Grid construction for discretely defined configurations

An important element of global software codes for computing real-life three-dimensional problems with singularities (such as boundary and internal layers, shocks, detonation waves, combustion fronts, high-speed jets, and phase transition zones) is automatic adaptive grid generation, which can consid...

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Bibliographic Details
Published in:Computational mathematics and mathematical physics 2013-06, Vol.53 (6), p.759-765
Main Authors: Kofanov, A. V., Liseikin, V. D.
Format: Article
Language:English
Subjects:
Algorithms
Boundaries
Combustion
Computation
Computational mathematics
Computational Mathematics and Numerical Analysis
Computer programs
Coordinate transformations
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Monitors
Partial differential equations
Phase transitions
Studies
Three dimensional
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Summary:An important element of global software codes for computing real-life three-dimensional problems with singularities (such as boundary and internal layers, shocks, detonation waves, combustion fronts, high-speed jets, and phase transition zones) is automatic adaptive grid generation, which can considerably enhance the efficiency of computer resource management. In three-dimensional domains with boundaries of complex geometry, in particular, with discretely defined boundaries, adaptive grids are generated by applying inverted Beltrami and diffusion equations for a spherical monitor tensor.
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542513060109