A coupled grid based particle and implicit boundary integral method for two-phase flows with insoluble surfactant

JOURNAL OF COMPUTATIONAL PHYSICS

卷:395

Article

Hsu, Shih-Hsuan¹  Chu, Jay²  Lai, Ming-Chih¹  Tsai, Richard^3,4 

[1] Natl Chiao Tung Univ, Dept Appl Math, 1001 Ta Hsueh Rd, Hsinchu 30010, Taiwan

[2] Natl Tsing Hua Univ, Dept Math, 101 Sect 2 Kuang Fu Rd, Hsinchu, Taiwan

[3] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

[4] Univ Texas Austin, ICES, Austin, TX 78712 USA

关键词: Interfacial flow;    Insoluble surfactant;    Closest point extensions;    Grid based particle method;   

DOI  :  10.1016/j.jcp.2019.06.046

来源: Elsevier

【 摘 要 】

We develop a coupled grid based particle and implicit boundary integral method for simulation of three-dimensional interfacial flows with the presence of insoluble surfactant. The grid based particle method (GBPM, Leung and Zhao [20]) tracks the interface by the projection of the neighboring Eulerian grid points and does not require stitching of parameterizations nor body fitted moving meshes. Using this GBPM to represent the interface, the surfactant equation defined on the interface is discretized naturally following a new volumetric constant-along-surface-normal extension approach (Chu and Tsai [4]). We first examine the proposed scheme to solve the convection-diffusion equation for the problems with available analytical solutions. The numerical results demonstrate secondorder accuracy of the scheme. We then perform a series of simulations for interfacial flows with insoluble surfactant. The numerical results agree well with the theory, and are comparable with other numerical works in literature. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free