標題: A Coupled Immersed Interface and Level Set Method for Three-Dimensional Interfacial Flows with Insoluble Surfactant 作者: Xu, Jian-JunHuang, YunqingLai, Ming-ChihLi, Zhilin應用數學系Department of Applied Mathematics 關鍵字: 3D immersed interface method;level-set method;insoluble surfactant;Stokes interfacial flow;drop deformation 公開日期: 1-二月-2014 摘要: In this paper, a numerical method is presented for simulating the 3D interfacial flows with insoluble surfactant. The numerical scheme consists of a 3D immersed interface method (IIM) for solving Stokes equations with jumps across the interface and a 3D level-set method for solving the surfactant convection-diffusion equation along a moving and deforming interface. The 3D IIM Poisson solver modifies the one in the literature by assuming that the jump conditions of the solution and the flux are implicitly given at the grid points in a small neighborhood of the interface. This assumption is convenient in conjunction with the level-set techniques. It allows standard Lagrangian interpolation for quantities at the projection points on the interface. The interface jump relations are re-derived accordingly. A novel rotational procedure is given to generate smooth local coordinate systems and make effective interpolation. Numerical examples demonstrate that the IIM Poisson solver and the Stokes solver achieve second-order accuracy. A 3D drop with insoluble surfactant under shear flow is investigated numerically by studying the influences of different physical parameters on the drop deformation. URI: http://dx.doi.org/10.4208/cicp.241012.310513ahttp://hdl.handle.net/11536/23373 ISSN: 1815-2406 DOI: 10.4208/cicp.241012.310513a 期刊: COMMUNICATIONS IN COMPUTATIONAL PHYSICS Volume: 15 Issue: 2 起始頁: 451 結束頁: 469 顯示於類別： 期刊論文