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A split finite element algorithm for the compressible Navier-Stokes equationsAn accurate and efficient numerical solution algorithm is established for solution of the high Reynolds number limit of the Navier-Stokes equations governing the multidimensional flow of a compressible essentially inviscid fluid. Finite element interpolation theory is used within a dissipative formulation established using Galerkin criteria within the Method of Weighted Residuals. An implicit iterative solution algorithm is developed, employing tensor product bases within a fractional steps integration procedure, that significantly enhances solution economy concurrent with sharply reduced computer hardware demands. The algorithm is evaluated for resolution of steep field gradients and coarse grid accuracy using both linear and quadratic tensor product interpolation bases. Numerical solutions for linear and nonlinear, one, two and three dimensional examples confirm and extend the linearized theoretical analyses, and results are compared to competitive finite difference derived algorithms.
Document ID
19790019292
Acquisition Source
Legacy CDMS
Document Type
Other
Authors
Baker, A. J.
(Tennessee Univ. Knoxville, TN, United States)
Date Acquired
September 3, 2013
Publication Date
July 18, 1979
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
79N27463
Funding Number(s)
CONTRACT_GRANT: NSG-1529
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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