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