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An Immersed Boundary Method Based on the Kinematic Relation of the Velocity-Vorticity Formulation

Published online by Cambridge University Press:  10 December 2014

I. Farahbakhsh ,
H. Ghassemi  and
F. Sabetghadam
I. Farahbakhsh
Affiliation:
Department of Ocean Engineering, Amirkabir University of Technology, Tehran, Iran
H. Ghassemi*
Affiliation:
Department of Ocean Engineering, Amirkabir University of Technology, Tehran, Iran
F. Sabetghadam
Affiliation:
Mechanical and Aerospace Engineering Department Science and Research Branch, Islamic Azad University, Tehran, Iran
*
*Corresponding author ([email protected])
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Abstract

An immersed boundary method is proposed for the simulation of the interaction of an incompressible flow with rigid bodies. The method is based on a new interpretation of velocity-vorticity formulation and no longer includes the force term which is an essential issue of common immersed boundary methods. The system is considered in an Eulerian frame and retrieving the vorticity in this formulation enforces continuity at the fluid-solid interface and rigid motion of the solid. The method focuses on the mutual kinematic relations between the velocity and vorticity fields and with retrieving the vorticity field and recalculating the velocities yields the solenoidal velocity field. The method is applied to the two dimensional problems and the results show that the solenoidality is satisfied acceptably. The comparisons with 2D test cases are provided to illustrate the capabilities of the proposed method.

Keywords

Velocity-vorticity formulationImmersed boundary methodIncompressible flowSolenoidal velocity field
Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 2 , April 2015 , pp. 171 - 181
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

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