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Nonlinear grid error effects on numerical solution of partial differential equationsFinite difference solutions of nonlinear partial differential equations require discretizations and consequently grid errors are generated. These errors strongly affect stability and convergence properties of difference models. Previously such errors were analyzed by linearizing the difference equations for solutions. Properties of mappings of decadence were used to analyze nonlinear instabilities. Such an analysis is directly affected by initial/boundary conditions. An algorithm was developed, applied to nonlinear Burgers equations, and verified computationally. A preliminary test shows that Navier-Stokes equations may be treated similarly.
Document ID
19810006190
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Dey, S. K.
(University of Eastern Illinois Charleston, IL, United States)
Date Acquired
August 11, 2013
Publication Date
January 1, 1980
Publication Information
Publication: NASA. Langley Research Center Numerical Grid Generation Tech.
Subject Category
Numerical Analysis
Accession Number
81N14704
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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