Actions for Discontinuous solutions to hyperbolic systems under operator splitting

Email RIS file
Bookmark
Report an Issue

Discontinuous solutions to hyperbolic systems under operator splitting

Author
Roe, P. L.
Published
Sep 1, 1987.
Physical Description
1 electronic document
Online Version

Availability

I Want It
I Want It

Finding items...

Restrictions on Access
Unclassified, Unlimited, Publicly available.
Free-to-read Unrestricted online access
Summary
Two-dimensional systems of linear hyperbolic equations are studied with regard to their behavior under a solution strategy that in alternate time-steps solves exactly the component one-dimensional operators. The initial data is a step function across an oblique discontinuity. The manner in which this discontinuity breaks up under repeated applications of the split operator is analyzed, and it is shown that the split solution will fail to match the true solution in any case where the two operators do not share all their eigenvectors. The special case of the fluid flow equations is analyzed in more detail, and it is shown that arbitrary initial data gives rise to pseudo acoustic waves and a non-physical stationary wave. The implications of these findings for the design of high-resolution computing schemes are discussed.
Other Subject(s)
Collection
NASA Technical Reports Server (NTRS) Collection.
Note
Document ID: 19870020352.
Accession ID: 87N29785.
ICASE-87-64.
NASA-CR-178375.
NAS 1.26:178375.
Terms of Use and Reproduction
No Copyright.
View MARC record | catkey: 15697288