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Comparison of Implicit Schemes for the Incompressible Navier-Stokes EquationsFor a computational flow simulation tool to be useful in a design environment, it must be very robust and efficient. To develop such a tool for incompressible flow applications, a number of different implicit schemes are compared for several two-dimensional flow problems in the current study. The schemes include Point-Jacobi relaxation, Gauss-Seidel line relaxation, incomplete lower-upper decomposition, and the generalized minimum residual method preconditioned with each of the three other schemes. The efficiency of the schemes is measured in terms of the computing time required to obtain a steady-state solution for the laminar flow over a backward-facing step, the flow over a NACA 4412 airfoil, and the flow over a three-element airfoil using overset grids. The flow solver used in the study is the INS2D code that solves the incompressible Navier-Stokes equations using the method of artificial compressibility and upwind differencing of the convective terms. The results show that the generalized minimum residual method preconditioned with the incomplete lower-upper factorization outperforms all other methods by at least a factor of 2.
Document ID
19980019572
Acquisition Source
Ames Research Center
Document Type
Technical Memorandum (TM)
Authors
Rogers, Stuart E. (NASA Ames Research Center Moffett Field, CA United States)
Date Acquired
September 6, 2013
Publication Date
November 1, 1995
Publication Information
Publication: AIAA Journal
Publisher: American Inst. of Aeronautics and Astronautics
Volume: 33
Issue: 11
Subject Category
Aerodynamics
Report/Patent Number
NAS 1.15:207299
NASA/TM-95-207299
AIAA Paper 95-0567
Report Number: NAS 1.15:207299
Report Number: NASA/TM-95-207299
Report Number: AIAA Paper 95-0567
Meeting Information
Meeting: Aerospace Sciences Meeting
Location: Reno, NV
Country: United States
Start Date: January 9, 1995
End Date: January 12, 1995
Sponsors: American Inst. of Aeronautics and Astronautics
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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