Coordinate Systems, Numerical Objects and Algorithmic Operations of Computational Experiment in Fluid Mechanics

Article ID

WBS91

Coordinate Systems, Numerical Objects and Algorithmic Operations of Computational Experiment in Fluid Mechanics

Alexander V. Bogdanov
Alexander V. Bogdanov
Vasily Khramushin
Vasily Khramushin Saint Petersburg State University
DOI

Abstract

The paper deals with the computer implementation of direct computational experiments in fluid mechanics, constructed on the basis of the approach developed bythe authors. The proposed approach allows the use of explicit numerical scheme, whichis an important condition for increasing the efficiency of the algorithms developed by numerical procedures with natural parallelism. The paper examines the main objectsand operations that let you manage computational experiments and monitor the statusof the computation process. Special attention is given to a) realization of tensor representationsof numerical schemes for direct simulation; b) realization of representation of large particles of a continuous medium motion in two coordinate systems (global andmobile); c) computing operations in the projections of coordinate systems, direct and inversetransformation in these systems. Particular attention is paid to the use of hardware and software of modern computer systems.

Coordinate Systems, Numerical Objects and Algorithmic Operations of Computational Experiment in Fluid Mechanics

The paper deals with the computer implementation of direct computational experiments in fluid mechanics, constructed on the basis of the approach developed bythe authors. The proposed approach allows the use of explicit numerical scheme, whichis an important condition for increasing the efficiency of the algorithms developed by numerical procedures with natural parallelism. The paper examines the main objectsand operations that let you manage computational experiments and monitor the statusof the computation process. Special attention is given to a) realization of tensor representationsof numerical schemes for direct simulation; b) realization of representation of large particles of a continuous medium motion in two coordinate systems (global andmobile); c) computing operations in the projections of coordinate systems, direct and inversetransformation in these systems. Particular attention is paid to the use of hardware and software of modern computer systems.

Alexander V. Bogdanov
Alexander V. Bogdanov
Vasily Khramushin
Vasily Khramushin Saint Petersburg State University

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Vasily Khramushin. 2016. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 16 (GJSFR Volume 16 Issue F4): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Issue Cover
GJSFR Volume 16 Issue F4
Pg. 81- 86
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GJSFR-F Classification: MSC 2010: 00A69
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Coordinate Systems, Numerical Objects and Algorithmic Operations of Computational Experiment in Fluid Mechanics

Alexander V. Bogdanov
Alexander V. Bogdanov
Vasily Khramushin
Vasily Khramushin Saint Petersburg State University

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