Please use this identifier to cite or link to this item:
Title: A stream function-vorticity formulation-based immersed boundary method and its applications
Authors: Ren, W.W.
Wu, J.
Shu, C. 
Yang, W.M. 
Keywords: Immersed boundary
Incompressible flow
Velocity correction
Vorticity correction
Vorticity-stream function
Issue Date: 20-Oct-2012
Citation: Ren, W.W., Wu, J., Shu, C., Yang, W.M. (2012-10-20). A stream function-vorticity formulation-based immersed boundary method and its applications. International Journal for Numerical Methods in Fluids 70 (5) : 627-645. ScholarBank@NUS Repository.
Abstract: A new stream function-vorticity formulation-based immersed boundary method is presented in this paper. Different from the conventional immersed boundary method, the main feature of the present model is to accurately satisfy both governing equations and boundary conditions through velocity correction and vorticity correction procedures. The velocity correction process is performed implicitly based on the requirement that velocity at the immersed boundary interpolated from the corrected velocity field accurately satisfies the nonslip boundary condition. The vorticity correction is made through the stream function formulation rather than the vorticity transport equation. It is evaluated from the firstorder derivatives of velocity correction. Two simple and efficient ways are presented for approximation of velocity-correction derivatives. One is based on finite difference approximation, while the other is based on derivative expressions of Dirac delta function and velocity correction. It was found that both ways can work very well. The main advantage of the proposed method lies in its simple concept, easy implementation, and robustness in stability. Numerical experiments for both stationary and moving boundary problems were conducted to validate the capability and efficiency of the present method. Good agreements with available data in the literature were achieved. © 2011 John Wiley & Sons, Ltd.
Source Title: International Journal for Numerical Methods in Fluids
ISSN: 02712091
DOI: 10.1002/fld.2705
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.


checked on Feb 11, 2019


checked on Feb 11, 2019

Page view(s)

checked on Jan 12, 2019

Google ScholarTM



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.