Compute the shallow water viscous momentum flux due to viscosity. More...
#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.
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 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 |