Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)


For citation:

Liverovskiy D. I., Shevirev S. P. Simulation of Incompressible Nonviscoussevere Fluid on a Regular Grid in Three-dimensional Space. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2014, vol. 14, iss. 3, pp. 335-340. DOI: 10.18500/1816-9791-2014-14-3-335-340, EDN: SMSJYD

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
10.09.2014
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Language: 
Russian
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UDC: 
533.6.011
EDN: 
SMSJYD

Simulation of Incompressible Nonviscoussevere Fluid on a Regular Grid in Three-dimensional Space

Autors: 
Liverovskiy Dmitrii Igorevich, Saratov State University
Shevirev Sergey Pavlovich, Saratov State University
Abstract: 

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.

References: 
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  2. Liverovskiy D. I., Shevirev S. P. Metod Davydova dlia sluchaia neszhimaemoi neviazkoi tiazheloi zhidkosti na reguliarnoi setke [Davydov’s method for a case of incompressible nonviscous heavy liquid on a regular grid]. Matematika. Mekhanika: sb. nauch. trudov, Saratov, Saratov Univ. Press, 2011, iss. 13, pp. 161–164 (in Russian).
  3. Potter D. Computational Physics. New York, John Wiley and Sons, 1973.
  4. Shevirev S. P. Issledovanie dvumernoi skhemy metoda krupnykh chastits na ustoichivost’ [Research of the twodimensional scheme of a method of large particles on stability]. Differentsial’nye uravneniia i teoriia funktsii v prilozhenii k aerodinamike i teorii veroiatnostei: mezhvuz. nauch. sb. [Differential equations and the theory of functions in the Annex to aerodynamics and the theory of probability: a collection of papers]. Saratov, Saratov Univ. Press, 1987, iss. 7, pp. 16–21 (in Russian). 
Received: 
15.03.2014
Accepted: 
11.07.2014
Published: 
10.09.2014