Correction of an unstructured Lagrangian mesh by imposing differentiable constraints
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 8, pp. 1484-1497 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Complex gasdynamics calculations of vortex and jet flows with large deformations in the Lagrangian coordinates are impossible without correction of a computational mesh. This is especially important for three-dimensional problems when a computational mesh can be distorted in three directions.
@article{ZVMMF_2005_45_8_a11,
     author = {I. G. Novikov and A. I. Panov and S. S. Sokolov},
     title = {Correction of an unstructured {Lagrangian} mesh by imposing differentiable constraints},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1484--1497},
     year = {2005},
     volume = {45},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_8_a11/}
}
TY  - JOUR
AU  - I. G. Novikov
AU  - A. I. Panov
AU  - S. S. Sokolov
TI  - Correction of an unstructured Lagrangian mesh by imposing differentiable constraints
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2005
SP  - 1484
EP  - 1497
VL  - 45
IS  - 8
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_8_a11/
LA  - ru
ID  - ZVMMF_2005_45_8_a11
ER  - 
%0 Journal Article
%A I. G. Novikov
%A A. I. Panov
%A S. S. Sokolov
%T Correction of an unstructured Lagrangian mesh by imposing differentiable constraints
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2005
%P 1484-1497
%V 45
%N 8
%U http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_8_a11/
%G ru
%F ZVMMF_2005_45_8_a11
I. G. Novikov; A. I. Panov; S. S. Sokolov. Correction of an unstructured Lagrangian mesh by imposing differentiable constraints. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 8, pp. 1484-1497. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_8_a11/

[1] Anuchina H. H., Babenko K. I., Godunov S. K. i dr., Teoreticheskie osnovy i konstruirovanie chislennykh algoritmov zadach matematicheskoi fiziki, Nauka, M., 1979 | MR | Zbl

[2] Artemev Yu. A., Aseeva V. V., Gorev I. V. i dr., “Kompleks programm dlya chislennogo modelirovaniya bezopasnosti podzemnykh atomnykh stantsii”, Ispolzovanie podzemnogo prostranstva dlya povysheniya bezopasnosti yadernoi energetiki, Materialy mezhdunar. konf. (Apatity, oktyabr, 1992)

[3] Sofronov I. D., Rasskazova V. V., Nesterenko L. V., “The use of nonregular nest for solving two-dimension nonstationary problems in gas dynamics”, Numer. Methods in Fluids in Fluid Dynamics, eds. N. N. Yanenko, Yu. I. Shokin, Mir Publishers, M., 1984, 82–121 | MR

[4] Bondarenko Yu. A., Vinokurov O. A., “Primenenie variatsionnykh printsipov mekhaniki dlya postroeniya diskretnykh po vremeni raznostnykh modelei gazodinamiki. Ispolzovanie golonomnykh svyazei dlya podderzhaniya kachestva lagranzhevykh raznostnykh setok”, Vopr. atomnoi nauki i tekhn. Ser. Metodiki i programmy chisl. resheniya zadach matem. fiz., 1988, no. 2, 29–39 | MR

[5] Sedov L. I., Metody podobiya i razmernosti v mekhanike, Fizmatgiz, M., 1962

[6] Kompaneets A. S., “Tochechnyi vzryv v neodnorodnoi atmosfere”, Dokl. AN SSSR, 130:5 (1960) | Zbl