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Implicit Total Variation Diminishing (TVD) schemes for steady-state calculationsThe novel implicit and unconditionally stable, high resolution Total Variation Diminishing (TVD) scheme whose application to steady state calculations is presently examined is a member of a one-parameter family of implicit, second-order accurate systems developed by Harten (1983) for the computation of weak solutions for one-dimensional hyperbolic conservation laws. The scheme will not generate spurious oscillations for a nonlinear scalar equation and a constant coefficient system. Numerical experiments for a quasi-one-dimensional nozzle problem show that the experimentally determined stability limit correlates exactly with the theoretical stability limit for the nonlinear scalar hyberbolic conservation laws.
Document ID
19850046058
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Yee, H. C.
(NASA Ames Research Center Moffett Field, CA, United States)
Warming, R. F.
(NASA Ames Research Center Moffett Field, CA, United States)
Harten, A.
(Tel Aviv University Tel Aviv, Israel; New York University, New York, NY, United States)
Date Acquired
August 12, 2013
Publication Date
February 1, 1985
Publication Information
Publication: Journal of Computational Physics
Volume: 57
ISSN: 0021-9991
Subject Category
Aerodynamics
Accession Number
85A28209
Distribution Limits
Public
Copyright
Other

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