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An Immersed interface Method for the Simulation of inextensible interfaces in Viscous Fluids

Communications in Computational Physics 2012年第3期11卷 925-950页

作者： Zhijun Tan D.V.Le K.M.Lim B.C.Khoo Guangdong Province Key Laboratory of Computational Science&School of Mathematics and Computational Science Sun Yat-senUniversityGuangzhou 510275China Institute of High Performance Computing 1 Fusionopolis Way#16-16 ConnexisSingapore 138632Singapore Singapore-MIT Alliance 4 Engineering Drive 3National University of SingaporeSingapore 117576Singapore Department of Mechanical Engineering National University of Singapore10 Kent Ridge CrescentSingapore 119260Singapore

In this paper,an immersed interface method is presented to simulate the dynamics of inextensible interfaces in an incompressible *** tension is introduced as an augmented variable to satisfy the constraint of interface inextensibility,and the resulting augmented system is solved by the GMRES *** this work,the arclength of the interface is locally and globally conserved as the enclosed region undergoes *** forces at the interface are calculated from the configuration of the interface and the computed augmented variable,and then applied to the fluid through the related jump *** governing equations are discretized on a MAC grid via a second-order finite difference scheme which incorporates jump contributions and solved by the conjugate gradient Uzawa-type *** proposed method is applied to several examples including the deformation of a liquid capsule with inextensible interfaces in a shear *** results reveal that both the area enclosed by interface and arclength of interface are conserved well *** provide further evidence on the capability of the present method to simulate incompressible flows involving inextensible interfaces.

关键词： inextensible interface Stokes flows singular force immersed interface method CGUzawa method front tracking

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