Abstract
This chapter presents numerical simulation using the lattice Boltzmann method for 3-dimensional square duct flows with/without sudden expansion. The lattice BGK (LBGK) method is used to simulate three-dimensional square duct flow with/without sudden expansion on a massively parallel computer, a HP Exemplar V- class. The accuracy, physical fidelity, and efficiency of the LBGK method are investigated. Speedup and CPU time are presented for one-dimensional domain decomposition in three-dimensional computation. The LBGK method is able to reproduce the transition from uniform inlet flow to fully developed laminar velocity profile and could be an alternative for solving the Navier–Stokes equations. Parallel computations of three-dimensional duct flows were carried out on a HP Exemplar V- class with 32CPU. A parallel speed up of 11.8 was obtained with 16CPU. Two-dimensional simulation shows that the longer the size of sub domain in horizontal direction, the shorter the CPU time.
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