Simulation of an oil slick movement using a shallow water model

B. Di Martino and M. Peybernes

Mathematics and Computers in Simulation (MATCOM), 2007, vol. 76, issue 1, 155-160

Abstract: The behaviour of an oil slick on the sea surface is studied using a shallow water model with free boundary. This model is solved by coupling the Arbitrary Lagrangian Eulerian method (ALE) with the characteristic method and by using a Galerkin spatial discretization. A special basis, which permits to obtain easily the solution by solving a scalar eigenvalue problem, is then proposed. Finally, a numerical experiment is presented in a realistic configuration.

Keywords: Shallow water equations; Free boundary problem; Galerkin and ALE discretization (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:76:y:2007:i:1:p:155-160

DOI: 10.1016/j.matcom.2007.01.022

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