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

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 p...

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Bibliographic Details
Main Author: Clain, Stéphane (author)
Other Authors: Figueiredo, Jorge Manuel (author), Ribeiro, Carolina Paula Baptista (author)
Format: conferencePaper
Language:eng
Published: 2012
Subjects:
Finite volume
Unstructured mesh
MOOD
Shallow-water
Online Access:http://hdl.handle.net/1822/19892
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/19892
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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