Maio 2014 vol. 1 num. 1 - 10th World Congress on Computational Mechanics

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Godunov SPH with an operator-splitting procedure for materials with strength

Connolly, A. ; Iannucci, L. ;

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This paper presents a modification of the Godunov Smoothed Particle Hydrodynamics (GSPH) method of Parshikov et al. for isotropic materials with strength. The motivation behind this modification is that it facilitates a higher-order reconstruction of the left and right hand Riemann states, thus increasing the accuracy of the method. A consequence of this modification is that different smoothing kernel functions may be used within each timestep, which may be exploited to help alleviate the intrinsic instabilities of the SPH method. The paper begins with a description of the SPH method then reviews the different Godunov SPH formulations available. The modified GSPH procedure is then detailed and results are presented for one and two-dimensional test cases and compared with predictions made with the standard Artificial Viscosity SPH (AVSPH) formulation.

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Palavras-chave: SPH, Smoothed particle hydrodynamics, high velocity impact,

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DOI: 10.5151/meceng-wccm2012-19471

Referências bibliográficas
  • [1] D. S. Balsara. von-Neumann analysis of smoothed particle hydrodynamics - suggestions for optimal algorithms. Journal of Computational Physics, 121(1):357–372, 1995.
  • [2] L. Cullen and W. Dehnen. Inviscid smoothed particle hydrodynamics. Monthly Notices of the Royal Astronomical Society, 408(2):669–683, 2010.
  • [3] J. K. Dukowicz. A general, non-iterative riemann solver for Godunov’s method. Journal of Computational Physics, 61(1):119 – 137, 1985.
  • [4] R. A. Gingold and J. J. Monaghan. Smoothed particle hydrodynamics: Theory and application to non-spherical stars. Monthly Notices of the Royal Astronomical Society, 181:375–389, 1977.
  • [5] S. K. Godunov. Difference methods for the numerical calculation of the equations of fluid dynamics. Math Sbornik, 47:221–306, 1959.
  • [6] L. Hernquist and N. Katz. TREESPH - a unification of SPH with the hierarchical tree method. Astrophysical Journal Supplement, 70:419–446, 1989.
  • [7] B. P. Howell and G. J. Ball. A free-lagrange augmented Godunov method for the simulation of elasticplastic solids. Journal of Computational Physics, 175(1):128–167, 2002.
  • [8] S.-I. Inutsuka. Reformulation of smoothed particle hydrodynamics with Riemann solver. Journal of Computational Physics, 179:238–267, 2002.
  • [9] G. R. Liu and M. B. Liu. Smoothed Particle Hydrodynamics, a meshfree particle method. World Scientific, 2003.
  • [10] J. J. Monaghan. Smoothed particle hydrodynamics. Reports on Progress in Physics, 68:1703–1759, 2005.
  • [11] J. J. Monaghan and R. A. Gingold. Shock simulation by the particle method SPH. Journal of Computational Physics, 52:374–389, 1983.
  • [12] G. Murante, S. Borgani, R. Brunino, and S.-H. Cha. Hydrodynamic simulations with the Godunov smoothed particle hydrodynamics. Monthly Notices of the Royal Astronomical Society, 417(1):136–153, 2011.
  • [13] A. N. Parshikov and S. A. Medin. Smoothed particle hydrodynamics using interparticle contact algorithms. Journal of Computational Physics, 180(1):358–382, 2002.
  • [14] J. I. Read and T. Hayfield. SPHS: Smoothed Particle Hydrodynamics with a higher order dissipation switch. Monthly Notices of the Royal Astronomical Society, 2011. In press.
  • [15] A. Shaw and S. R. Reid. Heuristic acceleration correction algorithm for use in SPH computations in impact mechanics. Computational Methods in Applied Mechanics and Engineering, 198(128):3962–3974, 2009.
  • [16] J. Swegle, J. Hicks, and S. Attaway. Smoothed particle hydrodynamics stability analysis. Journal of Computational Physics, 116:123–134, 1995.
  • [17] B. van Leer. Towards the ultimate conservative difference scheme - a second-order sequel to Godunov’s method. Journal of Computational Physics, 32(1):101–136, 1979.
Como citar:

Connolly, A.; Iannucci, L.; "Godunov SPH with an operator-splitting procedure for materials with strength", p. 3554-3568 . 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-wccm2012-19471

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