Geodesic
Numerical simulation of propogation of the sound beams of finite amplitude in nonlinear dissipative medium
Matematičeskoe modelirovanie, Tome 26 (2014) no. 3, pp. 49-64

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

The paper is devoted to mathematical modeling of propagation of the sound beams of finite amplitude in nonlinear dissipative medium, as well as to the study of constructed discrete model. We used a method of splitting by physical processes. When constructing a discrete model, preference is given to monotone schemes. The effects of focusing in a nonlinear dissipative medium are researched.
Keywords: Khokhlov–Zabolotskaya–Kuznetsov equation, splitting scheme, the scheme with weights, a numerical experiment, the sound beam, nonlinearity, dissipation.
Mots-clés : diffraction 
@article{MM_2014_26_3_a3,
     author = {O. A. Savitsky and T. A. Chistyakova},
     title = {Numerical simulation of propogation of the sound beams of finite amplitude in nonlinear dissipative medium},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {49--64},
     publisher = {mathdoc},
     volume = {26},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2014_26_3_a3/}
}
TY  - JOUR
AU  - O. A. Savitsky
AU  - T. A. Chistyakova
TI  - Numerical simulation of propogation of the sound beams of finite amplitude in nonlinear dissipative medium
JO  - Matematičeskoe modelirovanie
PY  - 2014
SP  - 49
EP  - 64
VL  - 26
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2014_26_3_a3/
LA  - ru
ID  - MM_2014_26_3_a3
ER  - 
%0 Journal Article
%A O. A. Savitsky
%A T. A. Chistyakova
%T Numerical simulation of propogation of the sound beams of finite amplitude in nonlinear dissipative medium
%J Matematičeskoe modelirovanie
%D 2014
%P 49-64
%V 26
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2014_26_3_a3/
%G ru
%F MM_2014_26_3_a3
O. A. Savitsky; T. A. Chistyakova. Numerical simulation of propogation of the sound beams of finite amplitude in nonlinear dissipative medium. Matematičeskoe modelirovanie, Tome 26 (2014) no. 3, pp. 49-64. http://geodesic.mathdoc.fr/item/MM_2014_26_3_a3/