Geodesic
Modeling of the incompressible liquid flow interaction with barriers using VOF and SPH methods
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 25 (2015) no. 3, pp. 405-420

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The paper considers the methods of modeling of the incompressible fluid flow interaction with barriers in Euler formulation (volume of fluid – VOF) and Lagrangian (smoothed particle hydrodynamics – SPH) description. By the example of solving the problems of motion of the fluid flow caused by the collapse of the initial liquid level (dam break problem), the authors estimate advantages and disadvantages of using the SPH method for the simulation of hydrodynamic loads, free-form surface and formation of drops. The influence of the specific numerical implementation of the Dirichlet boundary conditions on solid walls on both the pressure magnitude and its time behavior is determined. Numerical results obtained by the methods of VOF and SPH are compared with known experimental data.
Keywords: mathematical modeling, free surface, smoothed particle hydrodynamics – SPH, volume of fluid – VOF. 
@article{VUU_2015_25_3_a10,
     author = {S. P. Kopysov and L. E. Tonkov and A. A. Chernova and A. S. Sarmakeeva},
     title = {Modeling of the incompressible liquid flow interaction with barriers using {VOF} and {SPH} methods},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {405--420},
     publisher = {mathdoc},
     volume = {25},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2015_25_3_a10/}
}
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S. P. Kopysov; L. E. Tonkov; A. A. Chernova; A. S. Sarmakeeva. Modeling of the incompressible liquid flow interaction with barriers using VOF and SPH methods. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 25 (2015) no. 3, pp. 405-420. http://geodesic.mathdoc.fr/item/VUU_2015_25_3_a10/