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

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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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     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},
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     number = {3},
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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/