Abstract
This paper deals with the numerical simulation of the turbulent flow using the vorticity-velocity formulation by Boundary Element Method (BEM). A time averaged form of the Navier-Stokes equations is employed through the Reynolds decomposition of the instantaneous value of each variable. Turbulent stress terms are interpreted in the Boussinesq manner and Prandtl’s mixing length hypothesis is used. Only algebraic turbulent model is considered in this paper.
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References
Alujevic A., Kuhn G., Skerget P.: “Boundary Elements for the Solution of Navier-Stokes Equations”, Computer Methods in Applied Mechanics and Engineering, p.p. 1187–1201,, 1991.
Brebbia C.A., Telles J.F.C., Wrobel L.C.: Boundary Element Methods Theory and Applications, Springer-Verlag, New York, 1984.
Chien K. Y.: “Predictions of Channel and Boundary-Layer Flows with a Low Reynolds Number Turbullence Model”, AIAA Journal, Vol. 20, No.1, 1982.
Martinuzzi R., Pollard A.: “Comparative Study of Turbulence Models in Predicting Turbulent Pipe Flow, Part I: Algebraic Stress and k-∈ Models”, AIAA Journal, Vol. 27, p.p. 29–36, No. 1, 1989.
Nagano Y., Kim C.: “A Two-Equation Model for Heat Transport. in Wall Turbulent Shear Flows”, Journal of Heat Transfer, Vol. 110, p.p. 583–589, 1987.
Patel V.C., Rodi W., Scheurer G.: “Evaluation of Turbulence Models for Near-Wall and Low-Reynolds Number Flows”, Proceedings, 3rd Symposium on Thrbulent Shear Flows, University of California, 1981.
Ruprecht A.: “Turbulence modeling”,CFD’90-Intensive Course on Computational Fluid Mechanics and Heat Transfer, Turboistitut, Ljubljana, 1990.
Skerget P., Kuhn G., Alujevic A., Brebbia C.A.: “Time Depended Transport Problems by BEM”, Advances in Water Resources, Vol. 12, p.p. 9–20, No. 1, 1989.
Tennekes H., Lumly J.L.: A first Course in Thrbulence, Boston, The MIT Press, 1972.
Tosaka N., Kakuda K.: “Numerical Simulations of Laminar and Turbulent Flows by Using an Integral Equations”, BEM IX, Vol. 3, 1987.
Tong G.D.: “Fundamental considerations in Computational Fluid Mechanics”, Eight Australasian Fluid Mechanics Conference, University of Newcastle, N.S.V., 1983.
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© 1992 Computational Mechanics Publications
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Rek, Z., Skerget, L., Alujevic, A. (1992). Vorticity-Velocity Formulation for Turbulent Flow by BEM. In: Brebbia, C.A., Partridge, P.W. (eds) Boundary Elements in Fluid Dynamics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2876-6_9
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DOI: https://doi.org/10.1007/978-94-011-2876-6_9
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-85166-780-2
Online ISBN: 978-94-011-2876-6
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