Orientation selection of equiaxed dendritic growth by three-dimensional cellular automaton model

TL;DR

This paper introduces a 3D cellular automaton model with adaptive mesh refinement to simulate equiaxed dendritic growth, focusing on orientation selection influenced by interface energy anisotropy.

Contribution

The paper develops a novel 3D CA model incorporating a limited neighbor solid fraction method and interface energy anisotropy parameters for more accurate dendritic growth simulation.

Findings

Simulated morphologies align with the minimum stiffness criterion.

Orientation selection between <100> and <110> is influenced by anisotropy parameters.

The model reduces mesh-induced anisotropy in dendritic growth simulations.

Abstract

A three-dimensional (3-D) adaptive mesh refinement (AMR) cellular automata (CA) model is developed to simulate the equiaxed dendritic growth of pure substance. In order to reduce the mesh induced anisotropy by CA capture rules, a limited neighbor solid fraction (LNSF) method is presented. An expansion description using two interface free energy anisotropy parameters (\epsilon1, \epsilon2) is used in present 3-D CA model. The dendrite growths with the orientation selection between <100> and <110> are discussed using the different \epsilon1 with \epsilon2=-0.02. It is found that the simulated morphologies by present CA model are as expected from the minimum stiffness criterion.