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ROBUST NUMERICAL METHODS FOR TRANSONIC FLOWS
Author(s) -
JIANG HONG,
FORSYTH PETER A.
Publication year - 1997
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19970315)24:5<457::aid-fld504>3.0.co;2-i
Subject(s) - transonic , solver , discretization , mathematics , numerical analysis , iterative method , finite volume method , newton's method , weighting , mathematical optimization , computer science , nonlinear system , mathematical analysis , aerodynamics , physics , mechanics , quantum mechanics , acoustics
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 PCG‐like 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. © 1997 by John Wiley & Sons, Ltd.