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The numerical dynamic for highly nonlinear partial differential equationsProblems associated with the numerical computation of highly nonlinear equations in computational fluid dynamics are set forth and analyzed in terms of the potential ranges of spurious behaviors. A reaction-convection equation with a nonlinear source term is employed to evaluate the effects related to spatial and temporal discretizations. The discretization of the source term is described according to several methods, and the various techniques are shown to have a significant effect on the stability of the spurious solutions. Traditional linearized stability analyses cannot provide the level of confidence required for accurate fluid dynamics computations, and the incorporation of nonlinear analysis is proposed. Nonlinear analysis based on nonlinear dynamical systems complements the conventional linear approach and is valuable in the analysis of hypersonic aerodynamics and combustion phenomena.
Document ID
19920059190
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Lafon, A.
(ONERA Centre d'Etudes et de Recherches de Toulouse, France)
Yee, H. C.
(NASA Ames Research Center Moffett Field, CA, United States)
Date Acquired
August 15, 2013
Publication Date
January 1, 1992
Publication Information
Publication: Revue Scientifique et Technique de la Defense
Issue: 16, 2
ISSN: 0994-1541
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
92A41814
Distribution Limits
Public
Copyright
Other

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