Author:
Shah Sarswati,Hernández-Dueñas Gerardo
Abstract
AbstractIn this paper, we formulate a model for weakly compressible two-layer shallow water flows with friction in general channels. The formulated model is non-conservative, and in contrast to the incompressible limit, our system is strictly hyperbolic. The generalized Rankine–Hugoniot conditions are provided for the present system with non-conservative products to define weak solutions. We write the Riemann invariants along each characteristic field for channels with constant width in an appendix. A robust well-balanced path-conservative semi-discrete central-upwind scheme is proposed and implemented to validate exact solutions to the Riemann problem. We also present numerical tests in general channels to show the merits of the scheme.
Funder
Coordinación de la Investigación Cientófica
DGAPA
Consejo Nacional de Ciencia y Tecnología
Publisher
Springer Science and Business Media LLC