Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

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

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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

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

Liverovskiy Dmitrii Igorevich, Saratov State University
Shevirev Sergey Pavlovich, Saratov State University

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.

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