Abstract
The diversity of industrial configurations presenting a flow of mixtures of several species calls on researchers to develop a reliable, easily usable tool capable of treating this type of flow in the presence of an interface. The present work contributes to the numerical solution of multi-species equations in the presence of shocks and contact discontinuities. A shock capture-type method based on the separation of roe flux differences is associated with a two-parameter equation of state. The results presented here show that the model has the ability to correctly capture the present shocks and discontinuities and provide an accuracy compatible with the requirements zones of discontinuity existing in the flow.
Highlights
Among the main challenges of numerical simulation is its ability to deal with different flows despite their complicity
Flows containing shocks and contact discontinuities are one of those complex flows that occur in various industrial configurations
In the case of a multi-species flow, the complexity of the flow increases, and the number of equations can rapidly weigh down the calculation, which makes the selection of equations a critical step in the simulation
Summary
Among the main challenges of numerical simulation is its ability to deal with different flows despite their complicity. It is desirable to be able to predict it with great precision without this being costly The simulation of these complex flows needs to consider the different physical phenomena to approach real cases. It pairs with a broad category of equations of state [3] The association of this method with the gamma model [4] has shown its effectiveness for mono-species flows [5], as well as for multi-species flows described in a curvilinear reference [6]. This gamma model brings its flexibility to simulate the compressible and incompressible fluid by a single formulation. Several limiters have been introduced into the digital flux expression to remove fluctuations and bring back the precision and the sharpness near the zones of shocks
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