Boundary integral-based domain decomposition technique for solution of Navier Stokes equations

Mai-Duy, N. and Tran-Cong, T. (2004) Boundary integral-based domain decomposition technique for solution of Navier Stokes equations. CMES: Computer Modeling in Engineering and Sciences, 6 (1). pp. 59-75. ISSN 1526-1492


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.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Permanent restricted access to Published version due to publisher copyright restrictions.
Faculty/School / Institute/Centre: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 30 Nov 2007 11:47
Last Modified: 03 Jul 2013 00:21
Uncontrolled Keywords: domain decomposition; viscous flow; standard boundary integral equation; hypersingular boundary integral equation
Fields of Research : ?? 103 ??
?? 102 ??
09 Engineering > 0915 Interdisciplinary Engineering > 091504 Fluidisation and Fluid Mechanics
08 Information and Computing Sciences > 0802 Computation Theory and Mathematics > 080205 Numerical Computation
09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI: 10.3970/cmes.2004.006.059

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