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 viscosity.

The viscous momentum flux

$$\int {\int }_V\mathrm{\nabla }\cdot {\nu }_{t}h\mathrm{\nabla }\mathbf{u}dV$$

is re-written using Gauss' divergence theorem to:

$${\int }_{S_f}{\nu }_{t}h\mathrm{\nabla }\mathbf{u}\cdot {\mathbf{n}}_{\mathbf{f}}dS$$

The effective kinematic viscosity ${\nu }_t$ can be calculated by adding a vertical (Elder-like) and a horizontal (Smagorinsky-like) part. This enabled by setting "ShallowWater.UseMixingLengthTurbulenceModel" to "true".

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 viscosity. More...

Namespaces
namespace	Dumux

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