4. Operators

• 4.1. Linear Acoustic Wave Equation
  • wave_operator()
• 4.2. Diffusion
  • 4.2.1. Flux functions
    • diffusion_flux()
    • grad_facial_flux_central()
    • grad_facial_flux_weighted()
    • diffusion_facial_flux_central()
    • diffusion_facial_flux_harmonic()
  • 4.2.2. RHS Evaluation
    • grad_operator()
    • diffusion_operator()
  • 4.2.3. Boundary conditions
    • DiffusionBoundary
      • DiffusionBoundary.get_grad_flux()
      • DiffusionBoundary.get_diffusion_flux()
    • DirichletDiffusionBoundary
      • DirichletDiffusionBoundary.__init__()
      • DirichletDiffusionBoundary.get_grad_flux()
      • DirichletDiffusionBoundary.get_diffusion_flux()
    • NeumannDiffusionBoundary
      • NeumannDiffusionBoundary.__init__()
      • NeumannDiffusionBoundary.get_grad_flux()
      • NeumannDiffusionBoundary.get_diffusion_flux()
    • RobinDiffusionBoundary
      • RobinDiffusionBoundary.__init__()
      • RobinDiffusionBoundary.get_grad_flux()
      • RobinDiffusionBoundary.get_diffusion_flux()
    • PrescribedFluxDiffusionBoundary
      • PrescribedFluxDiffusionBoundary.__init__()
      • PrescribedFluxDiffusionBoundary.get_grad_flux()
      • PrescribedFluxDiffusionBoundary.get_diffusion_flux()
    • DummyDiffusionBoundary
• 4.3. Artificial Viscosity
  • 4.3.1. Boundary Conditions
  • 4.3.2. Smoothness Indicator Evaluation
    • smoothness_indicator()
  • 4.3.3. AV RHS Evaluation
    • av_laplacian_operator()
• 4.4. Gas Dynamics
  • 4.4.1. Conserved Quantities Handling
    • ConservedVars
      • ConservedVars.dim
      • ConservedVars.mass
      • ConservedVars.energy
      • ConservedVars.momentum
      • ConservedVars.species_mass
      • ConservedVars.join()
      • ConservedVars.replace()
    • make_conserved()
  • 4.4.2. Helper Functions
    • velocity_gradient()
    • species_mass_fraction_gradient()
  • 4.4.3. Equations of State
    • GasDependentVars
      • GasDependentVars.temperature
      • GasDependentVars.pressure
      • GasDependentVars.speed_of_sound
      • GasDependentVars.smoothness_mu
      • GasDependentVars.smoothness_kappa
      • GasDependentVars.smoothness_beta
      • GasDependentVars.smoothness_d
    • MixtureDependentVars
    • GasEOS
      • GasEOS.pressure()
      • GasEOS.temperature()
      • GasEOS.sound_speed()
      • GasEOS.internal_energy()
      • GasEOS.gas_const()
      • GasEOS.dependent_vars()
      • GasEOS.total_energy()
      • GasEOS.kinetic_energy()
      • GasEOS.gamma()
      • GasEOS.get_internal_energy()
      • GasEOS.get_density()
    • MixtureEOS
      • MixtureEOS.get_density()
      • MixtureEOS.get_species_molecular_weights()
      • MixtureEOS.get_production_rates()
      • MixtureEOS.species_enthalpies()
      • MixtureEOS.get_species_source_terms()
      • MixtureEOS.get_temperature_seed()
    • IdealSingleGas
      • IdealSingleGas.__init__()
      • IdealSingleGas.gamma()
      • IdealSingleGas.heat_capacity_cp()
      • IdealSingleGas.heat_capacity_cv()
      • IdealSingleGas.gas_const()
      • IdealSingleGas.get_density()
      • IdealSingleGas.kinetic_energy()
      • IdealSingleGas.internal_energy()
      • IdealSingleGas.pressure()
      • IdealSingleGas.sound_speed()
      • IdealSingleGas.temperature()
      • IdealSingleGas.total_energy()
      • IdealSingleGas.get_internal_energy()
      • IdealSingleGas.dependent_vars()
    • PyrometheusMixture
      • PyrometheusMixture.__init__()
