Immersed interface methods for Stokes flow with elastic boundaries or surface tension
Immersed interface methods for Stokes flow with elastic boundaries or surface tension
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DOI：
10.1137/s1064827595282532
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发表时间：
1997-05-01
影响因子：
3.1
通讯作者：
Li, ZL
中科院分区：
文献类型：
--
作者：
Leveque, RJ;Li, ZL
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.
