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Numerical modeling of melt flow in the Choñhralsky method within the OpenFOAM package using a quasi-hydro dynamic algorithm
M. A. Kiryushinaa, T. G. Elizarovaa, A. S. Epikhinb a Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow
b Ivannikov Institute for System Programming of the RAS
Abstract:
The work presents the task statement, the numerical solution method and the description of
the test calculation case for modeling the melt flow in the problem of crystal growth by the
Chochralsky method. The mathematical model is based on regularized or quasi-hydrodynamic equations to describe the currents of a viscous, non-compressible thermally conductive fluid. The numerical algorithm is implemented on the basis of the OpenFOAM
package within the mulesQHDFoam solver. The proposed approach allows calculations of
non-stationary three-dimensional flow in a crucible with a given geometry for high numbers Reynolds and Grashoff. As an example, the results of calculating the flow in a simplified configuration crucible are given. An asymmetric transient flow is obtained.
Keywords:
OpenFOAM package, quasi-hydro dynamic algorithm, viscous incompressible fluid, Choñhralsky computational case.
Received: 15.05.2023 Revised: 19.06.2023 Accepted: 03.07.2023
Citation:
M. A. Kiryushina, T. G. Elizarova, A. S. Epikhin, “Numerical modeling of melt flow in the Choñhralsky method within the OpenFOAM package using a quasi-hydro dynamic algorithm”, Matem. Mod., 35:8 (2023), 79–96; Math. Models Comput. Simul., 15:1 suppl. (2023), S131–S142
Linking options:
https://www.mathnet.ru/eng/mm4487 https://www.mathnet.ru/eng/mm/v35/i8/p79
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Abstract page: | 140 | Full-text PDF : | 12 | References: | 27 | First page: | 8 |
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