A New Flux Splitting Scheme Based on Toro-Vazquez and HLL Schemes for the Euler Equations. (2nd December 2014)

• Record Type: Journal Article
• Authors: Tiam Kapen, Pascalin; Ghislain, Tchuen
• Other Names: Ferrieres Xavier Academic Editor.
• Is Part Of: Journal of computational methods in physics. Volume 2014(2014)
• Publication Date: 2014-12-02
• Subjects: Physics -- Data processing -- Periodicals; Mathematical physics -- Data processing -- Periodicals; Mathematical physics -- Data processing; Physics -- Data processing; Electronic journals; Periodicals; Electronic journals; 530.0285
• DOI: 10.1155/2014/827034
• Languages: English
• ISSNs: 2356-7287

Abstract

Abstract : This paper presents a new flux splitting scheme for the Euler equations. The proposed scheme termed TV-HLL is obtained by following the Toro-Vazquez splitting (Toro and Vázquez-Cendón, 2012) and using the HLL algorithm with modified wave speeds for the pressure system. Here, the intercell velocity for the advection system is taken as the arithmetic mean. The resulting scheme is more accurate when compared to the Toro-Vazquez schemes and also enjoys the property of recognition of contact discontinuities and shear waves. Accuracy, efficiency, and other essential features of the proposed scheme are evaluated by analyzing shock propagation behaviours for both the steady and unsteady compressible flows. The accuracy of the scheme is shown in 1D test cases designed by Toro.