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Natural convection numerical model based on GFD method

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EN
Classical finite difference method (FDM) is typically used for solving Navier-Stokes (N-S) equation. However to obtain a solution on irregular grid of points other methods have to be applied. Generalized finite difference method (GDFM) is one of the methods that my be used to solve mentioned problem. In this paper N-S and heat transfer equation have been solved using the GFDM. Results of numerical solutions for cooling processes with convection move in two-dimensional region are presented.
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Bibliografia
  • [1] Benitoa J.J., Ureńaa F., Gaveteb L., Solving parabolic and hyperbolic equations by the generalized finite difference method, Journal of Computational and Applied Mathematics 2007, 209, 208-233.
  • [2] Liszka T., An interpolation method for an irregular net of nodes, Internat. J. Numer. Methods Eng. 1984, 20, 1599-1612.
  • [3] Pawlak E., Application of GFDM to model of linear and nonlinear heat diffusion problems, PhD Thesis, Częstochowa 1999 (in Polish).
  • [4] Węgrzyn-Skrzypczak E., Modelling of solidification with motion of the fluid in liquid and mushy zone, PhD Thesis, Częstochowa 2005 (in Polish).
  • [5] Węgrzyn-Skrzypczak E., Skrzypczak T., Numerical Model of the Solidification of Alloys with Natural Convection of the Liquid, Arch. Foundry Eng 2008, 8(1), 109-112
  • [6] Zienkiewicz O.C., Codina R., A general algorithm for compressible and incompressible flow, Part I. The split characteristic based scheme, International Journal for Numerical Metods in Fluids 1995, 20:869-885.
  • [7] Chorin A.J., Numerical solution of the Navier-Stokes equation, Math. Comput. 1968, 23, 745--762.
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bwmeta1.element.baztech-article-BPC6-0004-0012
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