Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension
نویسندگان
چکیده
منابع مشابه
Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension
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 tensio...
متن کاملAn immersed interface method for Stokes flows with fixed/moving interfaces and rigid boundaries
Keywords: Incompressible Stokes equations Singular force Immersed interface method CG-Uzawa method Deformable interface Front tracking Irregular domains Rigid boundaries a b s t r a c t We present an immersed interface method for solving the incompressible steady Stokes equations involving fixed/moving interfaces and rigid boundaries (irregular domains). The fixed/moving interfaces and rigid bo...
متن کاملParametric Resonance in Immersed Elastic Boundaries
In this paper, we investigate the stability of a fluid-structure interaction problem in which a flexible elastic membrane immersed in a fluid is excited via periodic variations in the elastic stiffness parameter. This model can be viewed as a prototype for active biological tissues such as the basilar membrane in the inner ear, or heart muscle fibers immersed in blood. Problems such as this, in...
متن کاملA Simple Immersed Interface Method for the Stokes Flow with Singular Forces
In this paper, we introduce a simple version of immersed interface method (IIM) for the Stokes flow with singular forces along an interface. The numerical method is based on applying the Taylor’s expansions along the normal direction and incorporating the solution and its normal derivative jumps into the finite difference approximations. The numerical results show that the scheme is second-orde...
متن کاملUniform Error Estimates for Navier-stokes Flow with a Moving Boundary Using the Immersed Interface Method
We prove that uniform accuracy of almost second order can be achieved with a finite difference method applied to Navier-Stokes flow at low Reynolds number with a moving boundary, or interface, creating jumps in the velocity gradient and pressure. Difference operators are corrected to O(h) near the interface using the immersed interface method, adding terms related to the jumps, on a regular gri...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 1997
ISSN: 1064-8275,1095-7197
DOI: 10.1137/s1064827595282532