Numerical simulation of compressible flow through cascade of profiles

• Autorzy: Dolejší V.
• Konferencja: Seminar/summer school on "CFD for turbomachinery applications" (01-03.09.2001, Gdańsk, Poland)
• Języki publikacji: EN

Abstrakty

EN

We deal with the numerical simulation of flow through a steam turbine. The system of the compressible Navier-Stokes equations accompanied by the state equation of perfect gas are numerically solved. We propose a new approach for the numerical solution of the Navier-Stokes equations, where the inviscid part is discretized by the finite volume method and the viscous part by the finite element method. To capture precisely the position of shock waves, the suitable mesh refinement method has to be applied. Therefore the anisotropic mesh adaptation technique equipped with some suitable modification for viscous compressible flow is used. The suitable application of the mentioned numerical adaptive method allows us to obtain sufficiently precise results without much requirement on CPU-time and computer memory.

Słowa kluczowe

EN

compressible Navier-Stockes equations; combined finite volume; finite element method; anisotropic mesh adaptation

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2002
• Tom: Vol. 6, No 1
• Strony: 177--186
• Opis fizyczny: Bibliogr. 11 poz., rys.

Twórcy

autor

Dolejší V.

• Department of Numerical Mathematics, Charles University Prague, Sokolovska 83, 18600 Praha 8, Czech Republic

Bibliografia

• [1] Stastny M and Safarik P 1990 ASME Paper 90-GT-313
• [2] Stastny M and Safarik P 1992 ASME Paper 92-GT-155
• [3] Feistauer M 1993 Mathematical Methods in Fluid Dynamics, Longman Scientific&Technical, Harlow
• [4] Feistauer M and Feleman J 1996 The Mathematics of Finite Elements and Applications, cd. Whitemen J R, John Wiley & Sons, pp. 175-194
• [5] Osher S and Solomon F 1982 Math. Comp. 38 339
• [6] Feistauer M, Feleman J and Lukdcova M 1995 J. Comput. Appl. Math. 63 179
• [7] Fort J, Furst J, Halama J and Kozel K 2000 ZAMM 80 (3) 607
• [8] Feleman J and Dolejsi V 1998 J. Engineering Mechanics 5 327
• [9] Dolejsi V 1998 Computing and Visualisation in Science 1 (3) 165
• [10] Dolejsi V 2001 East-West J. Numerical Mathematics 9 (1) 1
• [11] Dolejsi V and Feleman J 2000, submitted to Numerical Methods for Partial Differential Equations.