CA-LBM MODEL FOR THE SIMULATION OF DENDRITIC GROWTH UNDER NATURAL CONVECTION
CA-LBM模型模拟自然对流作用下的枝晶生长

A two-dimensional (2-D) model coupling cellular automaton-lattice Boltzmann method (CA-LBM) was developed for the simulation of dendritic growth in the presence of natural convection. The present model adopts the CA approach for the simulation of dendritic growth and the LBM for the numerical solution of flow dynamics as well as the species and heat transports controlled by both diffusion and convection. The validation of the LBM was performed by testing the calculated natural convection in a square cavity. The CA-LBM model was applied to simulate single and multi-dendritic growth in alloys under natural convection. The simulated single dendritic steady-state growth data of the upstream tip can be compared well with the analytical predictions. It is found that the dendritic growth is obviously influenced by natural convection.