JCOMP-D-08-00029R1bezlogos.pdf (1.94 MB)
Iterated upwind schemes for gas dynamics
journal contribution
posted on 2009-01-20, 14:27 authored by Piotr K. Smolarkiewicz, Joanna SzmelterJoanna SzmelterA 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.
History
School
- Mechanical, Electrical and Manufacturing Engineering
Citation
SMOLARKIEWICZ, P.K. and SZMELTER, J., 2008. Iterated upwind schemes for gas dynamics. Journal of Computational Physics, 228 (1), pp. 33-54Publisher
© ElsevierVersion
- AM (Accepted Manuscript)
Publication date
2008Notes
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/00219991ISSN
0021-9991Language
- en