AdvectionDiffusion Struct ReferenceΒΆ

adc_cpp: pops::validation::AdvectionDiffusion Struct Reference
adc_cpp 0.3.0
Model-free C++23 core for coupled hyperbolic-elliptic systems on adaptive (AMR) meshes, with MPI and GPU (Kokkos) backends
Public Types | Public Member Functions | Public Attributes | Static Public Attributes | List of all members
pops::validation::AdvectionDiffusion Struct Reference

Scalar advection-diffusion: d_t u + a . More...

#include <advection_diffusion.hpp>

+ Collaboration diagram for pops::validation::AdvectionDiffusion:

Public Types

using State = StateVec< 1 >
 one conservative variable: the scalar u
 
using Aux = pops::Aux
 auxiliary fields (unused, not coupled)
 

Public Member Functions

POPS_HD State flux (const State &u, const Aux &, int dir) const
 Advection flux F = a u in direction dir.
 
POPS_HD Real max_wave_speed (const State &, const Aux &, int dir) const
 Maximum wave speed: magnitude of the advection velocity in direction dir.
 
POPS_HD State source (const State &, const Aux &) const
 Zero source term.
 
POPS_HD Real elliptic_rhs (const State &u) const
 Poisson right-hand side: u (not coupled here, present for the concept).
 
POPS_HD Real diffusivity () const
 Diffusivity nu: enables the parabolic term on the core side (DiffusiveModel trait).
 

Public Attributes

Real ax = 1.0
 advection velocity in x
 
Real ay = 0.0
 advection velocity in y
 
Real nu = 0.0
 diffusivity (0 = pure advection)
 

Static Public Attributes

static constexpr int n_vars = 1
 number of conservative variables
 

Detailed Description

Scalar advection-diffusion: d_t u + a .

grad u = nu Lap u.

VALIDATION/REFERENCE brick (not used by adc_cases as of 2026-06-06); kept as an example and as a reference model for tests/test_weno5_ssprk3.cpp.

Illustrates the remark "diffusion is just one more flux": we keep the advection PhysicalModel and add only the diffusivity() method. The parabolic term +nu Lap(u) is then provided by the core (assemble_rhs detects the DiffusiveModel trait), without touching the coupler. nu = 0 recovers pure advection.

Member Typedef Documentation

◆ Aux

using pops::validation::AdvectionDiffusion::Aux = pops::Aux

auxiliary fields (unused, not coupled)

◆ State

using pops::validation::AdvectionDiffusion::State = StateVec<1>

one conservative variable: the scalar u

Member Function Documentation

◆ diffusivity()

POPS_HD Real pops::validation::AdvectionDiffusion::diffusivity ( ) const
inline

Diffusivity nu: enables the parabolic term on the core side (DiffusiveModel trait).

◆ elliptic_rhs()

POPS_HD Real pops::validation::AdvectionDiffusion::elliptic_rhs ( const State &  u) const
inline

Poisson right-hand side: u (not coupled here, present for the concept).

◆ flux()

POPS_HD State pops::validation::AdvectionDiffusion::flux ( const State &  u,
const Aux &  ,
int  dir 
) const
inline

Advection flux F = a u in direction dir.

◆ max_wave_speed()

POPS_HD Real pops::validation::AdvectionDiffusion::max_wave_speed ( const State &  ,
const Aux &  ,
int  dir 
) const
inline

Maximum wave speed: magnitude of the advection velocity in direction dir.

◆ source()

POPS_HD State pops::validation::AdvectionDiffusion::source ( const State &  ,
const Aux &   
) const
inline

Zero source term.

Member Data Documentation

◆ ax

Real pops::validation::AdvectionDiffusion::ax = 1.0

advection velocity in x

◆ ay

Real pops::validation::AdvectionDiffusion::ay = 0.0

advection velocity in y

◆ n_vars

constexpr int pops::validation::AdvectionDiffusion::n_vars = 1
staticconstexpr

number of conservative variables

◆ nu

Real pops::validation::AdvectionDiffusion::nu = 0.0

diffusivity (0 = pure advection)

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