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An MPDATA-based solver for compressible flows

✍ Scribed by Piotr K. Smolarkiewicz; Joanna Szmelter

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
330 KB
Volume
56
Category
Article
ISSN
0271-2091

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✦ Synopsis

Abstract

The theory of the high‐resolution multidimensional positive‐definite advection transport algorithm (MPDATA) has been extensively developed since its invention in the early eighties. Many successful applications for geophysical flows followed. This paper introduces the original development of an MPDATA solver operating on a classical set of conservation laws, applicable to high‐speed compressible flows. The solver belongs to a general class of the second‐order nonoscillatory forward‐in‐time schemes. Theoretical considerations are supported with numerical examples. An elementary three‐dimensional spherical wave‐propagation problem illustrates that MPDATA correctly captures signal transfer in acoustic flows. Copyright © 2007 John Wiley & Sons, Ltd.

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