Boundary integral-based domain decomposition technique for solution of Navier Stokes equations
Article
Article Title | Boundary integral-based domain decomposition technique for solution of Navier Stokes equations |
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ERA Journal ID | 3460 |
Article Category | Article |
Authors | Mai-Duy, N. (Author) and Tran-Cong, T. (Author) |
Journal Title | CMES Computer Modeling in Engineering and Sciences |
Journal Citation | 6 (1), pp. 59-75 |
Number of Pages | 17 |
Year | 2004 |
Place of Publication | Duluth, GA. United States |
ISSN | 1526-1492 |
1526-1506 | |
Digital Object Identifier (DOI) | https://doi.org/10.3970/cmes.2004.006.059 |
Web Address (URL) | http://www.techscience.com/doi/10.3970/cmes.2004.006.059.pdf |
Abstract | This paper presents a new domain decomposition technique based on the use of Boundary Integral Equations (BIEs) for the analysis of viscous flow problems. The domain of interest is divided into a number of non-overlapping subdomains and an iterative procedure is then employed to update the boundary conditions at interfaces. The new feature in the present work is that at each iteration, the relevant two subdomains, together containing a particular interface, are assumed to satisfy the governing BI equations which they do at the end of a convergent iterative process. Hence the boundary conditions on such an interface can be updated using the interior point formulas. Updating formulas based on standard and hypersingular BIEs are derived and the final forms obtained are simple. Furthermore, the internal point formula can be used as a means to estimate the initial interface solution. The proposed method is verified in conjunction with the BEM through the simulation of Poiseuille, driven cavity and backward facing step viscous flows. |
Keywords | domain decomposition; viscous flow; standard boundary integral equation; hypersingular boundary integral equation |
ANZSRC Field of Research 2020 | 490399. Numerical and computational mathematics not elsewhere classified |
490199. Applied mathematics not elsewhere classified | |
401299. Fluid mechanics and thermal engineering not elsewhere classified | |
461399. Theory of computation not elsewhere classified | |
401706. Numerical modelling and mechanical characterisation | |
Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
Byline Affiliations | Department of Mechanical and Mechatronic Engineering |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q0670/boundary-integral-based-domain-decomposition-technique-for-solution-of-navier-stokes-equations
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