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A fast solver for riemann problems
Author(s) -
Halter E.,
Martensen E.
Publication year - 1985
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670070107
Subject(s) - mathematics , solver , riemann solver , riemann problem , polytropic process , convergence (economics) , riemann hypothesis , rate of convergence , fixed point iteration , a priori and a posteriori , scheme (mathematics) , mathematical optimization , roe solver , fixed point , mathematical analysis , computer science , finite volume method , channel (broadcasting) , computer network , physics , philosophy , epistemology , mechanics , economics , economic growth
An efficient algorithm is presented for solving the Riemann problem for a polytropic gas. It enables the user to compute the solution for all physically reasonable data. The convergence of the algorithm is proved. The accuracy of the solution is limited only by the accuracy of the computer. There is an a‐priori estimation of the required number of iterations. The rate of convergence turns out to be much higher than that of the usual fixed point iteration scheme.