      • PyrometheusMixture.pressure()
      • PyrometheusMixture.temperature()
      • PyrometheusMixture.sound_speed()
      • PyrometheusMixture.internal_energy()
      • PyrometheusMixture.gas_const()
      • PyrometheusMixture.dependent_vars()
      • PyrometheusMixture.total_energy()
      • PyrometheusMixture.kinetic_energy()
      • PyrometheusMixture.heat_capacity_cv()
      • PyrometheusMixture.heat_capacity_cp()
      • PyrometheusMixture.gamma()
      • PyrometheusMixture.get_internal_energy()
      • PyrometheusMixture.get_density()
      • PyrometheusMixture.get_species_molecular_weights()
      • PyrometheusMixture.get_production_rates()
      • PyrometheusMixture.species_enthalpies()
      • PyrometheusMixture.get_species_source_terms()
      • PyrometheusMixture.get_temperature_seed()
      • PyrometheusMixture.mole_fractions_from_mass_fractions()
      • PyrometheusMixture.mass_fractions_from_mole_fractions()
  • 4.4.4. Exceptions
    • TemperatureSeedMissingError
    • MixtureEOSNeededError
  • 4.4.5. Transport Models
    • GasTransportVars
      • GasTransportVars.bulk_viscosity
      • GasTransportVars.viscosity
      • GasTransportVars.thermal_conductivity
      • GasTransportVars.species_diffusivity
    • TransportModel
      • TransportModel.bulk_viscosity()
      • TransportModel.viscosity()
      • TransportModel.thermal_conductivity()
      • TransportModel.species_diffusivity()
      • TransportModel.volume_viscosity()
      • TransportModel.transport_vars()
    • SimpleTransport
      • SimpleTransport.__init__()
      • SimpleTransport.bulk_viscosity()
      • SimpleTransport.viscosity()
      • SimpleTransport.volume_viscosity()
      • SimpleTransport.thermal_conductivity()
      • SimpleTransport.species_diffusivity()
    • PowerLawTransport
      • PowerLawTransport.__init__()
      • PowerLawTransport.bulk_viscosity()
      • PowerLawTransport.viscosity()
      • PowerLawTransport.volume_viscosity()
      • PowerLawTransport.thermal_conductivity()
      • PowerLawTransport.species_diffusivity()
    • MixtureAveragedTransport
      • MixtureAveragedTransport.__init__()
      • MixtureAveragedTransport.bulk_viscosity()
      • MixtureAveragedTransport.viscosity()
      • MixtureAveragedTransport.volume_viscosity()
      • MixtureAveragedTransport.thermal_conductivity()
      • MixtureAveragedTransport.species_diffusivity()
    • ArtificialViscosityTransportDiv
      • ArtificialViscosityTransportDiv.__init__()
      • ArtificialViscosityTransportDiv.bulk_viscosity()
      • ArtificialViscosityTransportDiv.viscosity()
      • ArtificialViscosityTransportDiv.volume_viscosity()
      • ArtificialViscosityTransportDiv.thermal_conductivity()
      • ArtificialViscosityTransportDiv.species_diffusivity()
    • ArtificialViscosityTransportDiv2
      • ArtificialViscosityTransportDiv2.__init__()
      • ArtificialViscosityTransportDiv2.bulk_viscosity()
      • ArtificialViscosityTransportDiv2.viscosity()
      • ArtificialViscosityTransportDiv2.volume_viscosity()
      • ArtificialViscosityTransportDiv2.thermal_conductivity()
      • ArtificialViscosityTransportDiv2.species_diffusivity()
    • ArtificialViscosityTransportDiv3
      • ArtificialViscosityTransportDiv3.__init__()
      • ArtificialViscosityTransportDiv3.bulk_viscosity()
      • ArtificialViscosityTransportDiv3.viscosity()
      • ArtificialViscosityTransportDiv3.volume_viscosity()
