Geodesic
Development of parallel software for 3d tornado arising modeling by Nikolaevskiy theory
Matematičeskoe modelirovanie, Tome 20 (2008) no. 8, pp. 28-40 
A. I. Avetisyan; V. V. Babkova; S. S. Gaysaryan; A. Yu. Gubar. Development of parallel software for 3d tornado arising modeling by Nikolaevskiy theory. Matematičeskoe modelirovanie, Tome 20 (2008) no. 8, pp. 28-40. http://geodesic.mathdoc.fr/item/MM_2008_20_8_a2/
@article{MM_2008_20_8_a2,
     author = {A. I. Avetisyan and V. V. Babkova and S. S. Gaysaryan and A. Yu. Gubar},
     title = {Development of parallel software for 3d tornado arising modeling by {Nikolaevskiy} theory},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {28--40},
     year = {2008},
     volume = {20},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2008_20_8_a2/}
}
TY  - JOUR
AU  - A. I. Avetisyan
AU  - V. V. Babkova
AU  - S. S. Gaysaryan
AU  - A. Yu. Gubar
TI  - Development of parallel software for 3d tornado arising modeling by Nikolaevskiy theory
JO  - Matematičeskoe modelirovanie
PY  - 2008
SP  - 28
EP  - 40
VL  - 20
IS  - 8
UR  - http://geodesic.mathdoc.fr/item/MM_2008_20_8_a2/
LA  - ru
ID  - MM_2008_20_8_a2
ER  - 
%0 Journal Article
%A A. I. Avetisyan
%A V. V. Babkova
%A S. S. Gaysaryan
%A A. Yu. Gubar
%T Development of parallel software for 3d tornado arising modeling by Nikolaevskiy theory
%J Matematičeskoe modelirovanie
%D 2008
%P 28-40
%V 20
%N 8
%U http://geodesic.mathdoc.fr/item/MM_2008_20_8_a2/
%G ru
%F MM_2008_20_8_a2

Voir la notice de l'article provenant de la source Math-Net.Ru

The goal of the paper is development of a scalable parallel program calculating the numerical solution of the system of equations modeling the processes and origin conditions of intensive atmospheric vortices (IAV) in 3D compressible atmosphere according to the theory of mesovortice turbulence by Nikolaevskiy. Original system of non-linear equations, and its initial and boundary conditions are discussed, the choice of finite-difference scheme of accuracy needed is performed, the corresponding finite-difference system of equations, as well as limitations on its parameters are formulated. The structure of a parallel program for high performance cluster is developed. The problems concerning to optimization of the program in order to increase its scalability are studied. In summary the results of numerical computations are discussed.

[1] Nikolaevskiy V. N., Angular Momentum in Geophysical Turbulence: Continuum. Spatial Averaging Method, Kluwer (Springer), Dordrecht, 2003, 245 | Zbl

[2] Arsenev S. A., Gubar A. Yu., Nikolaevskii V. N., “Samoorganizatsiya tornado i uraganov v atmosfernykh techeniyakh s mezomasshtabnymi vikhryami”, DAN, 396:4 (2004), 541–546

[3] Monica S. Lam, Edward E. Rothberg and Michael E. Wolf, The Cache Performance and Optimizations of Blocked Algorithms, Computer Systems Laboratory, Stanford University, CA 94305

[4] Ivannikov V., Gaissaryan S., Avetisyan A., Padaryan V., “Improving properties of a parallel program in ParJava Environment”, The 10th EuroPVM/MPI conference. LNCS 2840 (Sept. 2003, Venice), 491–494

[5] Khrgian A. Kh., Fizika atmosfery, Izd-vo Moskovskogo Universiteta, M., 1986, 240

[6] Khain A. P., Sutyrin G. G., Tropicheskie tsiklony i ikh vzaimodeistvie s okeanom, Gidrometeoizdat, L., 1983, 272

[7] Emtsev B. T., Tekhnicheskaya gidromekhanika, Mashinostroenie, M., 1978, 463 pp.

[8] Samarskii A. A., Gulin A. V., Chislennye metody, Nauka, M., 1989, 432 pp. | MR

[9] Fletcher K., Vychislitelnye metody v dinamike zhidkostei, 2 t., Mir, M., 1991, 504–522 | MR

[10] Gilbert Anthony, “Tornado With a Measured Intensity of $T3$ at Hill Head”, Hampshire, 5 November 1999, J. Meteorol., 25:254 (2000), 361–367

[11] Vasilev V. A., Romanovskii Yu. M., Yakhno V. G., Avtovolnovye protsessy, Nauka, M., 1987, 240

[12] Posmentier E. S., Geophys. J. R. Astr. Soc., 13 (1967), 487–501

[13] Gubar A. Yu., Avetisyan A. I., Babkova V. V., “Vozniknovenie tornado: trekhmernaya chislennaya model v mezomasshtabnoi teorii turbulentnosti po Nikolaevskomu”, DAN, 419:4 (2008), 547–552 | Zbl

[14] Gubar A. Yu., Avetisyan A. I., Babkova V. V., Animatsiya rezultatov 3D modelirovaniya tornado v teorii MTN, http://www.AGubar.narod.ru