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Well-Balanced Variable Density Shallow Water Equations for Outfall Discharge Problem

Author(s): S. Khorshid; A. Mohammadian; I. Nistor

Linked Author(s): Ioan Nistor

Keywords: Shallow water equations; Variable density; Well-balanced scheme; Numerical simulation

Abstract: The importance of outfall and mixing problems calls for a simple, while accurate methodology for the simulation. Therefore, in this paper, a central upwind scheme for variable density shallow water system of equations is proposed over a triangular discretization of the domain. In this scheme, the well -balanced property is maintained so that the large oscillations and noises are avoided from the solution. The usability of this solution in the mixing and outfall problems is shown over a numerical example, also the accuracy and efficiency of the methodology is tested by comparing to another complex scheme in a practical largescale example. The comparison shows a significant advantage of the proposed methodology over other solutions, which is the very high efficiency while maintaining the accuracy of the results.

DOI:

Year: 2016

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