Full Article - Open Access.

Idioma principal

VALIDATION OF A NEW FULLY-EXPLICIT INCOMPRESSIBLE SMOOTHED PARTICLE HYDRODYNAMICS METHOD

Barcarolo, D. A.; Touzé, D. le; Vuyst, F. de;

Full Article:

The smoothed particle hydrodynamics method has been deeply studied and vali-dated for the past decades on a weakly-compressible fluid discretization for the Euler equa-tions. Recently several authors have proposed the use of SPH truly-incompressible algorithms in the most varied domains of computational fluid dynamics. Within this technique, based on the projection method, a pressure Poisson equation is solved to obtain an incompressible pressure profile. Even though good results have been achieved, the method lacks of CPU per-formance as an equation has to be solved implicitly. In this article we will present a new fully explicit Incompressible SPH. We will show that nevertheless the explicit resolution of the Eu-ler equations, very good results are achieved both for viscous flows and for free-surface flows. We are also going to assess the use of a more precise free-surface detection algorithm and a more simple and as performing stabilizing technique then the ones existing on the lite-rature.

Full Article:

Palavras-chave: Smoothed Particle Hydrodynamics, Incompressible Flow, Explicit Formu-lation.,

Palavras-chave:

DOI: 10.5151/meceng-wccm2012-16774

Referências bibliográficas
  • [1] Lucy, L B. Numerical approach to the testing of the fission hypothesis. Astron. J. 1977, Vol. 82, pp. 1013-1024.
  • [2] Gingold, R A and Monaghan, J J. Smoothed particle hydrodynamics -theory and application to non-spherical stars. Mon. Not. R. Astron. Soc. 1977, Vol. 181, pp. 375-389.
  • [3] Monaghan, J J. SPH and Riemann Solvers. Journal of Computational Physics. 1997, Vol. 136, pp. 298-307.
  • [4] Marrone, S, Antuono, M, Colagrossi, A, Colicchio, G, Le Touzé, D and Graziani G.. Delta-SPH model for simulating violent impact flows. Computer Methods in Applied Mechanics and Engineering. 2011, Vol. 200, pp. 1526-1542.
  • [5] Cummins, S J and Rudman, M. An SPH projection method. Journal of Computational Physics. 1999, Vol. 152, pp. 584-607.
  • [6] Ellero, M, Serrano, M and Español, P.. Incompressible smoothed particle hydrodynamics. Journal of Computational Physics. 2007, Vol. 226, pp. 1731-1752.
  • [7] Shao, S and Lo, E Y. Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface. Advances in Water Resources. 2003, Vol. 26, pp. 787-800.
  • [8] Shao, S. Incompressible SPH simulation of wave breaking and over toppping with turbulence modelling. International Journal for Numerical Methods in Fluids. 2006, Vol. 50, pp. 597-621.
  • [9] Lee, E-S., Moulinec, C, Xu, R, Violeau, D, Laurence, D and Stansby P K.. Comparisons of weakly compressible and truly incompressible algorithms for the SPH mesh free particle method. Journal of Computational Physics. 2008, Vol. 227, pp. 8417-8436.
  • [10] Hu, X Y and Adams, N A. An incompressible multi-phase SPH method. Journal of Computational Physics. 2007, Vol. 227, pp. 264-278.
  • [11] Hu, X Y and Adams, N A. A constant-density approach for incompressible multi-phase SPH. Journal of Computational Physics. 2009, Vol. 228, pp. 2082-2091.
  • [12] Xu, R, Stansby, P K and Laurence, D. Accuracy and stability in incompressible SPH (ISPH) based on the projection method and a new approach. Journal of Computational Physics. 2009, Vol. 228, pp. 6703-6725.
  • [13] Nestor, R, Basa, M and Quinlan N.. Moving boundary problems in the finite volume particle method. Proceedings of the 3rd International SPHERIC workshop. 2008, pp. 109-114.
  • [14] Xu, R and Stansby, P K. The influence of the truncated kernel to free-surface predictions with ISPH and a new solution. Proceedings of the 5th International SPHERIC workshop. 2010, pp. 130-137.
  • [15] Lind, S J, Xu, R, Stansby P K, Rogers B D.. A Stabilising Diffusion-Based Shifting Algorithm for Incompressible Smoothed Particle Hydrodynamics. Proceedings of the 6th International SPHERIC workshop. 2011, pp. 14-20.
