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Mathematical Models and Computer Simulations

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01-12-2023

Numerical Modeling of a Melt Flow by the Czochralski Method in the OpenFOAM Package Using a Quasi-Hydrodynamic Algorithm

Authors: M. A. Kirushina, T. G. Elizarova, A. S. Epikhin

Published in: Mathematical Models and Computer Simulations | Special Issue 1/2023

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Abstract

The formulation of the problem, the numerical solution method, and description of the test calculation case for modeling a melt flow in the problem of crystal growth by the Czochralski (Chochralsky) method are presented. The mathematical model is based on regularized or quasi-hydrodynamic (QHD) equations to describe a viscous, incompressible heat-conducting fluid. The numerical algorithm is implemented on the OpenFOAM package within the mulesQHDFoam solver. The proposed approach allows calculations of an unsteady three-dimensional flow in a crucible with the given geometry for high Reynolds and Grashof numbers. As an example, the results for the flow in a simplified configuration are given. An asymmetric transient flow is obtained.

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Title: Numerical Modeling of a Melt Flow by the Czochralski Method in the OpenFOAM Package Using a Quasi-Hydrodynamic Algorithm
Authors: M. A. Kirushina
T. G. Elizarova
A. S. Epikhin
Publication date: 01-12-2023
Publisher: Pleiades Publishing
Published in: Mathematical Models and Computer Simulations / Issue Special Issue 1/2023
Print ISSN: 2070-0482
Electronic ISSN: 2070-0490
DOI: https://doi.org/10.1134/S2070048223070074

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