Solution of the Unsteady Euler Equations in Three Dimensions Using a Fully Unfactored Method. Aerospace Engineering Report 9909

Badcock, K., Woodgate, M., Cantariti, F. and Richards, B. (1999) Solution of the Unsteady Euler Equations in Three Dimensions Using a Fully Unfactored Method. Aerospace Engineering Report 9909. Technical Report. Department of Aerospace Engineering, University of Glasgow.

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Abstract

An unfactored implicit time-marching method for the solution of the unsteady three dimensional Euler equations is presented. For robustness the convective terms are discretised using an upwind TVD scheme while the unsteady equations are discretised using the implicit pseudo time approach. The pseudo steady state problem is solved using an unfactored implicit method. The linear system arising from each pseudo time step is solved using a Krylov subspace method with preconditioning based on a block incomplete lower-upper (BILU(0)) factorisation. The method in parallel yields high efficiency. Results are shown for unsteady forced pitched WEAG-TA15, LANN and F5 wings to illustrate the efficient performance of the method and the fast calculation times achieved on a PC.

Item Type:Research Reports or Papers (Technical Report)
Status:Published
Glasgow Author(s) Enlighten ID:Woodgate, Dr Mark and Richards, Professor Bryan
Authors: Badcock, K., Woodgate, M., Cantariti, F., and Richards, B.
College/School:College of Science and Engineering > School of Engineering > Aerospace Sciences
Publisher:Department of Aerospace Engineering, University of Glasgow
Copyright Holders:Copyright © 1999 Department of Aerospace Engineering, University of Glasgow
Publisher Policy:Reproduced with the permission of the Department

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