Result: Performance of numerical methods on the non-unique solution to the Riemann problem for the shallow water equations
Title:
Performance of numerical methods on the non-unique solution to the Riemann problem for the shallow water equations
Authors:
Source:
8th ICFD Conference on Numerical Methods for Fluid Dynamics: Part 1International journal for numerical methods in fluids. 47(8-9):825-831
Publisher Information:
Chichester: Wiley, 2005.
Publication Year:
2005
Physical Description:
print, 16 ref
Original Material:
INIST-CNRS
Subject Terms:
Mechanics acoustics, Mécanique et acoustique, Sciences exactes et technologie, Exact sciences and technology, Physique, Physics, Domaines classiques de la physique (y compris les applications), Fundamental areas of phenomenology (including applications), Mécanique des fluides, Fluid dynamics, Méthodes de calcul en mécanique des fluides, Computational methods in fluid dynamics, Mécanique des fluides appliquée, Applied fluid mechanics, Hydrodynamique, hydraulique, hydrostatique, Hydrodynamics, hydraulics, hydrostatics, Convergence numérique, Numerical convergence, Convergencia numérica, Equation eau peu profonde, Shallow-water equations, Génération maille, Mesh generation, Hydraulique, Hydraulics, Mécanique fluide numérique, Computational fluid dynamics, Problème Riemann, Riemann problem, Problema Riemann, Simulation numérique, Digital simulation, Système hyperbolique, Hyperbolic system, Sistema hiperbólico, non-strictly hyperbolic non-conservative system, shallow water equations, test cases
Document Type:
Conference
Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Mathématiques Appliquées de Bordeaux, Université Bordeaux 1, 351 cours de la Libération, 33405 Talence, France
ISSN:
0271-2091
Rights:
Copyright 2005 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Physics: fluid mechanics
Accession Number:
edscal.16671777
Database:
PASCAL Archive
Further Information
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.