Central Upwind Scheme for a Compressible Two-Phase Flow Model
Autor: | M. Rehan Saleem, Munshoor Ahmed, Saqib Zia, Shamsul Qamar |
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Rok vydání: | 2015 |
Předmět: |
Conservation of energy
Multidisciplinary Finite volume method lcsh:R lcsh:Medicine Upwind differencing scheme for convection Upwind scheme Models Theoretical Riemann solver Momentum symbols.namesake symbols Fluid dynamics Applied mathematics lcsh:Q lcsh:Science Conservation of mass Research Article Mathematics |
Zdroj: | PLoS ONE PLoS ONE, Vol 10, Iss 6, p e0126273 (2015) |
ISSN: | 1932-6203 |
DOI: | 10.1371/journal.pone.0126273 |
Popis: | In this article, a compressible two-phase reduced five-equation flow model is numerically investigated. The model is non-conservative and the governing equations consist of two equations describing the conservation of mass, one for overall momentum and one for total energy. The fifth equation is the energy equation for one of the two phases and it includes source term on the right-hand side which represents the energy exchange between two fluids in the form of mechanical and thermodynamical work. For the numerical approximation of the model a high resolution central upwind scheme is implemented. This is a non-oscillatory upwind biased finite volume scheme which does not require a Riemann solver at each time step. Few numerical case studies of two-phase flows are presented. For validation and comparison, the same model is also solved by using kinetic flux-vector splitting (KFVS) and staggered central schemes. It was found that central upwind scheme produces comparable results to the KFVS scheme. |
Databáze: | OpenAIRE |
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