Delis, "An unstructured node-centered finite volume scheme for shallow water flows
with wet/dry fronts over complex topography," Computer Methods in Applied Mechanics and Engineering, vol.
Among the various benchmark problems, four applications of practical relevance to the numerical modeling of shallow water flow were used to validate the shallow water flow code developed in this study.
In the modeling of shallow water flow, there are benchmark test problems, in which analytic solutions, validated numerical results, and/or experimental data are available.
Actually shallow water flow problems have boundary exists, which belongs to mixed initial boundary value problem, so we must give early boundary conditions when we solving it.
Even the water does not meet the assumption of shallow water flow, peak moving speed is difficult to determine.
Cheng, "Semi-implicit finite difference methods for three-dimensional shallow water flow
," International Journal for Numerical Methods in Fluids, vol.
Tsai, "GPU accelerated lattice Boltzmann model for shallow water flow
and mass transport," International Journal for Numerical Methods in Engineering, vol.
It is shown in [17-21] (in contrast to ) that, for shallow water flows
, the Landau constant in (25) has the "right sign" so that (25) can be used (and is successfully used in [17-21]) in order to describe some important features of shallow wake flows.
Zhou, Lattice Boltzmann Methods for Shallow Water Flows
, Springer, Heidelberg, Germany, 2004.
Khan and Lai present this river hydraulics modeling reference on the Galerkin (DG) method for shallow water flows
. The general formulation of the method is presented with the establishment of relevant mathematics, followed by illustrative tests on one-dimensional nonconservative problems.
Roberts, "A finite volume method for shallow water flows
on triangular computational grids," in Proceedings of the International Conference on Advanced Computer Science and Information Systems (ICACSIS '11), pp.
Liu, "A robust well-balanced finite volume model for shallow water flows
with wetting and drying over irregular terrain," Advances in Water Resources, vol.