that the EulerPoisson::ParabolicModule can select by name. The built-in configurations of the namespace ElectrostaticConfigurations are registered by default.

Definition at line 26 of file electrostatic_configuration_library.h.

Enumeration Type Documentation

GaussLawRestartStrategy

enum ryujin::EulerPoisson::GaussLawRestartStrategy : dealii::types::boundary_id

Controls the chosen Gauss law restart strategy.

Enumerator
no_restart	Initialize the potential by solving \[ -\Delta \varphi = \alpha (\rho + \rho_b) \] once at the first timestep. Then, solve \[ -\partial_t \Delta \varphi = - \alpha \nabla \cdot \boldsymbol m + \partial_t \rho_b \] at each parabolic substep. Do not restart the Gauss law. This is the default strategy.
full_restart	Initialize the potential by solving \[ -\Delta \varphi = \alpha (\rho + \rho_b) \] once at the first timestep. Then, solve \[ -\partial_t \Delta \varphi = - \alpha \nabla \cdot \boldsymbol m + \partial_t \rho_b \] at each parabolic substep. Finally, at the beginning of each subsequent time step, restart the Gauss law at the beginning of each time step by solving again \[ -\Delta \varphi = \alpha (\rho + \rho_b). \]
correction	Solve \[ -\partial_t \Delta \varphi = -\alpha \nabla \cdot \boldsymbol m + \partial_t \rho_b \] at each parabolic substep. Then, correct the Gauss law violation by artificially relaxing the kinetic energy. FIXME documentation
static_no_restart	Initialize the potential by solving \[ -\Delta \varphi = \alpha (\rho + \rho_b) \] once at the first timestep. Afterwards, do not update the potential any more.
static_full_restart	Solve \[ -\Delta \varphi = \alpha (\rho + \rho_b) \] at the beginning of each timestep. Do not update the potential during a parabolic substep.

Definition at line 35 of file parabolic_module.h.