A CENTRAL-UPWIND SCHEME FOR TWO-PHASE SHALLOW GRANULAR FLOW MODEL

A central-upwind scheme for two-phase shallow granular flow model

A central-upwind scheme for two-phase shallow granular flow model

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In this article, a central-upwind scheme (CUP) is extended to solve two-phase shallow granular flow (TPSF) model.The flow in this case is considered as incompressible Slow Cooker and it is regarded to be a shallow layer of granular and liquid material.The model consists of continuity and momentum equations for both solid and liquid phases.Our main intrigue is the numerical approximation of the above-mentioned solid-liquid model, the complexity of which raises numerical challenges.The proposed method is Toothbrush non-oscillating upwind biased that does not require a Riemann solver at each step.

A few test problems are approximated numerically to check the performance of suggested scheme.For validation the outcomes are compared with the conservation element solution element (CE/SE) and kinetic flux vector splitting (KFVS) schemes.

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