Geodesic
Numerical modeling of melt flow in the Choсhralsky method within the OpenFOAM package using a quasi-hydro dynamic algorithm
Matematičeskoe modelirovanie, Tome 35 (2023) no. 8, pp. 79-96.

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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, Choсhralsky computational case.
Mots-clés : quasi-hydro dynamic algorithm, viscous incompressible fluid 
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M. A. Kiryushina; T. G. Elizarova; A. S. Epikhin. Numerical modeling of melt flow in the Choсhralsky method within the OpenFOAM package using a quasi-hydro dynamic algorithm. Matematičeskoe modelirovanie, Tome 35 (2023) no. 8, pp. 79-96. http://geodesic.mathdoc.fr/item/MM_2023_35_8_a5/

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