Modern finite volume methods solving internal flow problems

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

Abstrakty

EN

The lecture deals with explicit and implicit finite difference and mainly finite volume schemes that have been commonly used in last years for compressible and incompressible fluid flow problems. Mainly we mention schemes used for transonic flow computation (inviscid as well as viscous models) in internal and also external aerodynamics. We prefer modern schemes like RK multistage schemes, TVD and ENO schemes, implicit schemes or higher order schemes. Some results of numerical computation or numerical simulation are presented in the second part of the paper, including 2D and 3D transonic flow through a channel and a cascade (mainly of turbine type), 2D and 3D backward facing step flow (laminar and turbulent), 2D and 3D impinging jet flow (comparisons of some turbulent models). The last two cases have been computed only for incompressible viscous flows. Some tests for the efficiency of higher order scheme (4th-6th order) are presented for the backward facing step problem. In many examples we also present a comparison of numerical and experimental results.

Słowa kluczowe

EN

finite volumes; modern numerical schemes; internal aerodynamics

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2002
• Tom: Vol. 6, No 1
• Strony: 127--142
• Opis fizyczny: Bibliogr. 21 poz., rys.

Twórcy

autor

Kozel K.

• Department of Technical Mathematics, CTU Prague, Karlovo namesti 13, 121 35 Praha 2, Czech Republic

autor

Fořt J.

• Department of Technical Mathematics, CTU Prague, Karlovo namesti 13, 121 35 Praha 2, Czech Republic

Bibliografia

• [1] Cole J D and Murman E M 1971 AIAA J. 9 (1) 114
• [2] Magnus R and Yoshihara H 1970 AIAA J. 8 (12) 1710
• [3] Kozel K, Polasek J and Vavrincova M 1978 Strojnicky ćasopis 2 243
• [4] Kozel K, Polasek J and Vavrincova M 1978 Proc. 6th Int. Conf. Numerical Methods in Fluid Dynamics, Springer-Verlag, pp. 405-409
• [5] Cockburn B, Hou S and Shu C W 1990 Math. Comp. 54 545
• [6] Dolejsi V and Feistauer M 2001 Proc. Sem. Euler and Navier-Stokes Equations, Prague, Czech Republic, pp. 31-34
• [7] Kozel K and Furst J 1995 Proc. Conf. Numerical Modelling in Continuum Mechanics, Prague, Czech Republic, pp. 103-112
• [8] Kozel K, Angot P and Furst J 1996 Proc. Conf. Finite Volumes for Complex Applications, Rouen, France, pp. 283-290
• [9] Kozel K, Janda M and Liska R 2000 Proc. Conf. Hyperbolic Problems, Magdeburg, Germany
• [10] Yee H C 1989 NASA Rep. 101088 NANA Moffet Field, USA
• [11] Yee H C 1987 J. Comput. Phys. 68 (1) 71
• [12] Furst J and Kozel K 2001 Mathematica Bohemica Journal 126 (2) 379
• [13] Fort J, Furst J, Halama J and Kozel K 2001 Mathematica Bohemica Journal 126 (2) 354
• [14] Fort J, Furst J, Halama J and Kozel K 2000 Proc. IM ACS Congress, Lausanne, Switzerland
• [15] Dobes J, Fort J, Furst J and Kozel K 2001 Proc. Sem. Topical Problems of Fluid Mechanics, Prague, Czech Republic, pp. 33-36
• [16] Kozel K, Furst J, Horak J and Vanek D 1999 Proc. Sem. Topical Problems of Fluid Mechanics, Prague, Czech Republic, pp. 19-22
• [17] Furst J and Kozel K Proc. Sem. Navier-Stokes Equations: Theory and Numerical Solution, Research in Mathematics, Series 388 264
• [18] Hulek T, Hunek M and Kozel K 1992 Proc. 1st European Computational Fluid Dynamics Conf., Brussels, Belgium, Vol. 1, pp. 61-68
• [19] Menter F R 1994 AIAA J. 32 (8) 1598
• [20] Kozel K, Louda P and Prihoda J 2000 Proc. IMACS World Congress, Laussane, Switzerland
• [21] Kozel K, Louda P and Prihoda J 2001 Proc. GAMM Workshop Discrete Modelling and Discrete Algorithms in Continuum Mechanics, cd. Sonar T, Logos Verlag Berlin pp 157- 166.