A FINITE VOLUME SCHEME FOR THE SHALLOW-WATER SYSTEM WITH THE POLYNOMIAL RECONSTRUCTION

Stéphane Clain (1) , Jorge Figueiredo (1) , Carolina Ribeiro (1)

1 DMA - Departamento de Matemática e Aplicaçoes

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.

Mots clés: SHALLOW-WATER; FINITE VOLUME; POLYNOMIAL RECONSTRUCTION

Domaines: Analyse numérique [math.NA]

Stéphane Clain, Jorge Figueiredo, Carolina Ribeiro. A FINITE VOLUME SCHEME FOR THE SHALLOW-WATER SYSTEM WITH THE POLYNOMIAL RECONSTRUCTION. 2012. ⟨hal-00675745⟩