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Sharp monotonic resolution of discontinuities without clipping of narrow extremaA strategy is presented for accurately simulating highly convective flows containing discontinuities such as density fronts or shock waves, without distorting smooth profiles or clipping narrow local extrema. The convection algorithm is based on non-artificially-diffusive third-order upwinding in smooth regions, with automatic adaptive stencil expansion to (in principle, arbitrarily) higher order upwinding locally, in regions of rapidly changing gradients. This is highly cost-effective because the wider stencil is used only where needed - in isolated narrow regions. A recently developed universal limiter assures sharp monotonic resolution of discontinuities without introducing artificial diffusion or numerical compression. An adaptive discriminator is constructed to distinguish between spurious overshoots and physical peaks; this automatically relaxes the limiter near local turning points, thereby avoiding loss of resolution in narrow extrema. Examples are given for one-dimensional pure convection of scalar profiles at constant velocity.
Document ID
19910037127
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Leonard, B. P.
(Akron Univ. Akron, OH, United States)
Niknafs, H. S.
(Akron, University OH, United States)
Date Acquired
August 15, 2013
Publication Date
January 1, 1991
Publication Information
Publication: Computers and Fluids
Volume: 19
Issue: 1 19
ISSN: 0045-7930
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
91A21750
Funding Number(s)
CONTRACT_GRANT: NASA ORDER C-99066-G
Distribution Limits
Public
Copyright
Other

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