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A Diffuse-Interface Lattice Boltzmann Method for the Dendritic Growth with Thermosolutal Convection

A Diffuse-Interface Lattice Boltzmann Method for the Dendritic Growth with Thermosolutal Convection
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Year:    2023

Author:    Chengjie Zhan, Zhenhua Chai, Baochang Shi, Ping Jiang, Shaoning Geng, Dongke Sun

Communications in Computational Physics, Vol. 33 (2023), Iss. 4 : pp. 1164–1188

Abstract

In this work, we proposed a diffuse-interface model for the dendritic growth with thermosolutal convection. In this model, the sharp boundary between the fluid and solid dendrite is firstly replaced by a thin but nonzero thickness diffuse interface, which is described by the order parameter, and the diffuse-interface based governing equations for the dendritic growth are presented. To solve the model for the dendritic growth with thermosolutal convection, we also developed a diffuse-interface multi-relaxation-time lattice Boltzmann (LB) method. In this method, the order parameter in the phase-field equation is combined into the force caused by the fluid-solid interaction, and the treatment on the complex fluid-solid interface can be avoided. In addition, four LB models are designed for the phase-field equation, concentration equation, temperature equation and the Navier-Stokes equations in a unified framework. Finally, we performed some simulations of the dendritic growth to test the present diffuse-interface LB method, and found that the numerical results are in good agreements with some previous works.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2022-0294

Communications in Computational Physics, Vol. 33 (2023), Iss. 4 : pp. 1164–1188

Published online:    2023-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    25

Keywords:    Dendritic growth diffuse interface lattice Boltzmann method phase-field method.

Author Details

Chengjie Zhan

Zhenhua Chai

Baochang Shi

Ping Jiang

Shaoning Geng

Dongke Sun

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