Summary
The paper deals with numerical Solution of transonic potential flow in two-dimensional compressor cascades. The governing equation is full potential equation in non-conservative form. The work considers a weak formulation of the probiem; for numerical Solution modified Jameson’s rotated difference scheine is used and to simplify periodical conditions we used the locally disturbance form of the governing equation. The resulting algebraic system of difference equations is solved by:
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1/
SLOR method
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2/
line relaxation method in three grid-levels
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3/
FAS and CS-algorithm using full weighting of non--conservative residue.
Some applications of these several methods applied to transonic cascade flows are compared to other numerical and experimental results
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References
JAMESON, A.: “Numerical Computation of Transonic Flow with Shock: Waves”, Symposium Transonicum II., Goettlngen(1975), Berlin Springer Verlag (1976).
FOT, J., KOZEL, K.:“Numerical Solution of Inviscid Two--Dimensional Transonic Flow Through a Cascade”, Transaction of the ASME, Journal of Turbomachinary, January (1987), pp. 108–113.
DVOÁK, R.:“On the Development and Structure of Transonic Flow in Cascades”, Symposium Transonicum II., Oswatitsch, Rues, R. (eds.) , Springer Verlag Berlin, pp. 297–307.
HACKBUSCH, W.:“Multi-Grid Methods and Applications”, Computational Mathematics 4, Springer Verlag Berlin Heidelberg New York Tokyo, (1985).
BRANDT, A.:“Multi-Level Adaptive Solutions to Boundary-Value Problems”, Math. Comp., 31 (1977), pp. 333–390.
HUNK, M., KOZEL, K., VAVINCOVÁ, M.:“Numerical Solution of 2D Transonic Flow Problem in Compressor Cascades Using the Full Potential Equation and Multi-Grid Techniques; Numerical Solution of Boundary-Layer and Transonic Euler Equations”, technical report o.p. KD-Prague, Compressors, KKS-TK 2.7-285, November (1987), (in Czech).
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© 1989 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig
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Huněk, M., Kozel, K., Vavřincová, M. (1989). Numerical Solution of Transonic Potential Flow in 2D Compressor Cascades using Multi-Grid Techniques. In: Hackbusch, W. (eds) Robust Multi-Grid Methods. Notes on Numerical Fluid Mechanics, vol 23. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-86200-6_13
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DOI: https://doi.org/10.1007/978-3-322-86200-6_13
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-08097-6
Online ISBN: 978-3-322-86200-6
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