Generalization of the hybrid monotone second-order finite difference scheme for gas dynamics equations to the case of unstructured 3D grid

A generalization of the explicit hybrid monotone second-order finite difference scheme for the use on unstructured 3D grids is proposed. In this scheme, the components of the momentum density in the Cartesian coordinates are used as the working variables; the scheme is conservative. Numerical result...

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Bibliographic Details
Published in:Computational mathematics and mathematical physics 2010-05, Vol.50 (5), p.877-889
Main Authors: Mingalev, V. S., Mingalev, I. V., Mingalev, O. V., Oparin, A. M., Orlov, K. G.
Format: Article
Language:English
Subjects:
Approximation
Circulation
Computational mathematics
Computational Mathematics and Numerical Analysis
Coordinates
Density
Fluid dynamics
Gas dynamics
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Moon
Numerical analysis
Studies
Three dimensional
Topological manifolds
Viscosity
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Summary:A generalization of the explicit hybrid monotone second-order finite difference scheme for the use on unstructured 3D grids is proposed. In this scheme, the components of the momentum density in the Cartesian coordinates are used as the working variables; the scheme is conservative. Numerical results obtained using an implementation of the proposed solution procedure on an unstructured 3D grid in a spherical layer in the model of the global circulation of the Titan’s (a Saturn’s moon) atmosphere are presented.
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542510050118