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A globally well-posed finite element algorithm for aerodynamics applicationsA finite element CFD algorithm is developed for Euler and Navier-Stokes aerodynamic applications. For the linear basis, the resultant approximation is at least second-order-accurate in time and space for synergistic use of three procedures: (1) a Taylor weak statement, which provides for derivation of companion conservation law systems with embedded dispersion-error control mechanisms; (2) a stiffly stable second-order-accurate implicit Rosenbrock-Runge-Kutta temporal algorithm; and (3) a matrix tensor product factorization that permits efficient numerical linear algebra handling of the terminal large-matrix statement. Thorough analyses are presented regarding well-posed boundary conditions for inviscid and viscous flow specifications. Numerical solutions are generated and compared for critical evaluation of quasi-one- and two-dimensional Euler and Navier-Stokes benchmark test problems.
Document ID
19910044391
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Iannelli, G. S. (Tennessee Univ. Knoxville, TN, United States)
Baker, A. J. (Tennessee, University Knoxville, United States)
Date Acquired
August 14, 2013
Publication Date
March 1, 1991
Publication Information
Publication: International Journal for Numerical Methods in Fluids
Volume: 12
ISSN: 0271-2091
Subject Category
AERODYNAMICS
Funding Number(s)
CONTRACT_GRANT: NAS2-12568
Distribution Limits
Public
Copyright
Other