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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 20
ADVANCES IN PARALLEL AND VECTOR PROCESSING FOR STRUCTURAL MECHANICS
Edited by: B.H.V. Topping and M. Papadrakakis
Paper IV.1

Combined Domain Decomposition-Fictitious Domain Method with Lagrange Multipliers for the Unsteady Navier Stokes Equations

R. Glowinski*, T.W. Pan* and J. Periaux#

*Department of Mathematics, University of Houston, Houston, United States of America
#Dassault Aviation, Saint Cloud, France

Full Bibliographic Reference for this paper
R. Glowinski, T.W. Pan, J. Periaux, "Combined Domain Decomposition-Fictitious Domain Method with Lagrange Multipliers for the Unsteady Navier Stokes Equations", in B.H.V. Topping, M. Papadrakakis, (Editors), "Advances in Parallel and Vector Processing for Structural Mechanics", Civil-Comp Press, Edinburgh, UK, pp 119-126, 1994. doi:10.4203/ccp.20.4.1
Abstract
We at first address the numerical solution of some class of elliptic problems by a combination of domain decomposition and fictitious domain methods. Due to the fact that the Steklov-Poincare operators associated with the subdomain interfaces and with the fictitious domain treatment of internal boundaries have very similar properties; we derive fast solution methods of conjugate gradient type with good parallelization properties which enforce simultaneously the matching at the subdomain interfaces and the actual boundary conditions. Numerical results obtained on a KSR machine are presented. A similar methodology has been applied to simulate incompressible viscous flows past oscillating airfoils. Preliminary results for flow past a pitching airfoil are also presented.

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