Geodesic
Simulation of body motion in viscous incompressible fluid
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 22 (2019) no. 3, pp. 261-280

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The description of a method for modeling the motion of bodies in a viscous incompressible fluid with the use of counting technology on grids with overlapping (“chimera” technology) is given. Equations describing the flow of a viscous incompressible fluid are approximated by the finite volume method on an arbitrary unstructured grid. Their iterative solution is implemented using the SIMPLE algorithm. The description of the basic equations in the case of grid motion is given in this paper. The features of realizing the conditions on the boundaries of the grid regions that are established during the construction of the interpolation template are described. A method for overcoming numerical instability in the use of a rigid body model is demonstrated. The feature of taking into account the forces of gravitation in the case of the presence of multiphase media is described. The results of solving the problem of the motion of a cylinder in a fluid, the problem of the drop of a sphere into a fluid, and the problem of the ship’s model flooding are presented. 
@article{SJVM_2019_22_3_a1,
     author = {A. S. Kozelkov and V. R. Efremov and A. A. Kurkin and N. V. Tarasova and D. A. Utkin and E. S. Tyatyushkina},
     title = {Simulation of body motion in viscous incompressible fluid},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {261--280},
     publisher = {mathdoc},
     volume = {22},
     number = {3},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2019_22_3_a1/}
}
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A. S. Kozelkov; V. R. Efremov; A. A. Kurkin; N. V. Tarasova; D. A. Utkin; E. S. Tyatyushkina. Simulation of body motion in viscous incompressible fluid. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 22 (2019) no. 3, pp. 261-280. http://geodesic.mathdoc.fr/item/SJVM_2019_22_3_a1/