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Finite-Volume-Particle Methods for Models of Transport of Pollutant in Shallow Water |
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| Authors: | Alina Chertock Alexander Kurganov Guergana Petrova |
| Affiliation: | (1) Department of Mathematics, North Carolina State University, Raleigh, NC 27695, USA;(2) Department of Mathematics, Tulane University,New Orleans, New Orleans, LA 70118, USA;(3) Department of Mathematics, Texas A & M University, College Station, TX 77843, USA |
| 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 |
| Keywords: | Saint-Venant system of shallow water equations transport of pollutant finite-volume schemes particle methods central-upwind schemes balance laws |
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