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arXiv · 2302.09784

A Projection Method for Compressible Generic Two-Fluid Model

Po-Yi Wu
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Abstract

A new projection method for a generic two-fluid model is presented in this work. Specifically, we extend the projection method, originally designed for single-phase variable density incompressible and compressible flows, to viscous compressible two-fluid flows. The key idea is that the single pressure $p$ can be uniquely determined by the products of volume fractions and densities $ϕ_k ρ_k$, of the two fluids. Additionally, the stability of the method is ensured by appropriately assigning intermediate step variables at the time-discrete level and incorporating a stabilizing term at the fully discrete level. We prove the energy stability of the proposed numerical scheme, and its validity is demonstrated through three numerical tests.

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Po-Yi Wu. 2025-01-16. A Projection Method for Compressible Generic Two-Fluid Model. https://arxiv.org/abs/2302.09784

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