      • ArtificialViscosityTransportDiv3.thermal_conductivity()
      • ArtificialViscosityTransportDiv3.species_diffusivity()
  • 4.4.6. Exceptions
    • TransportModelError
  • 4.4.7. Physical Gas Model Encapsulation
    • GasModel
      • GasModel.eos
      • GasModel.transport
  • 4.4.8. Fluid State Encapsulation
    • FluidState
      • FluidState.cv
      • FluidState.dv
      • FluidState.array_context
      • FluidState.dim
      • FluidState.nspecies
      • FluidState.pressure
      • FluidState.temperature
      • FluidState.smoothness_mu
      • FluidState.smoothness_kappa
      • FluidState.smoothness_d
      • FluidState.smoothness_beta
      • FluidState.velocity
      • FluidState.speed
      • FluidState.wavespeed
      • FluidState.speed_of_sound
      • FluidState.mass_density
      • FluidState.momentum_density
      • FluidState.energy_density
      • FluidState.species_mass_density
      • FluidState.species_mass_fractions
      • FluidState.species_enthalpies
    • ViscousFluidState
      • ViscousFluidState.tv
      • ViscousFluidState.viscosity
      • ViscousFluidState.bulk_viscosity
      • ViscousFluidState.species_diffusivity
      • ViscousFluidState.thermal_conductivity
    • PorousFlowFluidState
      • PorousFlowFluidState.wv
  • 4.4.9. Fluid State Handling Utilities
    • make_fluid_state()
    • replace_fluid_state()
    • project_fluid_state()
    • make_fluid_state_trace_pairs()
    • make_operator_fluid_states()
    • make_entropy_projected_fluid_state()
    • conservative_to_entropy_vars()
    • entropy_to_conservative_vars()
  • 4.4.10. Solution Initializers
    • Vortex2D
      • Vortex2D.__init__()
      • Vortex2D.__call__()
    • SodShock1D
      • SodShock1D.__init__()
      • SodShock1D.__call__()
    • DoubleMachReflection
      • DoubleMachReflection.__init__()
      • DoubleMachReflection.__call__()
    • Lump
      • Lump.__init__()
      • Lump.__call__()
      • Lump.exact_rhs()
    • MulticomponentLump
      • MulticomponentLump.__init__()
      • MulticomponentLump.__call__()
      • MulticomponentLump.exact_rhs()
    • MulticomponentTrig
      • MulticomponentTrig.__init__()
      • MulticomponentTrig.__call__()
    • AcousticPulse
      • AcousticPulse.__init__()
      • AcousticPulse.__call__()
    • Uniform
      • Uniform.__init__()
      • Uniform.__call__()
      • Uniform.exact_rhs()
    • MixtureInitializer
      • MixtureInitializer.__init__()
      • MixtureInitializer.__call__()
    • PlanarDiscontinuity
      • PlanarDiscontinuity.__init__()
      • PlanarDiscontinuity.__call__()
    • PlanarPoiseuille
    • ShearFlow
    • InviscidTaylorGreenVortex
  • 4.4.11. State Initializers
    • initialize_flow_solution()
  • 4.4.12. Initialization Utilities
    • make_pulse()
  • 4.4.13. RHS Evaluation
    • euler_operator()
  • 4.4.14. Logging Helpers
    • units_for_logging()
    • extract_vars_for_logging()
  • 4.4.15. Inviscid Flux Calculation
    • inviscid_flux()
    • inviscid_facial_flux_rusanov()
    • inviscid_facial_flux_hll()
    • inviscid_flux_on_element_boundary()
    • entropy_conserving_flux_chandrashekar()
    • entropy_conserving_flux_renac()
    • entropy_stable_inviscid_facial_flux()
    • entropy_stable_inviscid_facial_flux_rusanov()
  • 4.4.16. Inviscid Time Step Computation
    • get_inviscid_timestep()
    • get_inviscid_cfl()
  • 4.4.17. Viscous Flux Calculation
    • viscous_flux()
