On the spectrum of the Steger‐Warming flux‐vector splitting scheme. (26th March 2018)

• Record Type: Journal Article
• Authors: Witherden, F.D.; Jameson, A.
• Is Part Of: International journal for numerical methods in fluids. Volume 87:Number 12(2018)
• Page Start: 601
• Page End: 606
• Publication Date: 2018-03-26
• Subjects: convection -- Euler flow -- finite difference -- finite volume -- hyperbolic -- subsonic; Fluid dynamics -- Mathematics -- Periodicals; 532
• DOI: 10.1002/fld.4503
• Languages: English
• ISSNs: 0271-2091

Abstract

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. Abstract : Plot of the eigenvalues for J + and J − against Mach number for the case of γ=7/5.