Performance of numerical methods on the non-unique solution to the Riemann problem for the shallow water equations

Publikation: Bidrag til tidsskriftKonferenceartikel i tidsskriftpeer review

19 Citationer (Scopus)

Abstrakt

For certain initial conditions, the exact solution to the Riemann problem for the shallow water equations is not unique. We test the performance of several numerical methods on such initial data and establish that the numerical solution can pick out different exact solutions. Moreover, the numerical solution does not necessarily converge towards the picked-out exact solution.

OriginalsprogEngelsk
Sider (fra-til)825-831
Antal sider7
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 2: Vandressourcer

Fingeraftryk

Dyk ned i forskningsemnerne om 'Performance of numerical methods on the non-unique solution to the Riemann problem for the shallow water equations'. Sammen danner de et unikt fingeraftryk.

Citationsformater