Document Type

Article

Publication Date

1979

DOI

10.1016/0022-247x(79)90140-9

Publication Title

Journal of Mathematical Analysis and Applications

Volume

68

Issue

2

Pages

599-604

Abstract

(First paragraph) Customarily one does not impose n-th order boundary conditions on the solution of initial/boundary value problems whose characterizing partial differential equations are also n-th order. However, conjecture that such problems are not well-posed, or that a solution might not exist, is not always justified [l]. Perhaps a physically more natural example is provided by problems of computational fluid dynamics. Here boundary conditions which correctly should be applied at an infinite distance downstream from the region of interest are for computational convenience often applied at a finite location [2]. Results of numerical experimentation on viscous flows governed by the Navier-Stokes equations indicate that downstream continuation achieved by applying a second derivative boundary condition at a finite location often provides the least restrictive method of closing the flow [3].

Comments

Elsevier open archive. Copyright © 1979 Published by Elsevier Inc. All rights rserved.

Original Publication Citation

Cooke, C. H. (1979). Sufficiency of a numerical downstream continuation. Journal of Mathematical Analysis and Applications, 68(2), 599-604. doi:10.1016/0022-247x(79)90140-9

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