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.
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