✦ LIBER ✦

ROBUST NUMERICAL METHODS FOR TRANSONIC FLOWS

✍ Scribed by HONG JIANG; PETER A. FORSYTH

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 348 KB
Volume: 24
Category: Article
ISSN: 0271-2091
DOI: 10.1002/(sici)1097-0363(19970315)24:5<457::aid-fld504>3.0.co;2-i

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✦ Synopsis

In this paper, numerical methods for solving the transonic full potential equation are developed. The governing equation is discretized by a flux-biasing finite volume method. The resulting non-linear algebraic system is solved by using a continuation method with full Newton iteration. The continuation method is based on solving a highly 'upstream-weighted' discretization and then gradually reducing the upstream weighting. A general PCGlike sparse matrix iterative solver is used to solve the Jacobians at each non-linear step. Various types of incomplete LU (ILU) preconditioners and ordering techniques are compared. Numerical results are presented to demonstrate that these methods are efficient and robust for solving the transonic potential equation in the workstation computing environment.

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