Abstract
A method of numerical solution of nonsteady two-dimensional Navier-Stokes equations in regions with curvilinear moving boundaries is proposed. As an example, the solution of the problem of melting with convection in the liquid phase is presented.
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P. J. Roache, Computational Fluid Dynamics, Hermosa (1976).
W. L. Obercampf, “Domain mapping for the numerical solution of partial differential equations,” Int. J. Num. Meth. Eng.,10, 211–223 (1976).
C. Hsu, E. M. Sparrow, and S. V. Patancar, “Numerical solution of moving boundary problems by boundary immobilization and a control-volume-based finite-difference scheme,” Int. J. Heat Mass Transfer,24, 1335–1343 (1981).
J. F. Thompson, F. G. Thames, and C. W. Mastin, “TOMCAT: A code for numerical generation of a boundary-fitted curvilinear coordinate system on fields containing any number of arbitrary two-dimensional bodies,” J. Comp. Phys.,24, 274–302 (1977).
V. S. Patancar, Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, DC (1980).
V. V. Galaktionov and A. P. Ezerskii, Analysis of Melting, Taking Account of Free Convection [in Russian], Paper No. 5606-82 Deposited at VINITI (1982).
V. V. Galaktionov, A. P. Ezerskii, and I. N. Zhukova, “Melting in the presence of free convection in a melt,” in: Scientific Proceedings of the Moscow Power Institute [in Russian], No. 560 (1982), pp. 27–35.
A. V. Lykov, Theory of Heat Conduction [in Russian], Vysshaya Shkola, Moscow (1967).
P. D. Van Buren and R. Viskanta, “interferometric measurement of heat transfer during melting from a vertical surface,” Int. J. Heat Mass Transfer,23, 568–571 (1980).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 48, No. 5, pp. 765–771, May, 1985.
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Ezerskii, A.P. Methods of solving convection and heat-transfer problems in regions with boundaries that vary in form over time. Journal of Engineering Physics 48, 555–560 (1985). https://doi.org/10.1007/BF01840721
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DOI: https://doi.org/10.1007/BF01840721