Exact solution for Riemann problems of the shear shallow water model
Numerical Analysis
2022-04-08 v2 Numerical Analysis
Computational Physics
Abstract
The shear shallow water model is a higher order model for shallow flows which includes some shear effects that are neglected in the classical shallow models. The model is a non-conservative hyperbolic system which can admit shocks, rarefactions, shear and contact waves. The notion of weak solution is based on a path but the choice of the correct path is not known for this problem. In this paper, we construct exact solution for the Riemann problem assuming a linear path in the space of conserved variables, which is also used in approximate Riemann solvers. We compare the exact solutions with those obtained from a path conservative finite volume scheme on some representative test cases.
Keywords
Cite
@article{arxiv.2108.08648,
title = {Exact solution for Riemann problems of the shear shallow water model},
author = {Boniface Nkonga and Praveen Chandrashekar},
journal= {arXiv preprint arXiv:2108.08648},
year = {2022}
}