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Journal of Scientific Computing

Erschienen in:

01.09.2023

A Physical-Constraint-Preserving Discontinuous Galerkin Method for Weakly Compressible Two-Phase Flows

verfasst von: Fan Zhang, Jian Cheng, Tiegang Liu

Erschienen in: Journal of Scientific Computing | Ausgabe 3/2023

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Abstract

This work focuses on the robust and high-order numerical simulations of weakly compressible two-phase flows by using the discontinuous Galerkin (DG) method combined with an explicit strong-stability-preserving Runge–Kutta scheme. In order to improve the computational robustness under large density ratios, a nonlinear weighted essentially non-oscillatory (WENO) limiter and a positivity-preserving limiter are specially designed and applied with the aim of dampening the nonphysical oscillations around the phase interface and preventing the occurrence of negative density, respectively. More importantly, we theoretically prove that the present method is able to satisfy the uniform-pressure–velocity criterion which states that uniform pressure and velocity profiles around an isolated phase interface should be preserved during the simulation. The performance of the present method is validated by a range of benchmark test cases with density ratios up to 1000:1. The results demonstrate that the present method possesses a good capability of simulating weakly compressible two-phase flows with large density ratios.

Vorheriger Artikel Hybrid HWENO Method for Nonlinear Degenerate Parabolic Equations

Nächster Artikel Monotone Meshfree Methods for Linear Elliptic Equations in Non-divergence Form via Nonlocal Relaxation

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Titel: A Physical-Constraint-Preserving Discontinuous Galerkin Method for Weakly Compressible Two-Phase Flows
verfasst von: Fan Zhang
Jian Cheng
Tiegang Liu
Publikationsdatum: 01.09.2023
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 3/2023
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-023-02306-2

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