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A contribution to the great Riemann solver debate
Author(s) -
Quirk James J.
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.1650180603
Subject(s) - riemann solver , spurious relationship , riemann hypothesis , roe solver , solver , godunov's scheme , riemann problem , shock (circulatory) , simple (philosophy) , calculus (dental) , mathematics , computer science , mathematical economics , mathematical optimization , epistemology , mathematical analysis , numerical analysis , physics , mechanics , philosophy , finite volume method , medicine , dentistry , machine learning
The aims of this paper are threefold: to increase the level of awareness within the shock‐capturing community of the fact that many Godunov‐type methods contain subtle flaws that can cause spurious solutions to be computed; to identify one mechanism that might thwart attempts to produce very‐high‐resolution simulations; and to proffer a simple strategy for overcoming the specific failings of individual Riemann solvers.
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