Abstract
We present a new hybrid numerical method for computing the transport of a passive pollutant by a flow. The flow is modeled by the Saint-Venant system of shallow water equations and the pollutant propagation is described by a transport equation. The idea behind the new finite-volume-particle (FVP) method is to use different schemes for the flow and the pollution computations: the shallow water equations are numerically integrated using a finite-volume scheme, while the transport equation is solved by a particle method. This way the specific advantages of each scheme are utilized at the right place. This results in a significantly enhanced resolution of the computed solution
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Chertock, A., Kurganov, A. & Petrova, G. Finite-Volume-Particle Methods for Models of Transport of Pollutant in Shallow Water. J Sci Comput 27, 189–199 (2006). https://doi.org/10.1007/s10915-005-9060-x
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DOI: https://doi.org/10.1007/s10915-005-9060-x