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Title: Thermodynamical effects and high resolution methods for compressible fluid flows

Abstract

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.

Authors:
;
Publication Date:
OSTI Identifier:
22701588
Resource Type:
Journal Article
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 343; Other Information: Copyright (c) 2017 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-9991
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPRESSIBLE FLOW; ENTROPY; EQUATIONS OF STATE; INCOMPRESSIBLE FLOW; NONLINEAR OPTICS; NONLINEAR PROBLEMS; RESOLUTION; THERMODYNAMICS

Citation Formats

Li, Jiequan, and Wang, Yue. Thermodynamical effects and high resolution methods for compressible fluid flows. United States: N. p., 2017. Web. doi:10.1016/J.JCP.2017.04.048.
Li, Jiequan, & Wang, Yue. Thermodynamical effects and high resolution methods for compressible fluid flows. United States. doi:10.1016/J.JCP.2017.04.048.
Li, Jiequan, and Wang, Yue. Tue . "Thermodynamical effects and high resolution methods for compressible fluid flows". United States. doi:10.1016/J.JCP.2017.04.048.
@article{osti_22701588,
title = {Thermodynamical effects and high resolution methods for compressible fluid flows},
author = {Li, Jiequan and Wang, Yue},
abstractNote = {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.},
doi = {10.1016/J.JCP.2017.04.048},
journal = {Journal of Computational Physics},
issn = {0021-9991},
number = ,
volume = 343,
place = {United States},
year = {2017},
month = {8}
}