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• W1982396064 abstract "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 an 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." @default.
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• W1982396064 date "1997-05-01" @default.
• W1982396064 modified "2023-10-17" @default.
• W1982396064 title "Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension" @default.
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• W1982396064 doi "https://doi.org/10.1137/s1064827595282532" @default.
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