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Amaya-Bower, L. (2010) Numerical Simulation of Multiphase Flows in Microchannels Using the Lattice Boltzmann Method. Ph.D. Thesis, City University of New York, New York.

has been cited by the following article:

• TITLE: Simulation on Cavitation Bubble Collapsing with Lattice Boltzmann Method

  AUTHORS: Jia Yang, Zhuangzhi Shen, Xia Zheng, Li Li

  KEYWORDS: Lattice Boltzmann Method, Square Flume Solid Boundaries, Bubble Form

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.3 No.8, August 26, 2015

  ABSTRACT: We consider a pressure (density) in a square flume solid boundaries and no-slip format condition formulation are introduced to investigate cavitation bubble for the two-dimensional lattice Boltz- mann method (LBM). Using the coupling Carnahan-Starling equation of state (C-S EOS) and exact difference method (EDM) based on modified Shan-Chen model, the whole process of bubble collapse was observed complete and visual with equilibrium distribution function and rebound format. This paper analyzes the bubble form evolution, collapse time and dynamic character under the two dimensional press fields.