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Generalized conjugate-gradient methods for the Navier-Stokes equationsA generalized conjugate-gradient method is used to solve the two-dimensional, compressible Navier-Stokes equations of fluid flow. The equations are discretized with an implicit, upwind finite-volume formulation. Preconditioning techniques are incorporated into the new solver to accelerate convergence of the overall iterative method. The superiority of the new solver is demonstrated by comparisons with a conventional line Gauss-Siedel Relaxation solver. Computational test results for transonic flow (trailing edge flow in a transonic turbine cascade) and hypersonic flow (M = 6.0 shock-on-shock phenoena on a cylindrical leading edge) are presented. When applied to the transonic cascade case, the new solver is 4.4 times faster in terms of number of iterations and 3.1 times faster in terms of CPU time than the Relaxation solver. For the hypersonic shock case, the new solver is 3.0 times faster in terms of number of iterations and 2.2 times faster in terms of CPU time than the Relaxation solver.
Document ID
19910056107
Document Type
Conference Paper
Authors
Ajmani, Kumud (Virginia Polytechnic Inst. and State Univ. Blacksburg, VA, United States)
Ng, Wing-Fai (Virginia Polytechnic Institute and State University Blacksburg, United States)
Liou, Meng-Sing (NASA Lewis Research Center Cleveland, OH, United States)
Date Acquired
August 15, 2013
Publication Date
January 1, 1991
Subject Category
AERODYNAMICS
Report/Patent Number
AIAA PAPER 91-1556
Meeting Information
AIAA Computational Fluid Dynamics Conference(Honolulu, HI)
Distribution Limits
Public
Copyright
Other