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A Preconditioned solution scheme for the computation of compressible flow in turbomachinery at arbitrary mach numbers

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Konferencja
Seminar/summer school on "CFD for turbomachinery applications" (01-03.09.2001, Gdańsk, Poland)
Języki publikacji
EN
Abstrakty
EN
A preconditioned solution scheme for the computation of compressible flow in turbomachinery at arbitrary Mach numbers is presented. The preconditioning technique used is applied to a state-of-the-art explicit, time-marching Navier-Stokes code which originally was developed for compressible, high-speed turbomachinery applications. It combines the ideas of low Mach number preconditioning and artificial compressibility method into a unified approach where principally fluids with arbitrary equations of state can be simulated. As shown by the test cases presented, it allows the code to simulate flows efficiently and accurately independent of the Mach number. A description of the Navier-Stokes equations for rotating coordinate systems, along with the solution scheme and the details of the preconditioning method is given. Since turbomachinery computations are often performed on truncated domains, the solution scheme should be used in conjunction with non-reflecting boundary conditions. A change in the time-dependency of the equations due to preconditioning necessitates a modification of the boundary conditions. Thus, a derivation of the appropriate boundary conditions for the presented preconditioned scheme was performed and the resultant equations are given in this paper. The effectiveness of the new boundary conditions is demonstrated by comparing them with both boundary conditions that use the standard one-dimensional characteristic approach and the original boundary conditions for the non-preconditioned case.
Rocznik
Strony
143--176
Opis fizyczny
Bibliogr. 41 poz., rys.
Twórcy
autor
  • Institut fur Thermische Stromungsmachinen und Maschinenlaboratotium, University of Stuttgart, Pfaffenwaldring 10, D-70550 Stuttgart, Germany
autor
  • Institut fur Thermische Stromungsmachinen und Maschinenlaboratotium, University of Stuttgart, Pfaffenwaldring 10, D-70550 Stuttgart, Germany
autor
  • Institut fur Thermische Stromungsmachinen und Maschinenlaboratotium, University of Stuttgart, Pfaffenwaldring 10, D-70550 Stuttgart, Germany
Bibliografia
  • [1] Lakshminarayana B 1996 Fluid Dynamics and Heat Transfer of Turbomachinery, John Wiley&Sons
  • [2] Chorin A J 1967 J. Comput. Phys. 2 12
  • [3] Patankar S 1980 Numerical Heat Transfer and Fluid Flow, McGraw-Hill, New York
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  • [5] Jameson A, Schmidt W and Turkel E 1981 AIAA Paper 81-1259
  • [6] Subramanian S V and Bozzola R 1987 AIAA Paper 87-1314
  • [7] Chima R V and Yokota J W 1988 NASA Rep. TM-100878
  • [8] Guerra J and Gustafsson B 1986 J. Comput. Phys. 63 377
  • [9] Rehm R and Baum H 1978 Journal of Research of the National Bureau of Standards 83 297
  • [10] Choi D and Merkle C 1985 AIAA J. 23 (3) 390
  • [11] Leer B v, Lec W T and Roc P 1991 AIAA Paper 91-1552-CP
  • [12] Turkcl E, Vatsa V and Radespiel R 1986 AIAA Paper 96-2460-CP
  • [13] Weiss J and Smith W 1994 AIAA Paper 94-2209
  • [14] Lee D, Leer B v and Lynn J F 1997 AIAA Paper 97-2024
  • [15] Merkle C L, Venkatcswaran S and Deshpande M 1995 Progress and Challenges in CFD Methods and Algorithms AGARD-CP-578, pp. 20.1-20.10
  • [16] Merz R, Kruckels J, Mayer J F and Stetter H 1995 ASME Paper 95-GT-76
  • [17] Jung A R, Mayer J F and Stetter H 1997 ASME Paper 97-GT-94
  • [18] Darmofal D L 1998 Computational Fluid Dynamics ’98, (cd.) Papailiou K D, Tsahalis D, Pcriaux J and Knorzer D, ECCOMAS, Wiley & Sons
  • [19] Merkle C L, Sullivan J A, Buclow P E O and Venkatswaran S 1998 AIAA J. 36 (4) 515
  • [20] Giles M B 1988 Rep. MIT, Computational Fluid Dynamics Laboratory TR-88-1
  • [21] Saxer A P and Giles M B 1993 AIAA J. Propulsion and Power 9 (2) 263
  • [22] Merz R 1998 Entwieklung eines Mehrgitterverfakrens zur numerischen Losung der dreidimen- sionalen, kompressiblen Navier-Stokes-Gleichungen in mehrstufigen Turbomaschinen, Dissertation, Universitat Stuttgart, Institut fur Thermische Stromungsmaschinen und Maschinen- laboratorium
  • [23] Baldwin B S and Lomax H 1978 AIAA Paper 78-257
  • [24] Stetter H, Pfost H, Giboni A and Anker J E 2000 FVV-Heft R 509
  • [25] Buclow P E O 1998 Preconditioning Methods at the Propulsion Engineering Center, Penn State University
  • [26] Merkle C L 1995 Computational Fluid Dynamics Review, ed. Hafez M, Oshima K, Wiley, Chichester, England, pp. 419-436
  • [27] Venkateswaran S and Merkle L 1999 VKI LS 1999-03
  • [28] Weiss J, Maruszewski J and Smith W 1999 AIAA J. 37 (1) 29
  • [29] Radespicl R and Rossow C 1987 Rep. DFVLR-IB 129-87/40
  • [30] Martinelli L 1987 Calculations of Viscous Flows with a Multigrid Method, PhD Thesis, MAE Department, Princeton University
  • [31] Radespicl R, Rossow C and Swanson R C 1989 AIAA Paper 89-1953
  • [32] Lee D 1996 Local Preconditioning of the Euler and Navier-Stokes Equations, PhD Thesis, University of Michigan
  • [33] Stetter H, Pfost H, Peters P, Lerner C, Mayer J F, Giboni A, Breising V and Anker J E 2001 FVV-Heft 706
  • [34] Radespier R and Swanson R C 1989 AIAA Paper 89-548
  • [35] Saxer A P 1992 A Numerical Analysis of 3-D Inviscid Stator/Rotor Interactions Using Non-Reflecting Boundary Conditions PhD Thesis, MIT Gas Turbine Laboratory
  • [36] Stetter H, Jung A R and Mayer J F 1996 Proc. IMechE Sem. Latest Advances in the Aerodynamics of Turbomachinery, S461, Rugby, UK
  • [37] Darmofal D L, Moinier P and Giles MB 2000 J. Comput. Phys. 160 (1) 369
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  • [41] Anker J E, Mayer J F and Stetter H 2001 Proc. 4th European Conference on Turbomachinery, Fluid Dynamics and Thermodynamics, Florence, Italy, pp. 641-652.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT3-0010-0071
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