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Implicit TVD schemes for hyperbolic conservation laws in curvilinear coordinatesThe Harten (1983, 1984) total variation-diminishing (TVD) schemes, constituting a one-parameter explicit and implicit, second-order-accurate family, have the property of not generating spurious oscillations when applied to one-dimensional, nonlinear scalar hyperbolic conservation laws and constant coefficient hyperbolic systems. These methods are presently extended to the multidimensional hyperbolic conservation laws in curvilinear coordinates. Means by which to linearize the implicit operator and solution strategies, in order to improve the computation efficiency of the implicit algorithm, are discussed. Numerical experiments with steady state airfoil calculations indicate that the proposed linearized implicit TVD schemes are accurate and robust.
Document ID
19850058797
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Yee, H. C.
(NASA Ames Research Center Moffett Field, CA, United States)
Harten, A.
(Tel Aviv University Israel; California, University, Los Angeles, United States)
Date Acquired
August 12, 2013
Publication Date
January 1, 1985
Subject Category
Aerodynamics
Report/Patent Number
AIAA PAPER 85-1513
Meeting Information
Meeting: Computational Fluid Dynamics Conference
Location: Cincinnati, OH
Start Date: July 15, 1985
End Date: July 17, 1985
Accession Number
85A40948
Distribution Limits
Public
Copyright
Other

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