Curvilinear finite difference method (CFD) approximation of differential operators

• Autorzy: Lara-Dziembek S. , Siedlecki J.
• Języki publikacji: EN

Abstrakty

EN

Curvilinear finite difference method is a one of variants of generalized finite difference method. Geometrical mesh can be created by the optional set of points for which the n-points stars are defined. In this paper the 9-points stars are considered (2D task) and the method of differential operators approximation is presented. In the final part of the paper the example of computations is shown.

Słowa kluczowe

EN

CFD method; differential operators

PL

metoda CFD; operator różniczkowy

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2009
• Tom: Vol. 8, nr 1
• Strony: 97--103
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Lara-Dziembek S.

autor

Siedlecki J.

• Czestochowa University of Technology, Poland,

Bibliografia

• [1] Kwok S.K., An improved curvilinear finite difference method for arbitrary mesh system, Comp. Struct. 1984, 18, 719-731.
• [2] Lau P.C., Curvilinear finite difference methods for three-dimensional potential problems, Jour. Comp. Phys. 1979, 32, 325-344.
• [3] Orkisz J., Finite difference method, [in:] M. Kleiber (ed.), Computer methods in mechanics, WN PWN, Warsaw 1995.
• [4] Majchrzak E., Mochnacki B., Numerical methods. Theoretical base, numerical aspects, algorithms, Publ. of Sil. Techn. Univ., Gliwice 2004.
• [5] Lara S., Doctoral Theses, Częstochowa 2003.
• [6] Mochnacki B., Pawlak E., Application of the generalized FDM for numerical solution of nonlinear thermal diffusion problems, Journal of Computational and Applied Mechanics 2005, 6, 1, 107-113.
• [7] Mochnacki B., Ciesielski M., Application of Thiessen polygons in control volume model of solidification, Journal of Achievements of Materials and Manufacturing Engineering 2007, 23, 2, 75-78.