Abstract
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.
Highlights
RESEARCH ARTICLEOPEN ACCESS Citation: Ahmed M, Saleem MR, Zia S, Qamar S (2015) Central Upwind Scheme for a Compressible Two-Phase Flow Model
Multiphase flows are commonly observed in nature and science, from stand storms, to volcanic clouds, blood flow in vessels and motion of rain droplets
Multiphase flow problems involve the flow of two or more fluids separated by sharp interfaces
Summary
OPEN ACCESS Citation: Ahmed M, Saleem MR, Zia S, Qamar S (2015) Central Upwind Scheme for a Compressible Two-Phase Flow Model. A compressible two-phase reduced five-equation flow model is numerically investigated. 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. The same model is 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.
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