Classification of the Riemann problem for compressible two-dimensional Euler system in non-ideal gas
| Autor: | M. I. Zafar, V. D. Sharma |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
DYNAMICS
Planar rarefaction waves SCALAR CONSERVATION-LAWS Two-dimensional Euler equations HYPERBOLIC SYSTEMS SHOCK-WAVE Shock waves and slip lines 01 natural sciences 3 CONSTANT STATES symbols.namesake Planar 0101 mathematics EQUATIONS DER-WAALS GAS Noble-Abel gas Physics Isentropic process Applied Mathematics 010102 general mathematics Mathematical analysis General Engineering EXPANSION General Medicine Euler system Ideal gas Two-dimensional Riemann problem 010101 applied mathematics Computational Mathematics Van der Waals gas Riemann problem VACUUM symbols Compressibility van der Waals force Constant (mathematics) General Economics Econometrics and Finance VAN Analysis |
| Zdroj: | Nonlinear Analysis: Real World Applications. 43:245-261 |
| ISSN: | 1468-1218 |
| DOI: | 10.1016/j.nonrwa.2018.02.011 |
| Popis: | This work is devoted to the study of two-dimensional Riemann problem modeled by compressible Euler system for the non-ideal gas. The initial constant data are divided in four quadrants in such a way that only one planar elementary wave connects two neighboring states. We classify the different combinations of planar elementary waves and subsequently discuss one by one using the method of generalized characteristic analysis. Attention is drawn to the changes in elementary waves, with regard to their shape, speed and strength, under the influence of the van der Waals parameter b. It has been shown that only sixteen (respectively, fifteen) distinct combinations of planar elementary waves exist for isentropic (respectively, non-isentropic) non-ideal gas flows. (C) 2018 Elsevier Ltd. All rights reserved. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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