  • [16] Shadloo, M S, Zainali, A, Sadek S H and Yildiz, M.. Improved Incompressible Smoothed Particle Hydrodynamics method for simulating flow around bluff bodies. Computer Methods in Applied Mechanics and Engineering. 2011, Vol. 200, pp. 1008-1020.
  • [17] Khayyer, A, Gotoh, H and Shao, S D. Corrected Incompressible SPH method for accurate water-surface tracking in breaking waves. Coastal Engineering. 2008, Vol. 55, pp. 236-250.
  • [18] Khayyer, A and Gotoh, H. A higher order Laplacian model for enhancement and stabilization of pressure calculation by the MPS method. Applied Ocean Research. 2010, Vol. 32, pp. 124-131.
  • [19] Colagrossi A., Antuono M., Le Touzé D. Theoretical considerations on the free-surface role in the smoothed-particle-hydrodynamics model. Phys. Rev. E.. 2009.
  • [20] Marrone, S, Colagrossi, A, Le Touzé, D and Graziani G.. Fast free-surface detection and level-sete function definition in SPH solvers. Journal of Computational Physics. 2010, Vol. 229, pp. 3652-3663.
  • [21] Gresho, P M. On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 1: Theory. International Journal for Numerical Methods in Fluids. 1990, Vol. 11, pp. 587-620.
  • [22] Gresho, P M and Chan, S T. On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 2: Implementation. International Journal for Numerical Methods in Fluids. 1990, Vol. 11, pp. 621-659.
  • [23] Gresho, P M, Chan, S T, Lee, R L and Upson, C D.. A modified finite element method for solving the time-dependent, incompressible Navier-Stokes equations. Part 1: Theory. International Journal for Numerical Methods in Fluids. 1984, Vol. 4, pp. 557-598.
  • [24] Christon, M. A., Carroll, D. E.. Unstructured-grid, parallel, projection solver for computing low-speed flows. Technical Report. 1998.
  • [25] Monaghan, J J. On the problem of penetration in particle methods. Journal of Computational Physics. 1989, Vol. 82, pp. 1-15.
  • [26] Rafiee, A and Thiagarajan, K P. An SPH projection method for simulating fluid-hypoelastic structure interaction. Computer Methods in Applied Mechanics and Engineering. 2009, Vol. 198, pp. 2785-2795.
  • [27] Morris, J P, Fox, P J and Zhu, Y. Modeling low Reynolds number incompressible flows using SPH. Journal of Computational Physics. 1997, Vol. 136, pp. 214-226.
  • [28] Chorin, A J. Numerical solution of the Navier-Stokes equations. Mathematics of Computation. 1968, Vol. 22, pp. 745-762.
  • [29] Libersky, L D, Petschek, A G, Carney, T C, Hipp, J R and Allahdadi, F A.. High Strain Lagrangian Hydrodynamics: A Three-Dimensional SPH Code for Dynamic Material Response. Journal of Computational Physics. 1993, Vol. 109, pp. 67-75.
  • [30] Colagrossi, A and Landrini, M. Numerical simulation of interfacial flows by smoothed particle hydrodynamics. Journal of Computational Physics. 2003, Vol. 191, pp. 448-475.
  • [31] De Leffe, M., Le Touzé, D. and Alessandrini, B. A modified no-slip condition in weakly-compressible SPH. Proceedings of the 6th International SPHERIC workshop. 2011, pp. 291-297.
  • [32] Ghia, U, Ghia, N and Shin, C T. High-Re Solutions for Incompressible Flow Using the Navier-Stokes Equations and a Multigrid Method. Journal of Computational Physics. 1982, Vol. 48, pp. 387-411.
  • [33] Randle, P W and Libersky, L D. Smoothed particle Hydrodynamichs: Some recente improvements and applications. Computer Methods in Applied Mechanics and Engineering. 1996, Vol. 139, pp. 375-408.
  • [34] Tritton, D J. Experiments on the flow past a ciruclar cylinder at low Reynolds. Journal of Fluids Mechanichs. 1959, Vol. 6, p. 547.
  • [35] Buchner, B. Green Water on Ship-type Offshore Structures. s.l. : PhD-thesis Delft University of Technology, 2002.
  • [36] Kleefsman, K M T, Fekken, G, Veldman , A E P, Iwanowski, B and Buchner, B.. A Volume-of-Fluid based simulation method for wave impact problems. Journal of Computational Physics. 2005, Vol. 206, pp. 363-393.
Como citar:

Barcarolo, D. A.; Touzé, D. le; Vuyst, F. de; "VALIDATION OF A NEW FULLY-EXPLICIT INCOMPRESSIBLE SMOOTHED PARTICLE HYDRODYNAMICS METHOD", p. 380-396 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-16774

últimos 30 dias | último ano | desde a publicação


downloads


visualizações


indexações