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Simulation of Incompressible Viscous Flows by Local DFD-Immersed Boundary Method

Published online by Cambridge University Press:  03 June 2015

Y. L. Wu ,
C. Shu  and
H. Ding
Y. L. Wu
Affiliation:
Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 117576
C. Shu*
Affiliation:
Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 117576
H. Ding
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui 230026, China
*
Corresponding author. URL: http://serve.me.nus.edu.sg/shuchang/, Email: mpeshuc@nus.edu.sg
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Abstract

A local domain-free discretization-immersed boundary method (DFD-IBM) is presented in this paper to solve incompressible Navier-Stokes equations in the primitive variable form. Like the conventional immersed boundary method (IBM), the local DFD-IBM solves the governing equations in the whole domain including exterior and interior of the immersed object. The effect of immersed boundary to the surrounding fluids is through the evaluation of velocity at interior and exterior dependent points. To be specific, the velocity at interior dependent points is computed by approximate forms of solution and the velocity at exterior dependent points is set to the wall velocity. As compared to the conventional IBM, the present approach accurately implements the non-slip boundary condition. As a result, there is no flow penetration, which is often appeared in the conventional IBM results. The present approach is validated by its application to simulate incompressible viscous flows around a circular cylinder. The obtained numerical results agree very well with the data in the literature.

Keywords

76 Fluid mechanics35 Partial differential equationsLocal domain free discretization (local DFD)immersed boundary method (IBM)incompressible flowflow past a circular cylinder
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 4 , Issue 3 , June 2012 , pp. 311 - 324
Copyright
Copyright © Global-Science Press 2012

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