    • viscous_stress_tensor()
    • diffusive_flux()
    • conductive_heat_flux()
    • diffusive_heat_flux()
    • viscous_facial_flux_central()
    • viscous_facial_flux_harmonic()
    • viscous_flux_on_element_boundary()
  • 4.4.18. Viscous Time Step Computation
    • get_viscous_timestep()
    • get_viscous_cfl()
    • get_local_max_species_diffusivity()
  • 4.4.19. RHS Evaluation
    • grad_cv_operator()
    • grad_t_operator()
    • ns_operator()
  • 4.4.20. Boundary Treatment Interfaces
    • FluidBoundary
      • FluidBoundary.inviscid_divergence_flux()
      • FluidBoundary.viscous_divergence_flux()
      • FluidBoundary.cv_gradient_flux()
      • FluidBoundary.temperature_gradient_flux()
  • 4.4.21. Boundary Conditions Base Classes
    • PrescribedFluidBoundary
      • PrescribedFluidBoundary.__init__()
      • PrescribedFluidBoundary.inviscid_divergence_flux()
      • PrescribedFluidBoundary.viscous_divergence_flux()
      • PrescribedFluidBoundary.cv_gradient_flux()
      • PrescribedFluidBoundary.temperature_gradient_flux()
    • MengaldoBoundaryCondition
      • MengaldoBoundaryCondition.inviscid_divergence_flux()
      • MengaldoBoundaryCondition.viscous_divergence_flux()
      • MengaldoBoundaryCondition.cv_gradient_flux()
      • MengaldoBoundaryCondition.temperature_gradient_flux()
      • MengaldoBoundaryCondition.state_bc()
      • MengaldoBoundaryCondition.grad_cv_bc()
      • MengaldoBoundaryCondition.temperature_bc()
      • MengaldoBoundaryCondition.grad_temperature_bc()
      • MengaldoBoundaryCondition.state_plus()
  • 4.4.22. Boundary Conditions
    • DummyBoundary
      • DummyBoundary.inviscid_divergence_flux()
      • DummyBoundary.viscous_divergence_flux()
      • DummyBoundary.cv_gradient_flux()
      • DummyBoundary.temperature_gradient_flux()
    • FarfieldBoundary
      • FarfieldBoundary.__init__()
      • FarfieldBoundary.state_plus()
      • FarfieldBoundary.state_bc()
      • FarfieldBoundary.temperature_bc()
      • FarfieldBoundary.grad_cv_bc()
      • FarfieldBoundary.grad_temperature_bc()
    • PressureOutflowBoundary
      • PressureOutflowBoundary.__init__()
      • PressureOutflowBoundary.state_plus()
      • PressureOutflowBoundary.state_bc()
      • PressureOutflowBoundary.temperature_bc()
      • PressureOutflowBoundary.grad_cv_bc()
      • PressureOutflowBoundary.grad_temperature_bc()
    • RiemannInflowBoundary
      • RiemannInflowBoundary.__init__()
      • RiemannInflowBoundary.state_plus()
      • RiemannInflowBoundary.state_bc()
      • RiemannInflowBoundary.temperature_bc()
      • RiemannInflowBoundary.grad_cv_bc()
      • RiemannInflowBoundary.grad_temperature_bc()
    • RiemannOutflowBoundary
      • RiemannOutflowBoundary.__init__()
      • RiemannOutflowBoundary.state_plus()
      • RiemannOutflowBoundary.state_bc()
      • RiemannOutflowBoundary.temperature_bc()
      • RiemannOutflowBoundary.grad_cv_bc()
      • RiemannOutflowBoundary.grad_temperature_bc()
    • IsothermalSlipWallBoundary
      • IsothermalSlipWallBoundary.__init__()
      • IsothermalSlipWallBoundary.state_bc()
      • IsothermalSlipWallBoundary.temperature_bc()
      • IsothermalSlipWallBoundary.grad_cv_bc()
      • IsothermalSlipWallBoundary.grad_temperature_bc()
      • IsothermalSlipWallBoundary.state_plus()
    • IsothermalWallBoundary
      • IsothermalWallBoundary.__init__()
      • IsothermalWallBoundary.state_bc()
