Multiblock parallel computation of an incompressible 3-D flow in turbomachines

• Autorzy: Papierski A. , Rabiega M.
• Języki publikacji: EN

Abstrakty

EN

A finite volume numerical method for the prediction of a fluid flow in complex geometries such as turbomachinery channels has been parallelized using a domain decomposition approach. A mathematical formulation of a 3-D incompressible steady flow has been presented on the basis of the N-S equations in a grid-oriented co-ordinate system with contravariant velocity components. A parallelized pressure-based implicit algorithm with discretization on a staggered grid has been developed. A message exchange system with a boundary exchange, developed by the authors, has been described. Exemplary calculations have been carried out for a laminar flow through a curved duct and for an inviscid flow through a stage of the centrifugal pump. A good agreement has been obtained in both the cases. Despite considerable simplification that has been introduced in the flow through the pump stage, the computations have shown nearly the same pressure rise in the stage as the measurements. Further directions of numerical investigations of a flow through turbomachines, including in particular those devoted to pressure losses related to the rotor-stator interaction, have been mentioned.

Słowa kluczowe

EN

numerical simulations; turbomachinery; incompressible flow; 3D Navier-Stockes solver; Navier-Stokes solver; parallel computing

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 1999
• Tom: Vol. 3, No 1
• Strony: 39--52
• Opis fizyczny: Bibliogr. 17 poz., rys.

Twórcy

autor

Papierski A.

• Institute of Turbomachinery, Technical University of Lodz, Wolczanska 219/223, 93-005 Lodz, Poland

autor

Rabiega M.

• Institute of Turbomachinery, Technical University of Lodz, Wolczanska 219/223, 93-005 Lodz, Poland

Bibliografia

• [1] Lakshminarayana B., An assessment of computational fluid dynamics techniques in the analysis and design of turbomachinery - the 190 Freeman Scholar lecture, J. Fluids Eng., 113, 1991, pp. 315-352
• [2] Seidl V., Peric M., Schmidt S., Space- and time-parallel Navier-Stokes solver for 3D block adaptive cartesian grids, Parallel Computational Fluid Dynamics, Elsevier Science, Pasadena 1995, pp. 577-584
• [3] Schieweck F., Multigrid convergence rates of a sequential and a parallel Navier- Stokes solver, Notes on Numerical Fluid Mechanics, 49, Vieweg Braunschweing
• [4] Patankar S. V., Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington DC 1980
• [5] Synge J. L., Schild A., Rachunek tensorowy, PWN, W-wa 1964
• [6] Kazimierski Z., Numeryczne wyznaczanie trojwymiarowych przepbywow turbulentnych, Ossolineum, Wroclaw 1992
• [7] Rabiega M., Kazimierski Z., Trojnarski J., Korycka J., 3D gas flow through rotating channels — an elliptic approach, Zeszyty Naukowe PL — CMP, 109, Lodz 1995, pp. 131-141
• [8] Magagnato F., “KAPPA” — Karlsruhe parallel program for aerodynamics, TASK Quarterly 2, No 2, ACG Gdansk 1998, pp. 215-270
• [9] Ferziger J. H., Peric M., Computational Methods for Fluid Dynamics, Springer Verlag 1996
• [10] Lilek Z., Muaferija S., Peric M., Seidl V., An implicit finite-volume method using nonmatching blocks of structured grid, Numer. Heat Transfer, Part B, 32, 1997, pp. 385-401
• [11] Thakur S., Shyy W., Udaykumar H., Hill L., Multiblock interface treatments in a pressure-based flow solver, Numer. Heat Transfer, Part B, 33, 1998, pp. 367-396
• [12] Foster I., Designing and building parallel programs, Addison-Wesley Publishing Company 1995
• [13] Degani A. T., Fox G. C., Application ofparallel multigrid methods to unsteady flow: a performance equation, Elsevier Science, Pasadena 1995, pp. 331-338
• [14] Humphrey J. A. C., Taylor A. M. K., Whitelaw J. H., Laminar flow in a square duct of strong curvature, J. Fluid Mech., 83, 1977, pp. 509-527.
• [15] Petuhov B., Teploobmen i soprotivlenie pri laminarnom tecenii zidkosti v trubah, Energija, Moskva 1967 (in Russian)
• [16] Blaszczyk A. et al., Badanie przeplywu w wielostopniowych pompach odsrodkowych, Opracowanie wewnqtrzne IMP PL, Lodz 1994
• [17] Kazimierski Z., Opisanie rzeczywistego przeplywu przez stopieh maszyny przepfywowej przy pomocy parametrow usrednionych, CMP, 34, 1961, pp. 16-30