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...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
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Elsevier
2019-12-01
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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 |
first_indexed | 2024-04-12T07:34:56Z |
format | Article |
id | doaj.art-c3c2386d8ac34a1abb43e889a90841d5 |
institution | Directory Open Access Journal |
issn | 2211-3797 |
language | English |
last_indexed | 2024-04-12T07:34:56Z |
publishDate | 2019-12-01 |
publisher | Elsevier |
record_format | Article |
series | Results in Physics |
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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