T-functions for 2-D creeping flow on domains with circular cylinders, corners, and possessing symmetry

• Autorzy: Kołodziej J. A. , Mendes A. C.
• Konferencja: International Workshop on the Trefftz Method (2 ; 1999 ; Lisbon, Portugal
• Języki publikacji: EN

Abstrakty

EN

The purpose of the paper is to propose of a way of constructing trial functions for the indirect Trefftz method as applied to 2-D creeping (Stokes) flow problems. The considered cases refer to the problems of flow around fixed and rotating circular cylinders, in corners with two walls fixed, or one wall moving, and flow possessing particular symmetry. The trial functions, proposed and systematically constructed fulfil exactly not only the governing equation, like T-complete Herrera functions, but also certain given boundary conditions and conditions resulting from assumed symmetry. A list of such trial functions, unavailable elsewhere, is presented. The derived functions can be treated as a subset of T-complete Herrera functions, which can be used for solving typical boundary-value problems.

Słowa kluczowe

EN

Trefftz method

PL

metoda Trefftza

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2001
• Tom: Vol. 8, No. 2-3
• Strony: 359--384
• Opis fizyczny: Bibliogr. 6 poz., rys., tab., wykr.

Twórcy

autor

Kołodziej J. A.

• Institute of Applied Mechanics, Poznan University of Technology, Piotrowo 3, 60{965 Poznan, Poland

autor

Mendes A. C.

• Department of Electromechanical Engineering, Univeridade da Beira Interior, R. Marques d'Avila e Bolama, 6200 Covilha, Portugal

Bibliografia

• [1] H. Gurgeon, I. Herrera: Boundary methods. C-complete systems for the biharmonic equation. Boundary element Methods. C. A. Brebbia ed., CML Publ., Springer, New York, (1981).
• [2] I. Herrera: Boundary methods, C-complete systems for Stokes problems. Comp. Meth. Appl. Mech. Eng., 30, pp. 225-241, (1982).
• [3] J. A. Kolodziej and A. Uscilowska: Trefftz-type procedure for Laplace eqaution on domains with circular holes, circular inclusions, corners, slits, and symmetry, Computer Assisted Mechanics and Engineering Sciences, 4, pp. 501-519 (1997).
• [4] A. C. Mendes and J. A. Kolodziej: An adaptive boundary collocation method for creeping flow between eccentric cylinders. Advances in Fluid Mechanics Series, 9, pp. 85-91 (1996), First International Conference on Advances in Fluid Mechanics, AFM 96 .
• [5] H. K. Moffatt: Viscous and resistance eddies near a sharp corner. Journal of Fluid Mechanics, 18, pp. 1-18 (1964).
• [6] S. Richardson: A stick-slip problem related to the motion of free jet at low Reynolds numbers. Proceedings of Cambridge Philosophical Society, 67, pp. 477-489 (1970).