shallowwaterviscousflux.hh File Reference

#include <cmath>
#include <algorithm>
#include <utility>
#include <type_traits>
#include <array>
#include <dune/common/std/type_traits.hh>
#include <dune/common/exceptions.hh>
#include <dumux/common/parameters.hh>
#include <dumux/flux/fluxvariablescaching.hh>
#include <dumux/flux/shallowwater/fluxlimiterlet.hh>

Go to the source code of this file.

Description

Compute the shallow water viscous momentum flux due to (turbulent) viscosity.

The viscous momentum flux

\[ \int \int_{V} \mathbf{\nabla} \cdot \nu_t h \mathbf{\nabla} \mathbf{u} dV \]

is re-written using Gauss' divergence theorem to:

\[ \int_{S_f} \nu_t h \mathbf{\nabla} \mathbf{u} \cdot \mathbf{n_f} dS \]

The turbulent viscosity \( \nu_t \) is calculated by adding a vertical (Elder-like) and a horizontal (Smagorinsky-like) part.

For now the calculation of the shallow water viscous momentum flux is implemented strictly for 2D depth-averaged models (i.e. 3 equations).

Classes
class	Dumux::ShallowWaterViscousFlux< NumEqVector, >
	Compute the shallow water viscous momentum flux due to (turbulent) viscosity. More...

Namespaces
namespace	Dumux
	Adaption of the non-isothermal two-phase two-component flow model to problems with CO2.

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