An upwind space-time conservation element and solution element scheme for solving dusty gas flow model
Autor: | Asad Rehman, Ishtiaq Ali, Shamsul Qamar |
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Jazyk: | angličtina |
Rok vydání: | 2017 |
Předmět: |
Shock wave
Physics Current (mathematics) Space time General Physics and Astronomy Boundary (topology) Upwind differencing scheme for convection Upwind scheme 010103 numerical & computational mathematics Classification of discontinuities 01 natural sciences Computer Science::Numerical Analysis lcsh:QC1-999 010305 fluids & plasmas Mathematics::Numerical Analysis Classical mechanics Flow (mathematics) Computer Science::Computational Engineering Finance and Science 0103 physical sciences Applied mathematics 0101 mathematics lcsh:Physics |
Zdroj: | Results in Physics, Vol 7, Iss, Pp 3678-3686 (2017) |
ISSN: | 2211-3797 |
Popis: | An upwind space-time conservation element and solution element (CE/SE) scheme is extended to numerically approximate the dusty gas flow model. Unlike central CE/SE schemes, the current method uses the upwind procedure to derive the numerical fluxes through the inner boundary of conservation elements. These upwind fluxes are utilized to calculate the gradients of flow variables. For comparison and validation, the central upwind scheme is also applied to solve the same dusty gas flow model. The suggested upwind CE/SE scheme resolves the contact discontinuities more effectively and preserves the positivity of flow variables in low density flows. Several case studies are considered and the results of upwind CE/SE are compared with the solutions of central upwind scheme. The numerical results show better performance of the upwind CE/SE method as compared to the central upwind scheme. Keywords: Dusty gas flow, Solid particles, Upwind schemes, Rarefaction wave, Shock wave, Contact discontinuity |
Databáze: | OpenAIRE |
Externí odkaz: |
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