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On the spectrum of the Steger‐Warming flux‐vector splitting scheme
Author(s) -
Witherden F.D.,
Jameson A.
Publication year - 2018
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.4503
Subject(s) - eigenvalues and eigenvectors , flux (metallurgy) , scheme (mathematics) , spectrum (functional analysis) , euler equations , sign (mathematics) , mathematics , euler's formula , constant (computer programming) , work (physics) , mathematical analysis , euler number (physics) , backward euler method , physics , semi implicit euler method , thermodynamics , computer science , chemistry , quantum mechanics , organic chemistry , programming language
Summary The flux‐vector splitting scheme of Steger and Warming is a popular approach for the Euler equations. In this work, we consider the spectrum of the scheme and show for 1≤ γ ≤5/3, where γ is the ideal gas constant, that the eigenvalues are strictly real and of an appropriate sign.