Abstract
Pseudo-particle modeling (PPM) is a particle method (PM) proposed in 1996. Though it is effective for the simulation of microscopic particle-fluid systems, its application to practical systems is still limited by computational cost. In this note, we speed up the computation by using a combination of weighted averaging with finite difference techniques to upgrade the particle interactions to a fluid element level, which conforms to the Navier-Stokes equation. The approach, abbreviated to MaPPM, is then applied to the problem of one-dimensional Poiseuille flow with a quantitative comparison to the results of another related PM—smoothed particle hydrodynamics (SPH), where the accuracy and efficiency of MaPPM is found to be much better than that of SPH. Flows around a cylinder and multiple freely moving particles are also simulated with the new model, resulting in reasonable flow pattern and drag coefficient. The convergence and robustness of the algorithm prove promising.
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References
Li, J., Wen, L., Ge, W. et al., Dissipative structure in concurrent-up gas-solid flow, Chemical Engineering Science, 1998, 53(19): 3367.
Unverdi, S. O., Tryggvason, G. A., Front-tracking method for viscous, incompressible multi-fluid flows, Journal of Computational Physics, 1992, 100(1): 25.
Romero-Rochin, V., Rubi, J. M., Discretized integral hydrodynamics, Physical Review E, 1998, 58(2): 1843.
Ge, W., Li, J., Pseudo-particle approach to hydrodynamics of gas/solid two-phase flow, in Proceedings of the 5th International Conference on Circulating Fluidized Beds (eds. Li, J., Kwauk, M.), Beijing: Science Press, 1997, 260–265.
Monaghan, J. J., Smoothed particle hydrodynamics, Annual Review of Astronomy and Astrophysics, 1992, 30: 543.
Chapman, S., Cowling, T. G., The Mathematical Theory of Non-uniform Gases, 3rd ed., London: Cambridge University Press, 1970, Chapter 16, 397.
Takeda, H., Miyama, S. M., Sekiya, M., Numerical simulation of viscous flow by smoothed particle hydrodynamics, Progress of Theoretical Physics, 1994, 92(5): 939.
Sangani, A. S., Acrivos, A., Flow past periodic arrays of cylinders with application to heat transfer, International Journal of Multiphase Flow, 1982, 8(3): 193.
Tritton, D. J., Experiments on the flow past a circular cylinder at low Reynolds numbers, Journal of Fluid Mechanics, 1959, 6(4): 547.
Taneda, S., Experimental investigation of the wakes behind cylinders and plates at low Reynolds numbers, Journal of the Physical Society of Japan, 1956, 11(3): 302.
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Ge, W., Li, J. Macro-scale pseudo-particle modeling for particle-fluid systems. Chin. Sci. Bull. 46, 1503–1507 (2001). https://doi.org/10.1007/BF02900568
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DOI: https://doi.org/10.1007/BF02900568