Geodesic
Simulation of Incompressible Nonviscoussevere Fluid on a Regular Grid in Three-dimensional Space
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 3, pp. 335-340 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

This study focuses on modification of the method of Davydov (large particles) in the case of incompressible liquid. We consider the simulation of a heavy incompressible nonviscous fluid by Davydov's modified method in a three-dimensional case. Besides, comparison of the received results with a two-dimensional case is carried out. Formulas of modified Davydovs's method for the case of three spatial dimensions are lead out including difference analogue of the three-dimensional Poisson equation for the pressure. The criterion of stability is generalized. The description of the algorithm for constructing a three-dimensional free surface is provided. Implemented a three-dimensional computer graphics, showing development processes in online mode. 
@article{ISU_2014_14_3_a13,
     author = {D. I. Liverovskiy and S. P. Shevirev},
     title = {Simulation of {Incompressible} {Nonviscoussevere} {Fluid} on a {Regular} {Grid} {in~Three-dimensional} {Space}},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {335--340},
     year = {2014},
     volume = {14},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2014_14_3_a13/}
}
TY  - JOUR
AU  - D. I. Liverovskiy
AU  - S. P. Shevirev
TI  - Simulation of Incompressible Nonviscoussevere Fluid on a Regular Grid in Three-dimensional Space
JO  - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
PY  - 2014
SP  - 335
EP  - 340
VL  - 14
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/ISU_2014_14_3_a13/
LA  - ru
ID  - ISU_2014_14_3_a13
ER  - 
%0 Journal Article
%A D. I. Liverovskiy
%A S. P. Shevirev
%T Simulation of Incompressible Nonviscoussevere Fluid on a Regular Grid in Three-dimensional Space
%J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
%D 2014
%P 335-340
%V 14
%N 3
%U http://geodesic.mathdoc.fr/item/ISU_2014_14_3_a13/
%G ru
%F ISU_2014_14_3_a13
D. I. Liverovskiy; S. P. Shevirev. Simulation of Incompressible Nonviscoussevere Fluid on a Regular Grid in Three-dimensional Space. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 3, pp. 335-340. http://geodesic.mathdoc.fr/item/ISU_2014_14_3_a13/

[1] Belotserkovskii O. M., Davydov Yu. M., Method of coarse particles in gas dynamics, Nauka, M., 1972, 392 pp. (in Russian)

[2] Liverovskiy D. I., Shevirev S. P., “Davydov's method for a case of incompressible nonviscous heavy liquid on a regular grid”, sb. nauch. trudov, Matematika. Mekhanika, 13, Saratov Univ. Press, Saratov, 2011, 161–164 (in Russian)

[3] Potter D., Computational Physics, John Wiley and Sons, New York, 1973 | MR | Zbl

[4] Shevirev S. P., “Research of the two-dimensional scheme of a method of large particles on stability”, a collection of papers, Differential equations and the theory of functions in the Annex to aerodynamics and the theory of probability, 7, Saratov Univ. Press, Saratov, 1987, 16–21 (in Russian)