Non-conservative Godunov-type schemes: Application to two-phase flows with surface tension using Lagrange-transport splitting strategy

IF 3.8 2区物理与天体物理 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Journal of Computational Physics Pub Date : 2025-03-26 DOI:10.1016/j.jcp.2025.113958

Lucas Tallois , Simon Peluchon , Gérard Gallice , Philippe Villedieu

引用次数: 0

Abstract

This paper aims to present one-dimensional and multi-dimensional non-conservative Godunov-type schemes in a general framework. These schemes are designed to preserve equilibrium solutions discretely. Gallice's theory of simple solvers is used to solve the Riemann problem approximately. These numerical schemes are applied to compute two-phase flows with surface tension effects. Time integration is based on the Lagrange-Transport splitting strategy, allowing to solve the acoustic waves with an implicit time scheme.

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来源期刊

Journal of Computational Physics 物理-计算机：跨学科应用

CiteScore

7.60

自引率

14.60%

发文量

763

审稿时长

5.8 months

期刊介绍： Journal of Computational Physics thoroughly treats the computational aspects of physical problems, presenting techniques for the numerical solution of mathematical equations arising in all areas of physics. The journal seeks to emphasize methods that cross disciplinary boundaries. The Journal of Computational Physics also publishes short notes of 4 pages or less (including figures, tables, and references but excluding title pages). Letters to the Editor commenting on articles already published in this Journal will also be considered. Neither notes nor letters should have an abstract.