      • IsothermalWallBoundary.temperature_bc()
      • IsothermalWallBoundary.grad_cv_bc()
      • IsothermalWallBoundary.grad_temperature_bc()
      • IsothermalWallBoundary.state_plus()
    • AdiabaticSlipBoundary
      • AdiabaticSlipBoundary.__init__()
      • AdiabaticSlipBoundary.state_plus()
      • AdiabaticSlipBoundary.state_bc()
      • AdiabaticSlipBoundary.temperature_bc()
      • AdiabaticSlipBoundary.grad_cv_bc()
      • AdiabaticSlipBoundary.grad_temperature_bc()
    • AdiabaticNoslipWallBoundary
      • AdiabaticNoslipWallBoundary.__init__()
      • AdiabaticNoslipWallBoundary.grad_cv_bc()
      • AdiabaticNoslipWallBoundary.temperature_bc()
      • AdiabaticNoslipWallBoundary.state_plus()
      • AdiabaticNoslipWallBoundary.state_bc()
      • AdiabaticNoslipWallBoundary.grad_temperature_bc()
    • LinearizedOutflowBoundary
      • LinearizedOutflowBoundary.__init__()
      • LinearizedOutflowBoundary.state_plus()
      • LinearizedOutflowBoundary.state_bc()
      • LinearizedOutflowBoundary.temperature_bc()
      • LinearizedOutflowBoundary.grad_cv_bc()
      • LinearizedOutflowBoundary.grad_temperature_bc()
    • LinearizedInflowBoundary
      • LinearizedInflowBoundary.__init__()
      • LinearizedInflowBoundary.state_plus()
      • LinearizedInflowBoundary.state_bc()
      • LinearizedInflowBoundary.temperature_bc()
      • LinearizedInflowBoundary.grad_cv_bc()
      • LinearizedInflowBoundary.grad_temperature_bc()
  • 4.4.23. Low-level interfaces
    • num_flux_lfr()
    • num_flux_central()
    • num_flux_hll()
  • 4.4.24. Field limiter functions
    • bound_preserving_limiter()
  • 4.4.25. Symbolic fluxes
    • sym_inviscid_flux()
    • sym_viscous_flux()
    • sym_diffusive_flux()
    • sym_heat_flux()
    • sym_viscous_stress_tensor()
  • 4.4.26. Symbolic fluid operators
    • sym_euler()
    • sym_ns()
• 4.5. Thermally Coupled Fluid-Wall
  • 4.5.1. Boundary Setup Functions
    • add_interface_boundaries_no_grad()
    • add_interface_boundaries()
  • 4.5.2. Basic Coupled Operators
    • basic_coupled_ns_heat_operator()
  • 4.5.3. Boundary Conditions
    • InterfaceFluidBoundary
      • InterfaceFluidBoundary.__init__()
      • InterfaceFluidBoundary.viscous_divergence_flux()
      • InterfaceFluidBoundary.temperature_plus()
    • InterfaceFluidSlipBoundary
      • InterfaceFluidSlipBoundary.__init__()
      • InterfaceFluidSlipBoundary.state_plus()
      • InterfaceFluidSlipBoundary.state_bc()
      • InterfaceFluidSlipBoundary.grad_cv_bc()
      • InterfaceFluidSlipBoundary.temperature_plus()
      • InterfaceFluidSlipBoundary.temperature_bc()
      • InterfaceFluidSlipBoundary.grad_temperature_bc()
    • InterfaceFluidNoslipBoundary
      • InterfaceFluidNoslipBoundary.__init__()
      • InterfaceFluidNoslipBoundary.state_plus()
      • InterfaceFluidNoslipBoundary.state_bc()
      • InterfaceFluidNoslipBoundary.grad_cv_bc()
      • InterfaceFluidNoslipBoundary.temperature_plus()
      • InterfaceFluidNoslipBoundary.temperature_bc()
      • InterfaceFluidNoslipBoundary.grad_temperature_bc()
    • InterfaceWallBoundary
      • InterfaceWallBoundary.__init__()
      • InterfaceWallBoundary.get_grad_flux()
      • InterfaceWallBoundary.get_diffusion_flux()
    • InterfaceWallRadiationBoundary
      • InterfaceWallRadiationBoundary.__init__()
      • InterfaceWallRadiationBoundary.get_grad_flux()
      • InterfaceWallRadiationBoundary.get_diffusion_flux()