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Abstract <p>In this paper, we perform numerical studies of a diffuse interface model which describes evolution of foam structure. The model itself and the computational algorithms used for its analysis are described in detail. The dependence of the steady-state foam structure on the free energy parameters of the system is examined. Purely explicit and linear semi-implicit approximations based on Eyre convex splitting are considered and evaluated numerically. Comprehensive numerical studies are performed to evaluate energy stability issues.</p>

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Numerical Studies of Phase Field Model for Foam Structure Simulation and Modeling

  • 期刊论文

  • 发表日期：

    2025年11月1日

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  • N. A. Semenenko,
  • T. G. Elenina,
  • E. B. Savenkov

摘要

Abstract

In this paper, we perform numerical studies of a diffuse interface model which describes evolution of foam structure. The model itself and the computational algorithms used for its analysis are described in detail. The dependence of the steady-state foam structure on the free energy parameters of the system is examined. Purely explicit and linear semi-implicit approximations based on Eyre convex splitting are considered and evaluated numerically. Comprehensive numerical studies are performed to evaluate energy stability issues.