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Title: Iterated upwind schemes for gas dynamics
Authors: Smolarkiewicz, Piotr K.
Szmelter, Joanna
Keywords: Upwind approximations
Compressible flows
Nonoscillatory forward-in-time schemes
Atmospheric acoustics
Secondary-application models
Issue Date: 2008
Publisher: © Elsevier
Citation: SMOLARKIEWICZ, P.K. and SZMELTER, J., 2008. Iterated upwind schemes for gas dynamics. Journal of Computational Physics, 228 (1), pp. 33-54
Abstract: A class of high-resolution schemes established in integration of anelastic equations is extended to fully compressible flows, and documented for unsteady (and steady) problems through a span of Mach numbers from zero to supersonic. The schemes stem from iterated upwind technology of the multidimensional positive definite advection transport algorithm (MPDATA). The derived algorithms employ standard and modified forms of the equations of gas dynamics for conservation of mass, momentum and either total or internal energy as well as potential temperature. Numerical examples from elementary wave-propagation, through computational aerodynamics benchmarks, to atmospheric small- and large-amplitude acoustics with intricate wave-flow interactions verify the approach for both structured and unstructured meshes, and demonstrate its flexibility and robustness.
Description: This article was published in the journal, Journal of Computational Physics [© Elsevier] and the definitive version is available at: http://www.sciencedirect.com/science/journal/00219991
Version: Accepted for publication
DOI: 10.1016/j.jcp.2008.08.008
URI: https://dspace.lboro.ac.uk/2134/4106
ISSN: 0021-9991
Appears in Collections:Published Articles (Mechanical, Electrical and Manufacturing Engineering)

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