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

Nikolai Andrianov

doi:10.1002/fld.846

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

Nikolai Andrianov

Publikation: Bidrag til tidsskrift › Konferenceartikel i tidsskrift › peer 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.

Originalsprog	Engelsk
Sider (fra-til)	825-831
Antal sider	7
Tidsskrift	International Journal for Numerical Methods in Fluids
Vol/bind	47
Udgave nummer	8-9
DOI	https://doi.org/10.1002/fld.846
Status	Udgivet - 20 mar. 2005
Udgivet eksternt	Ja
Begivenhed	8th ICFD Conference on Numerical Methods for Fluid Dynamics - Oxford, Storbritannien Varighed: 29 mar. 2004 → 1 apr. 2004 Konferencens nummer: 8

Programområde

Programområde 2: Vandressourcer

Adgang til dokumentet

10.1002/fld.846

Citationsformater

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

abstract = "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.",

keywords = "Non-strictly hyperbolic non-conservative system, Riemann problem, Shallow water equations, Test cases",

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TY - JOUR

T1 - Performance of numerical methods on the non-unique solution to the Riemann problem for the shallow water equations

AU - Andrianov, Nikolai

N1 - Conference code: 8

PY - 2005/3/20

Y1 - 2005/3/20

N2 - 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.

AB - 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.

KW - Non-strictly hyperbolic non-conservative system

KW - Riemann problem

KW - Shallow water equations

KW - Test cases

UR - http://www.scopus.com/inward/record.url?scp=15744377636&partnerID=8YFLogxK

U2 - 10.1002/fld.846

DO - 10.1002/fld.846

M3 - Conference article in journal

AN - SCOPUS:15744377636

VL - 47

SP - 825

EP - 831

JO - International Journal for Numerical Methods in Fluids

JF - International Journal for Numerical Methods in Fluids

SN - 0271-2091

IS - 8-9

T2 - 8th ICFD Conference on Numerical Methods for Fluid Dynamics

Y2 - 29 March 2004 through 1 April 2004

ER -

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

Abstrakt

Programområde

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Citationsformater