Finite-Volume-Particle Methods for Models of Transport of Pollutant in Shallow Water Conference Paper uri icon

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. © 2005 Springer Science+Business Media, Inc.

author list (cited authors)

  • Chertock, A., Kurganov, A., & Petrova, G.

citation count

  • 14

publication date

  • June 2006