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A finite volume scheme for the shallow-water system with the polynomial reconstruction

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Bibliographic Details
Summary:We present a new very high-order finite volume scheme for the shallow-water system based on the local Polynomial Reconstruction Operator (PRO-scheme) and the MOOD technique to guaranty the solution stability. We detail the design of the scheme and provide two examples with regular solution of wave propagation to highlight the scheme capacity to preserve the waves.
Main Authors:Clain, Stéphane
Other Authors:Figueiredo, Jorge Manuel; Ribeiro, Carolina Paula Baptista
Subject:Finite volume Unstructured mesh MOOD Shallow-water
Year:2012
Country:Portugal
Document type:conference paper
Access type:restricted access
Associated institution:Universidade do Minho
Language:English
Origin:RepositóriUM - Universidade do Minho
Description
Summary:We present a new very high-order finite volume scheme for the shallow-water system based on the local Polynomial Reconstruction Operator (PRO-scheme) and the MOOD technique to guaranty the solution stability. We detail the design of the scheme and provide two examples with regular solution of wave propagation to highlight the scheme capacity to preserve the waves.

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