The density change in solidification can evoke a kind of melt flow and affect the final crystal patterns. A novel model fitting into the anisotropic lattice Boltzmann scheme was developed to describe density change induced flows, in which the flow was straightly depicted by introducing a density gradient raised body force in the lattice Boltzmann equation. The effects of density ratios on crystal growth were numerically studied. The results show that the density change induced flows can significantly affect morphological transitions and there exists a competition between latent heat release and heat transport with mediation of the density change caused flows.

中文翻译：

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各向异性格Boltzmann方案模拟密度变化引起的流动的晶体生长

凝固中的密度变化会引起一种熔体流动并影响最终的晶体图案。提出了一种新的模型，用于拟合各向异性格子玻尔兹曼方案，以描述密度变化引起的流动，其中通过在格子玻尔兹曼方程中引入密度梯度升高的体力来直接描绘该流动。数值研究了密度比对晶体生长的影响。结果表明，密度变化引起的流动可以显着影响形态转变，并且在由密度变化引起的流动的介导下，潜热释放和热传递之间存在竞争。