Conservation Laws for the Solution of Systems of Differential Equations Governing CFD Problems with Moving Grids, and Fluid/Structure Interaction Problems
by
Charbel Farhat
University of Colorado at Boulder

The numerical solution of unsteady fluid-structure-thermal interaction problems arises in many scientific and engineering applications including, to name only a few, blood flow simulations, pipe and airfoil oscillations, flutter prediction, parachute dynamics, fighter tail buffeting, gate sliding, and heat transfer mitigation in gas turbines. In this talk, a general framework for the formulation, discretization, and high performance solution of the PDEs governing these multidisciplinary engineering problems is presented. In particular, recent advances in the formulation of conservation laws for: (a) the spatial semidiscretization of transmission boundary conditions across nonmatching discrete interfaces, (b) the temporal discretization of ODEs associated with the Navier-Stokes equations on unstructured moving grids, and (c) the numerical analysis of seggregated solvers for the solution of coupled systems of ODEs governing fluid/structure interaction problems, are discussed. The impact of these conservation laws on the performance of the solution of various aeroelasticity problems, including the stability analysis of the Tacoma Narrows Bridge, the flutter analysis of the AGARD Wing 445.6, and the maneuvering of a complete fighter configuration, is highlighted.

Date received: April 28, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacr-81.