Newton-like Methods for Fast High Resolution Simulation of Hypersonic Viscous Flow. G.U. Aero Report 9228

Qin, N., Xu, X. and Richards, B.E. (1992) Newton-like Methods for Fast High Resolution Simulation of Hypersonic Viscous Flow. G.U. Aero Report 9228. Technical Report. Department of Aerospace Engineering, University of Glasgow.

Abstract

Two Newton-like methods, i.e. the sparse finite difference Newton method and the sparse quasi-Newton method, are applied to the Navier-Stokes solutions of hypersonic flows using the Osher flux difference splitting high resolution scheme. The resulting large block structured sparse linear system is solved by a new multilevel iterative solver, the ct-GMRES method, which includes a preconditioner and a damping factor. The algorithm is demonstrated to provide fast, accurate solutions of the hypersonic flow over a cone at high angle of attack. Being parallelisable on distributed memory multiprocessors and having an ability to tackle highly non-linear problems, it has great promise in tackling more complex practical air vehicle configurations. As a by-product of using the GMRES method, in which Hessenberg matrices are generated, the eigenvalues of the linear system can be estimated using the Amoldi method. The spectra produced provide some insight into the behaviour of the GMRES method for different linear systems corresponding to different preconditioning and damping.

• Item Type: Research Reports or Papers (Technical Report)
• Status: Published
• Glasgow Author(s) Enlighten ID: Richards, Prof Bryan
• Authors: Qin, N., Xu, X., and Richards, B.E.
• College/School: College of Science and Engineering > School of Engineering > Autonomous Systems and Connectivity
• Publisher: Department of Aerospace Engineering, University of Glasgow
• Copyright Holders: Copyright © 1992 Department of Aerospace Engineering, University of Glasgow
• Publisher Policy: Reproduced with the permission of the Department