A simple extension of Roe's scheme for real gases

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• 作者：Sina Arabi ; ^{sina.arabi@polymtl.ca} ; Jean-Yves Tré ; panier ; Ricardo Camarero
• 关键词：Real gas ; Roe's scheme ; Local Thermodynamic Equilibrium (LTE) ; Riemann problem ; Exact solution
• 刊名：Journal of Computational Physics
• 出版年：2017
• 出版时间：15 January 2017
• 年：2017
• 卷：329
• 期：Complete
• 页码：16-28
• 全文大小：936 K
• 卷排序：329

文摘

The purpose of this paper is to develop a highly accurate numerical algorithm to model real gas flows in local thermodynamic equilibrium (LTE). The Euler equations are solved using a finite volume method based on Roe's flux difference splitting scheme including real gas effects. A novel algorithm is proposed to calculate the Jacobian matrix which satisfies the flux difference splitting exactly in the average state for a general equation of state. This algorithm increases the robustness and accuracy of the method, especially around the contact discontinuities and shock waves where the gas properties jump appreciably. The results are compared with an exact solution of the Riemann problem for the shock tube which considers the real gas effects. In addition, the method is applied to a blunt cone to illustrate the capability of the proposed extension in solving two dimensional flows.