Affiliation:
1. Department of Civil Engineering University of Ottawa Ottawa Ontario Canada
2. College of Big Data and Internet Shenzhen Technology University Shenzhen China
Abstract
AbstractThis study considers a water‐solute mixture underflow coupled with ambient water. Such physical phenomenons are modelled by a two‐layer stratified Saint‐Venant system with a scalar transport equation in this paper. The governing system is first relaxed to a hyperbolic system discretized by a path‐conservative algorithm. In such framework, a novel discrete formula of nonconservative and source terms, is proposed to be able to guarantee the well‐balanced property for the hydrodynamic model and preserve the uniform concentration in underflows, especially at wet‐dry fronts. The performances of the developed numerical schemes are verified by several tests.
Funder
National Natural Science Foundation of China
Subject
Applied Mathematics,Computer Science Applications,Mechanical Engineering,Mechanics of Materials,Computational Mechanics