多球體在黏性流的動態運動模擬

林欣瑞

doi:10.6342/NTU.2011.01974

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多球體在黏性流的動態運動模擬

Simulation of Multi-particle Dynamic Motion in Viscous Fluid

林欣瑞 , Masters　　Advisor：陳俊杉　　

繁體中文 DOI： 10.6342/NTU.2011.01974

固液二相流模擬；沉浸邊界法；晶格波茲曼法；離散元素法；砂湧； Solid-liquid two-phase flow simulation ； immersed boundary method ； lattice Boltzmann method ； discrete element method ； quicksand

Abstract │ Reference (20) │ Times Cited (3) │ Altmetrics

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This research focuses on three-dimensional simulation of the motion of multiple solid particles in viscous flow. By integrating discrete element method, lattice Boltzmann method and immersed boundary method to solve the interaction between solid particle and viscous fluid. To improve the efficiency of solving large scale model, this integrating scheme is implemented with parallel computing. The traditional immersed boundary method creates many integrating point to describe the solid boundary. And the bodies forces come from boundary are interpolated to the neighbor fluid nodes. However, the frequent interpolation will spend very much computing time. This research implements volume fraction function immersed boundary method. Volume fraction function is a more efficiency way to describe solid boundary effect in the fluid. This research simulates single particle sediment in a box, two particles’ DKT behavior and quick condition for particles. The simulating quick condition phenomenon is verified by the definition from soil mechanics. And we try to explain the mechanism which causes the quick condition for particles. The quick condition is not only cause by the normal stress in the direction of pressure difference. Institute fluid makes circulating flows in the spaces between particles. This flow cause torques to counter the friction forces between particles. The counter behavior will break the structure of particles’ configuration and makes quick condition occurs easier.

Reference ( 20 ) 〈TOP〉

[1] Shamy, U. E. and Zeghal, M. (2005), “Coupled Continuum-Discrete Model for Saturated Granular Soils,” J. Eng. Mech., 131, pp. 413–426.
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[2] Cundall, P.A. (1971), “A computer model for simulating progressive large scale movements in blocky rock systems,” Proceedings of Symposium of International Society of Rock Mechanics. Nancy, France. Vol. 1, Paper II-8.
連結：
[3] Yang, F.-L., Chang, W. T., Huang, Y. T., Hsieh, S. H. and Chen, C. S. (2010), “A new contact model for discrete element simulation of dry or immersed granular avalanches,”　
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[7] Peskin, C.S. (1982), “The fluid dynamics of heart valves: experimental, theoretical, and computational methods,” Ann. Rev. Fluid Mech., 14, pp. 235-259.
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[8] Mittal, R. and Iaccarino, G. (2005), “Immersed boundary methods,” Annu. Rev. Fluid Mech., 37, 239-261.
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