A collocation method utilizing curvilinear coordinates and Bézier surfaces for analysis of a flow of Newtonian liquids

• Autorzy: Zapomel J
• Konferencja: Modelling and optimization of physical systems/International Seminar of Applied Mechanics (10 ; 16 - 18.06.2006 ; Wisła ; Polska)
• Języki publikacji: EN

Abstrakty

EN

A new collocation method for analysis of a flow of Newtonian liquids based on application of curvilinear coordinates has been developed. The procedure arrives at division of the investigated region into quadrilateral domains and at approximation of the geometrie, pressure, and velocity parameters by Bezier surfaces in each domain. These approximations are substituted into the Navier-Stokes equations and into the equation of continuity and the unknowns are the control points, the parametres defining the Bézier surfaces. Their calculation strats from satisfying the Navier-Stokes equations and the equation of continuity at a specified number of collocation points whose positions in the domains are defined by curvilinear coordinates. This results into a set of overestimated linear algebraic equations and their solution must satisfy the boundary conditions and the conditions of continuity at borders of the adjacent domains. Advantage of this approach is that no new discretization is needed if the shape of the investigated region is changed.

Słowa kluczowe

EN

Bezier surfaces; Newtonian liquid; curvilinear coordinates

PL

powierzchnie Beziera; ciecz newtonowska; współrzędne krzywoliniowe

• Wydawca: Wydawnictwo Katedry Mechaniki Stosowanej
• Czasopismo: Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska
• Rocznik: 2006
• Tom: z. 31
• Strony: 161--164
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Zapomel J

• CISS - IT ASCR, Branch of Ostrava, VŠB-Technical University of Ostrava,

Bibliografia

• [ 1 ] Crank J.: Free and mooving boundary problems, Oxford Science Publications, 1996.
• [ 2 ] Pochylý F., Fialová S., Habán V.:Flow with large deformation of boundaries.
• [ 3 ] Pochylý F., Koutník J.: The appriximate solution of partial differential equations by means of Bézier srfaces, Engineering Mechanics, vol.l, No.3, 1994, p. 165-176
• [ 4 ] Malenovský E.: Přispévek k dynamice rotorových soustav, DrSc. Thesis, Brno, 2000