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A spectral multidomain method for the solution of hyperbolic systemsA multidomain Chebyshev spectral collocation method for solving hyperbolic partial differential equations were developed. Though spectral methods are global methods, an attractive idea is to break a computational domain into several domains, and a way to handle the interfaces is described. The multidomain approach offers advantages over the use of a single Chebyshev grid. It allows complex geometries to be covered, and local refinement can be used to resolve important features. For steady state problems it reduces the stiffness associated with the use of explicit time integration as a relaxation scheme. Furthermore, the proposed method remains spectrally accurate. Results showing performance of the method on one dimensional linear models and one and two dimensional nonlinear gas dynamics problems are presented.
Document ID
19860017518
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Kopriva, D. (NASA Langley Research Center Hampton, VA, United States)
Date Acquired
September 5, 2013
Publication Date
May 1, 1986
Subject Category
Numerical Analysis
Report/Patent Number
ICASE-86-28
NAS 1.26:178105
NASA-CR-178105
Accession Number
86N26990
Funding Number(s)
PROJECT: RTOP 505-31-83-01
CONTRACT_GRANT: NAS1-18107
CONTRACT_GRANT: NAS1-17070
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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