The Riemann problem for one-dimensional isentropic flow of a mixture of a non-ideal gas with small solid particles

We concern with the Riemann problem for one-dimensional inviscid and isentropic flow of a mixture of a non-ideal gas with small solid particles. The expressions of elementary wave curves are established. Besides, we reveal the properties of these wave curves. Furthermore, all kinds of solution patte...

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Main Authors: Yicheng Pang, Jianjun Ge, Zuozhi Liu, Min Hu
Format: Article
Language:English
Published: Elsevier 2019-12-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379719319886
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author Yicheng Pang
Jianjun Ge
Zuozhi Liu
Min Hu
author_facet Yicheng Pang
Jianjun Ge
Zuozhi Liu
Min Hu
author_sort Yicheng Pang
collection DOAJ
description We concern with the Riemann problem for one-dimensional inviscid and isentropic flow of a mixture of a non-ideal gas with small solid particles. The expressions of elementary wave curves are established. Besides, we reveal the properties of these wave curves. Furthermore, all kinds of solution patterns to the Riemann problem are shown. Finally, the comparisons between semi-analytical results and numerical results to the Riemann problem are carried out, which are in good agreement with the corresponding theoretical analysis. Keywords: Riemann problem, Dusty gas, Compressible fluid, Numerical simulations
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spelling doaj.art-c3c2386d8ac34a1abb43e889a90841d52022-12-22T03:41:58ZengElsevierResults in Physics2211-37972019-12-0115The Riemann problem for one-dimensional isentropic flow of a mixture of a non-ideal gas with small solid particlesYicheng Pang0Jianjun Ge1Zuozhi Liu2Min Hu3Department of Applied Mathematics, Guizhou University of Finance and Economics, Guiyang 550025, ChinaDepartment of Applied Mathematics, Guizhou University of Finance and Economics, Guiyang 550025, ChinaDepartment of Applied Mathematics, Guizhou University of Finance and Economics, Guiyang 550025, ChinaCorresponding author.; Department of Applied Mathematics, Guizhou University of Finance and Economics, Guiyang 550025, ChinaWe concern with the Riemann problem for one-dimensional inviscid and isentropic flow of a mixture of a non-ideal gas with small solid particles. The expressions of elementary wave curves are established. Besides, we reveal the properties of these wave curves. Furthermore, all kinds of solution patterns to the Riemann problem are shown. Finally, the comparisons between semi-analytical results and numerical results to the Riemann problem are carried out, which are in good agreement with the corresponding theoretical analysis. Keywords: Riemann problem, Dusty gas, Compressible fluid, Numerical simulationshttp://www.sciencedirect.com/science/article/pii/S2211379719319886
spellingShingle Yicheng Pang
Jianjun Ge
Zuozhi Liu
Min Hu
The Riemann problem for one-dimensional isentropic flow of a mixture of a non-ideal gas with small solid particles
Results in Physics
title The Riemann problem for one-dimensional isentropic flow of a mixture of a non-ideal gas with small solid particles
title_full The Riemann problem for one-dimensional isentropic flow of a mixture of a non-ideal gas with small solid particles
title_fullStr The Riemann problem for one-dimensional isentropic flow of a mixture of a non-ideal gas with small solid particles
title_full_unstemmed The Riemann problem for one-dimensional isentropic flow of a mixture of a non-ideal gas with small solid particles
title_short The Riemann problem for one-dimensional isentropic flow of a mixture of a non-ideal gas with small solid particles
title_sort riemann problem for one dimensional isentropic flow of a mixture of a non ideal gas with small solid particles
url http://www.sciencedirect.com/science/article/pii/S2211379719319886
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