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Cost-effective accurate coarse-grid method for highly convective multidimensional unsteady flowsA fundamentally multidimensional convection scheme is described based on vector transient interpolation modeling rewritten in conservative control-volume form. Vector third-order upwinding is used as the basis of the algorithm; this automatically introduces important cross-difference terms that are absent from schemes using component-wise one-dimensional formulas. Third-order phase accuracy is good; this is important for coarse-grid large-eddy or full simulation. Potential overshoots or undershoots are avoided by using a recently developed universal limiter. Higher order accuracy is obtained locally, where needed, by the cost-effective strategy of adaptive stencil expansion in a direction normal to each control-volume face; this is controlled by monitoring the absolute normal gradient and curvature across the face. Higher (than third) order cross-terms do not appear to be needed. Since the wider stencil is used only in isolated narrow regions (near discontinuities), extremely high (in this case, seventh) order accuracy can be achieved for little more than the cost of a globally third-order scheme.
Document ID
19910011762
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Leonard, B. P.
(Akron Univ. Akron, OH, United States)
Niknafs, H. S.
(Akron Univ. Akron, OH, United States)
Date Acquired
September 6, 2013
Publication Date
January 1, 1991
Publication Information
Publication: NASA, Lewis Research Center, Computational Fluid Dynamics Symposium on Aeropropulsion
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
91N21075
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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