Viscous conducting flows with smooth-particle applied mechanics

Oyeon Kum; William G. Hoover; Harald A. Posch

doi:10.1103/PhysRevE.52.4899

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Viscous conducting flows with smooth-particle applied mechanics

Oyeon Kum and William G. Hoover

Harald A. Posch

Department of Applied Science, University of California at Davis/Livermore and Lawrence Livermore National Laboratory, Livermore, California 94551-7808

Institute for Experimental Physics, University of Vienna, Boltzmanngasse 5, Vienna A-1090, Austria

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Phys. Rev. E 52, 4899 – Published 1 November, 1995

DOI: https://doi.org/10.1103/PhysRevE.52.4899

Abstract

Smooth-particle methods have a 20-year history of solving complex problems in fluid and solid mechanics. Here we first discuss the method, pointing out an interesting and fruitful parallel linking smooth-particle methods to atomistic molecular dynamics. We then assess the accuracy and applicability of the method by comparing a set of smooth-particle Rayleigh-Bénard problems, all in the laminar regime, to corresponding highly accurate grid-based numerical solutions of the continuum equations. Both transient and stationary smooth-particle solutions reproduce the grid-based data with velocity errors on the order of a few percent.

References (15)

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W. G. Hoover, T. G. Pierce, C. G. Hoover, J. O. Shugart, G. M. Stein and A. L. Edwards, Comput. Math. Applic. 28, 155 (1994).
O. Kum, Ph.D. thesis, University of California at Davis/Livermore, 1995.
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[c1] L. B. Lucy, Astron. J. 82, 1013 (1977).

[c2] J. J. Monaghan, Ann. Rev. Astron. Astrophys. 30, 543 (1992).

[c3] Advances in the Free-Lagrange Method, Lecture Notes in Physics No. 395, edited by H. E. Trease, M. J. Fritts, and W. P. Crowley (Springer-Verlag, Berlin, 1991).

[c4] W. G. Hoover, T. G. Pierce, C. G. Hoover, J. O. Shugart, G. M. Stein and A. L. Edwards, Comput. Math. Applic. 28, 155 (1994).

[c5] O. Kum, Ph.D. thesis, University of California at Davis/Livermore, 1995.

[c6] H. Takeda, S. M. Miyama and M. Sekiya, Prog. Theor. Phys. 92, 939 (1994).

[c7] S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Oxford, London, 1961).

[c8] D. C. Rapaport, Phys. Rev. Lett. 60, 2480 (1988).

[c9] I. Goldhirsch, R. B. Pelz and S. A. Orszag, J. Fluid Mech. 199, 1 (1989).

[c10] T. Watanabe, H. Kaburaki and M. Yokokawa, Phys. Rev. E 49, 4060 (1994).

[c11] A. Puhl, M. M. Mansour and M. Mareschal, Phys. Rev. A 40, 1999 (1989).

[c12] O. Kum and W. G. Hoover, J. Stat. Phys. 76, 1075 (1994).

[c13] R. W. Hockney and J. W. Eastwood, Computer Simulation Using Particles (McGraw-Hill, New York, 1981).

[c14] H. A. Posch, W. G. Hoover and O. Kum, Phys. Rev. E 52, 1711 (1995).

[c15] S. Paolucci and D. R. Chenoweth, Phys. Fluids 30, 1561 (1987).

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