Immersed interface methods for Stokes flow with elastic boundaries or surface tension

被引:364
作者
Leveque, RJ
Li, ZL
机构
[1] UNIV WASHINGTON,DEPT MATH APPL,SEATTLE,WA 98195
[2] MISSISSIPPI STATE UNIV,DEPT MATH & STAT,MISSISSIPPI STATE,MS 39762
关键词
Stokes flow; creeping flow; interface tracking; discontinuous coefficients; immersed interface methods; Cartesian grids; bubbles;
D O I
10.1137/S1064827595282532
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A second-order accurate interface tracking method for the solution of incompressible Stokes flow problems with moving interfaces on a uniform Cartesian grid is presented. The interface may consist of an elastic boundary immersed in the fluid or san interface between two different fluids. The interface is represented by a cubic spline along which the singularly supported elastic or surface tension force can be computed. The Stokes equations are then discretized using the second-order accurate finite difference methods for elliptic equations with singular sources developed in our previous paper [SIAM J. Numer. Anal., 31(1994), pp. 1019-1044]. The resulting velocities are interpolated to the interface to determine the motion of the interface. An implicit quasi-Newton method is developed that allows reasonable time steps to be used.
引用
收藏
页码:709 / 735
页数:27
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