Thermodynamical effects and high resolution methods for compressible fluid flows

JOURNAL OF COMPUTATIONAL PHYSICS

卷:343

Article

Li, Jiequan¹  Wang, Yue¹ 

[1] Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100088, Peoples R China

关键词: GRP solver;    Thermodynamical effects;    Entropy;    Riemann invariants;    Kinematic-thermodynamic variables;    Nonlinear geometrical optics;   

DOI  :  10.1016/j.jcp.2017.04.048

来源: Elsevier

【 摘 要 】

One of the fundamental differences of compressible fluid flows from incompressible fluid flows is the involvement of thermodynamics. This difference should be manifested in the design of numerical schemes. Unfortunately, the role of entropy, expressing irreversibility, is often neglected even though the entropy inequality, as a conceptual derivative, is verified for some first order schemes. In this paper, we refine the GRP solver to illustrate how the thermodynamical variation is integrated into the design of high resolution methods for compressible fluid flows and demonstrate numerically the importance of thermodynamic effects in the resolution of strong waves. As a by-product, we show that the GRP solver works for generic equations of state, and is independent of technical arguments. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free