Numerical Modeling of the Depth-Averaged Flow Over a Hill
Authors: Anna Avramenko, Heikki Haario
Abstract:
This paper reports the development and application of a 2D1 depth-averaged model. The main goal of this contribution is to apply the depth averaged equations to a wind park model in which the treatment of the geometry, introduced on the mathematical model by the mass and momentum source terms. The depth-averaged model will be used in future to find the optimal position of wind turbines in the wind park. κ − ε and 2D LES turbulence models were consider in this article. 2D CFD2 simulations for one hill was done to check the depth-averaged model in practise.
Keywords: Depth-averaged equations, numerical modeling, CFD
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1107245
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1942References:
[1] B.C. Yen, R. Camacho, R. Kohane, and B. Westrich. Signifiance of flood plains in backwater computation. Proc. 21st Congress of IAHR, Melbourne, pp.439-445, 1985.
[2] D. Bousmar. Flow modelling in compound channels. Momentum transfer between main channel and prismatic or non-prismatic floodplains. PhD thesis, Catholic University of Louvain, France, 2002.
[3] J.A. Liggett. Fluid mechanics. Mc Graw Hill, New-York, 1994.
[4] J. Hamalainen, T. Tiihonen. Modelling and simulation of fluid flows in a paper machine headbox. ICIAM 95, Issue 4: Applied sciences, especially mechanics (minisymposia) edited by E. Kreuzer, O. Mahrenholtz. pp. 62-66, Hamburg, 1995.
[5] J. Hamalainen, T. Tiihonen, E. Madetoja, H. Ruotsalainen. CFD-based optimization for a complete industrial process: Papermaking. Optimization and Computational Fluid Dynamics edited by D. Thevenin, G. Janiga. Springer-Verlag Berlin Heidelbrg, 2008.
[6] L. Cea, J. French, M. Vazquez-Cendon. Numerical modelling of tidal flows in complex estuaries including turbulence: An unstructured finite volume solver and experimental validation. Internetional Journal for Numerical Methods in Engineering, 67:1909-1932, 2006.
[7] M. Lyytikainen. Modelling and Optimising of Chevron-type Plate Heat Exchangers. PhD thesis, University of Kuopio, Finland, 2009.
[8] M. Lyytikainen, T. Hamalainen, J. Hamalainen. Development of a fast modelling tool for heat exchangers based on depth-averaged equations
[9] W. Rodi. Turbulence Models and Their Application in Hydraulics. A State of the Art Review. Ashgate Pub Co, 1984
[10] V. Solbakov. Application of Mathematical Modeling for Water Environment Problems. PhD thesis, University of Jyvaskyla, Finland, 2004.