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

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.

authors

• Petrova, Guergana

published proceedings

• Journal of Scientific Computing

author list (cited authors)

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

citation count

• 16

complete list of authors

• Chertock, Alina||Kurganov, Alexander||Petrova, Guergana

publication date

• June 2006

publisher

• Springer Nature  Publisher

published in

• Journal of Scientific Computing  Journal

keywords

• 49 Mathematical Sciences
• 4901 Applied Mathematics
• 4903 Numerical And Computational Mathematics

Digital Object Identifier (DOI)

• 10.1007/s10915-005-9060-x

start page

• 189

end page

• 199

volume

• 27

issue

• 1-3

URL

• http://dx.doi.org/10.1007/s10915-005-9060-x