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On the Riemann problem for liquid or gas‐liquid media
Author(s) -
Chen TzeJang,
Cooke Charlie H.
Publication year - 1994
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650180507
Subject(s) - riemann problem , riemann hypothesis , convergence (economics) , riemann solver , mathematics , interval (graph theory) , gas dynamics , interface (matter) , mathematical analysis , mathematical optimization , physics , mechanics , combinatorics , finite volume method , bubble , maximum bubble pressure method , economics , economic growth
Self‐similar solutions to the Riemann problem for water with the modified Tait equation of state are presented. The methods of Smoller for gas dynamics are employed to reduce the problem to the solution of a single non‐linear equation. The same methods are used for solving the Riemann problem at a gas‐water interface. In both cases the method of interval bisections affords a solution technique free of problems with convergence.