Towards very high-order accurate schemes for unsteady convection problems on unstructured meshes

R. Abgrall, N. Andrianov, M. Mezine

Publikation: Bidrag til tidsskriftKonferenceartikel i tidsskriftpeer review

14 Citationer (Scopus)

Abstrakt

We construct several high-order residual-distribution methods for two-dimensional unsteady scalar advection on triangular unstructured meshes. For the first class of methods, we interpolate the solution in the space-time element. We start by calculating the first-order node residuals, then we calculate the high-order cell residual, and modify the first-order residuals to obtain high accuracy. For the second class of methods, we interpolate the solution in space only, and use high-order finite difference approximation for the time derivative. In doing so, we arrive at a multistep residual-distribution scheme. We illustrate the performance of both methods on several standard test problems.

OriginalsprogEngelsk
Sider (fra-til)679-691
Antal sider13
TidsskriftInternational Journal for Numerical Methods in Fluids
Vol/bind47
Udgave nummer8-9
DOI
StatusUdgivet - 20 mar. 2005
Udgivet eksterntJa
Begivenhed8th ICFD Conference on Numerical Methods for Fluid Dynamics - Oxford, Storbritannien
Varighed: 29 mar. 20041 apr. 2004
Konferencens nummer: 8

Programområde

  • Programområde 1: Data

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