Abstract
Results from the parallelization of a three-dimensional incompressible Navier-Stokes programme are presented. The programme is based on the artificial compressibility method for coupling the continuity with the momentum equations. The convection terms are discretized by a third order upwind characteristic based method. Second order central differences are used for the viscous terms. The time integration is obtained by an explicit Runge-Kutta scheme. The Navier-Stokes method has been parallelized using shared memory as well as message-passing models. Computations have been performed for a straight three-dimensional channel of rectangular cross-section. The efficiency of the parallel models is presented for different grid sizes and number of processors.
the initial part of the work was done when the author was still at the Department of Fluid Mechanics of the University of Erlangen-Nuremberg
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Drikakis, D., Durst, F., 1994, Numerical simulation of three-dimensional incompressible flows by using high order schemes, 1995, Proceedings of the Second Summer Conference on Numerical Modelling in Continuum Mechanics held in Prague, 22–25 August 1994, Edited by M. Feistauer et al., pp 79–88.
Drikakis, D., Govatsos, P., Papantonis, D., 1994, A characteristic based method for incompressible flows, Int. J. Num. Meth. Fluids, 19, pp 667–685.
Beavers, G. S., Sparrow, E. M., Magnusson, R. A., 1970, Experiments on hydrodynamically developing flow in rectangular ducts, Int. J. of Heat Mass and Transfer, 13, No. 4, pp. 689–693.
Goldstein, R. J., Kreid, D. K., 1967, Measurement of laminar flow development in a square duct using a laser-doppler flowmeter, J. of Applied Mechanics, Series E, 89, No. 4, pp. 813–818.
Drikakis, D., Schreck, E., Durst, F., 1994, Performance analysis of viscous flow computations on various parallel architectures, ASME Journal of Fluids Engineering, 1994, 116, 835–841.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1996 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden
About this chapter
Cite this chapter
Drikakis, D., Zahner, R. (1996). Study of Incompressible Flows in Rectangular Channels Using High Order Schemes and Parallel Computing. In: Deville, M., Gavrilakis, S., Ryhming, I.L. (eds) Computation of Three-Dimensional Complex Flows. Notes on Numerical Fluid Mechanics (NNFM), vol 49. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-89838-8_8
Download citation
DOI: https://doi.org/10.1007/978-3-322-89838-8_8
Publisher Name: Vieweg+Teubner Verlag
Print ISBN: 978-3-322-89840-1
Online ISBN: 978-3-322-89838-8
eBook Packages: Springer Book Archive