A Generalized Finite Difference Scheme for Multiphase Flow

IF 1.9 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Mathematical & Computational Applications Pub Date : 2023-03-26 DOI:10.3390/mca28020051

J. C. Joubert, D. Wilke, P. Pizette

引用次数: 1

Abstract

This paper presents a GPU-based, incompressible, multiphase generalized finite difference solver for simulating multiphase flow. The method includes a dampening scheme that allows for large density ratio cases to be simulated. Two verification studies are performed by simulating the relaxation of a square droplet surrounded by a light fluid and a bubble rising in a denser fluid. The scheme is also used to simulate the collision of binary droplets at moderate Reynolds numbers (250–550). The effects of the surface tension and density ratio are explored in this work by considering cases with Weber numbers of 8 and 180 and density ratios of 2:1 and 1000:1. The robustness of the multiphase scheme is highlighted when resolving thin fluid structures arising in both high and low density ratio cases at We = 180.

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多相流的广义有限差分格式

本文提出了一种基于GPU的、不可压缩的多相广义有限差分求解器，用于模拟多相流。该方法包括阻尼方案，该阻尼方案允许模拟大密度比的情况。通过模拟被轻质流体包围的方形液滴和在密度较大的流体中上升的气泡的弛豫，进行了两项验证研究。该方案还用于模拟中等雷诺数（250–550）下二元液滴的碰撞。本文通过考虑韦伯数为8和180，密度比为2:1和1000:1的情况，探讨了表面张力和密度比的影响。当解决在We=180的高密度比和低密度比情况下出现的薄流体结构时，多相方案的稳健性得到了强调。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical & Computational Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

自引率

10.50%

发文量

审稿时长

12 weeks

期刊介绍： Mathematical and Computational Applications (MCA) is devoted to original research in the field of engineering, natural sciences or social sciences where mathematical and/or computational techniques are necessary for solving specific problems. The aim of the journal is to provide a medium by which a wide range of experience can be exchanged among researchers from diverse fields such as engineering (electrical, mechanical, civil, industrial, aeronautical, nuclear etc.), natural sciences (physics, mathematics, chemistry, biology etc.) or social sciences (administrative sciences, economics, political sciences etc.). The papers may be theoretical where mathematics is used in a nontrivial way or computational or combination of both. Each paper submitted will be reviewed and only papers of highest quality that contain original ideas and research will be published. Papers containing only experimental techniques and abstract mathematics without any sign of application are discouraged.