Immersed boundary approach to stability equations for a spatially periodic viscous flow

• Autorzy: Szumbarski J.
• Języki publikacji: EN

Abstrakty

EN

An efficient numerical method for the linear stability equations of a spatially periodic channel flow is presented. The method is based on global Fourier-Chebyshev approximation of a disturbance velocity field. The physical flow domain is embedded in a larger computational domain and the boundary conditions are re-formulated as internal conditions imposed at immersed boundaries. The advantage of this approach is an avoidance of domain mapping, leading to tremendous complication of governing equations and to excessive computational cost. The results of numerical tests are presented. Favorable convergence properties with respect to the length of the Fourier expansions are demonstrated.

Słowa kluczowe

EN

periodic viscous flow; linear stability equation; global Fourier-Chebyshev approximation; numerical method

PL

lepki okresowy przepływ; równanie stabilizacji liniowej; aproksymacja Fourier-Chebysheva; metody numeryczne

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2002
• Tom: Vol. 54, nr 3
• Strony: 199--222
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Szumbarski J.

• Institute of Aeronautics and Applied Mechanics, Warsaw University of Technology, Nowowiejska 24, 00-665 Warsaw

Bibliografia

• 1. J.M. FLORYAN, Stability of wall-bounded shear layers in the presence of simulated distributed surface roughness, Journal of Fluid Mechanics, 335, 29-55, 1997.
• 2. A. CABAL, Stability of wall-bounded flow modified due to the presence of distributed surface roughness, Pli.D. thesis, The University of Western Ontario, London, Ontario, Canada, 1998.
• 3. A. CABAL, J. SZUMBARSKI, J. M. FLORYAN, Stability of flow in a wavy channel, Journal of Fluid Mechanics, 457, pp. 191-212, 2002.
• 4. J. SZUMBARSKI, J. M, FLORYAN, A direct spectral method for determination of flows over corrugated boundaries, Journal of Computational Physics 153, 378-402, 1999.
• 5. C. CANUTO, M. Y. HUSSAINI, A. QUARTERONI, T.A. ZANG, Spectral Methods in Fluid Dynamics, Springer Verlag, Berlin/New York, 1988.
• 6. J. SZUMBARSKI, On origin of unstable modes in viscous channel flow subject to periodically distributed surface suction, Preprint, Warsaw University of Technology, Warsaw, Poland. To appear in Theoretical and Applied Mechanics 4/2002.
• 7, J, M.FLORYAN, U. DALLMANN, Flow over a leading edge with distributed roughness, Journal of Fluid Mechanics, 216, 629-656, 1990.
• 8. A. CABAL, J, SZUMBARSKI, J. M. FLORYAN, Numerical Simulation of Flows Over Corrugated Walls, Computers & Fluids, 30 (6), 753-776, 2002.