Mathematical and numerical model of 3D natural convection in a cube

• Autorzy: Węgrzyn-Skrzypczak E. , Skrzypczak T.
• Języki publikacji: EN

Abstrakty

EN

In the paper mathematical and numerical model of air convection in 3D region is considered. Governing equations of the model are presented. Main assumptions of numerical approach are discussed. Finite Element Method (FEM) with Characteristic Based Split (CBS) scheme is used to solve the problem. Two examples of numerical calculation are presented and discussed.

Słowa kluczowe

EN

natural convection; mathematical model; numerical model; Governing equation

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2009
• Tom: Vol. 8, nr 1
• Strony: 185--191
• Opis fizyczny: Bibliogr. 10 poz., rys., tab.

Twórcy

autor

Węgrzyn-Skrzypczak E.

autor

Skrzypczak T.

• Institute of Mathematics, Czestochowa University of Technology, Poland,

Bibliografia

• [1] Ostrach S., Natural convection in enclosures, Journal of Heat Transfer 1988, 110, 1175-1190.
• [2] De Vahl Davis G., Natural convection of air in a square cavity: a benchmark numerical solution, Int. J. Num. Methods Fluids 1983, 3, 249-264.
• [3] Bathe K.J., Finite element procedures in engineering analysis, Prentice-Hall, Englewood Cliffs 1982.
• [4] Svoboda Z., The analysis the convective-conductive heat transfer in the building constructions, Proceedings of the 6th Building Simulation Conference, Kyoto 1999, 1, 329-335.
• [5] Hughes T.J.R., Recent progress in the development and understanding of SUPG methods with special reference to the compressible Euler and Navier-Stokes equations, International Journal for Numerical Methods in Fluids 1987, 7, 1261-1275.
• [6] Bokota A., Kulawik A., Three dimensional model of thermal phenomena determined by moving heat source, Archives of Foundry 2002, 2(4), 74-79.
• [7] Zienkiewicz O.C., Taylor R.L., The finite element method, 3: Fluid dynamics, Butterworth and Hienemann 2000.
• [8] Chorin A.J., Numerical solution of the Navier-Stokes equation, Math. Comput. 1968, 23, 745-762.
• [9] 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.
• [10] Zienkiewicz O.C., Taylor R.L., The finite element method, 3: Fluid dynamics, Butterworth and Hienemann 2000.