A class of monotone interpolation schemes

Journal Article · Sat Aug 01 00:00:00 EDT 1992 · Journal of Computational Physics; (United States)

DOI:https://doi.org/10.1016/0021-9991(92)90018-T· OSTI ID:6903120

Smolarkiewicz, P K; Grell, G A ^[1]

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1. NCAR, Boulder, CO (United States)

The present class of nonoscillatory interpolation schemes applicable to CFD problems is derived from the flux-corrected transport finite-difference advection schemes. It is shown that any known dissipative advection scheme is implementable as an interpolation scheme which retains the formal accuracy of the advection scheme and furnishes the monotonicity of the interpolated variable. The class of interpolators derived encompass schemes with varying levels of accuracy, efficiency, and complexity, as illustrated by idealized examples and applications to atmospheric fluid-dynamics problems. 28 refs.

• OSTI ID: 6903120
• Journal Information: Journal of Computational Physics; (United States), Journal Name: Journal of Computational Physics; (United States) Vol. 101:2; ISSN 0021-9991; ISSN JCTPAH
• Country of Publication: United States
• Language: English

Related Subjects

54 ENVIRONMENTAL SCIENCES
540110*
ADVECTION
ATMOSPHERIC CIRCULATION
CALCULATION METHODS
EARTH ATMOSPHERE
FINITE DIFFERENCE METHOD
FLUID MECHANICS
INTERPOLATION
ITERATIVE METHODS
MASS TRANSFER
MECHANICS
NUMERICAL SOLUTION