Development of projection and artificial compressibility methodologies using the approximate factorization technique

International Journal for Numerical Methods in Fluids - Tập 19 Số 11 - Trang 1013-1038 - 1994
A. Pentaris1, K. Nikolados1, S. Tsangaris1
1Laboratory of Aerodynamics, National Technical University of Athens, PO Box 64070, 15710 Zografou, Athens, Greece

Tóm tắt

AbstractPredictions for two‐dimensional, steady, incompressible flows under both laminar and turbulent conditions are presented. The standard k‐ϵ turbulence model is used for the turbulent flows. The computational method is based on the approximate factorization technique. The coupled approach is used to link the equations of motion and the turbulence model equations. Mass conservation is enforced by either the pseudocompressibility method or the pressure correction method. Comparison of the two methods shows a superiority of the pressure correction method. Second‐ and fourth‐order artifical dissipation terms are used in order to achieve good convergence and to handle the turbulence model equations efficiently. Several internal and external test cases are investigated, including attached and separated flows.

Từ khóa


Tài liệu tham khảo

10.2514/3.60901

10.1002/fld.1650071208

10.1016/0045-7825(74)90029-2

10.1016/0021-9991(67)90037-X

10.1002/fld.1650110509

Anderson H. I., 1989, Numerical simulation of unsteady viscous flow, Arch. Mech., 41, 207

S.Tsangaris M. P.ThomadakisandA.Pentaris ‘Numerical investigation of axisymmetric compressible viscous flow’ Proc. 1st Eur. Computational Fluid Dynamics Conf. Brussels 1992 pp.835–842.

10.1007/978-3-663-13975-1_38

A.Jameson W.SchmidtandE.Turkel ‘Numerical solutions of the Euler equations by finite volume methods using Runge‐Kutta time‐stepping schemes’ AIAA Paper 81–1259 1981.

10.2514/3.9550

10.1002/fld.1650141203

F.Dejean C.Vassilopoulos G.Simandirakis K. C.GiannakoglouandK. D.Papailiou ‘Analysis of 2‐D transonic turbomachinery flows using an explicit low‐Reynoldsk‐ε Navier‐Stokes solver’ Proc. 39th ASME Int. Gas Turbine and Aeroengine Congr. and Expos. The Hague June1994 in press.

10.1002/fld.1650110704

10.2514/3.8284

Gregory N., 1970, Aero Rep., 1308

S. J.ShamrothandH. J.Gibeling ‘The prediction of the turbulent flow feld about an isolated airfoil’ AIAA Paper 79–1543 1979.

M. C.Chaturvedi ‘Flow characteristics of axisymmetric expansions’ J. Hydraul. Div. 6–92(1963).

J. J.Kim ‘Investigation of separation and reattachment of a turbulent shear layer: flow over a backward facing step’ Ph.D. Thesis Stanford University 1978.

10.1002/fld.1650040802

Kwon O. K., 1981, Tech. Rep. ISU‐ERI‐Ames‐82019