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Russia Izhevsk
Section Mechanics
Title Modeling of the incompressible liquid flow interaction with barriers using VOF and SPH methods
Author(-s) Kopysov S.P.a, Tonkov L.E.a, Chernova A.A.a, Sarmakeeva A.S.a
Affiliations Institute of Mechanics, Ural Branch of the Russian Academy of Sciencesa
Abstract 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
UDC 519.63/532.5
MSC 76D27, 76M25
DOI 10.20537/vm150311
Received 29 June 2015
Language Russian
Citation Kopysov S.P., Tonkov L.E., Chernova A.A., Sarmakeeva A.S. Modeling of the incompressible liquid flow interaction with barriers using VOF and SPH methods, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2015, vol. 25, issue 3, pp. 405-420.
  1. Osher S., Sethian J.A. Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, 1988, vol. 79, no. 1, pp. 12-49.
  2. Hirt C.W., Nichols B.D. Volume of fluid (VOF) method for the dynamics of free boundaries, Journal of Computational Physics, 1981, vol. 39, no. 1, pp. 201-225.
  3. Sethian J.A. Level set methods and fast marching methods: evolving interfaces in computational geometry, fluid mechanics, computer vision and materials science, Cambridge: Cambridge University Press, 1999.
  4. Tonkov L.E. Computation of viscous drop dynamics with level set method, Vestn. Udmurt. Univ. Mat. Mekh. Komp'yut. Nauki, 2010, no. 3, pp. 134-140 (in Russian).
  5. Osher S., Fedkiw R. Level set methods and dynamic implicit surfaces, Springer, 2002.
  6. Monaghan J.J. Simulating free surface flows with SPH, Journal of Computational Physics, 1994, vol. 110, no. 2, pp. 399-406.
  7. Gingold R.A., Monaghan J.J. Smoothed particle hydrodynamics: theory and application to non-spherical stars, Mon. Not. R. Astr. Soc., 1977, vol. 181, pp. 375-389.
  8. Lobovsky L., Botia-Vera E., Castellana F., Mas-Soler J., Souto-Iglesias A. Experimental investigation of dynamic pressure loads during dam break, Journal of Fluids and Structures, 2014, vol. 48, pp. 407-434.
  9. Kleefsman K.M.T., Fekken G., Veldman A.E.P., Iwanowski B., Buchner B. A Volume-of-Fluid based simulation method for wave impact problems, Journal of Computational Physics, 2005, vol. 206, no. 1, pp. 363-393.
  10. Loitsyanskii L.G. Mekhanika zhidkosti i gaza (Fluid mechanics), Мoscow: Nauka, 1978, 736 p.
  11. Issa R.I. Solution of the implicitly discretised fluid flow equations by operator-splitting, Journal of Computational Physics, 1986, vol. 62, no. 1, pp. 40-65.
  12. Chen Z., Zong Z., Liu M.B., Li H.T. A comparative study of truly incompressible and weakly compressible SPH methods for free surface incompressible flows, International Journal for Numerical Methods in Fluids, 2013, vol. 73, no. 9, pp. 813-829.
  13. Violeau D. Fluid mechanics and the SPH method. Theory and applications, Oxford University Press, 2012, 616 p.
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