A three-dimensional numerical model for the calculation of complex flow and transport phenomenas in reservoirs
Summary
This paper presents a real three-dimensional numerical model for the calculation of complex flow and transport phenomenas in reservoirs and lakes. The turbulent processes are simulated with the large-eddy technique. Finite elements of arbitrary shape and with unstructured mesh topology are used to approximate spatial operators. The model is verified by the calculation of a straight channel flow and the comparison with data from the literature. Additionally a physical model experiment is recalculated for the verification of the model in complex geometries. Furthermore a field validation is presented where an observed inflow of turbid water into a reservoir is recalculated. After this validation of the model the reaction of the reservoir to different wind conditions is examined.
Keywords
Transport Simulation Physical Model Experiment Subgrid Scale Stress Triangle Filter Density Dependent FlowPreview
Unable to display preview. Download preview PDF.
Literature
- 1.Bergen, O.; Forkel, C.; Köngeter, J. (1995): Berechnung der Trübstoffausbreitung in der Dreilägerbachtalsperre, final report, Institut für Wasserbau und Wasserwirtschaft, RWTH Aachen.Google Scholar
- 2.Daniels, H. (1992): PASTIS-3D, Finite-Element Projection Algorithm Solver for Transient Incompressible Flow Simulations, UCRL-MA-I 11833, Lawrence Livermore National Laboratory, California, USA.Google Scholar
- 3.Forkel, C.; Birkhölzer, J.; Rouvé, G. (1994): A Finite Element Formulation for Large Eddy Simulations, Proceedings of the Xth International Conference on Computational Methods in Water Resources, Ed. A. Peters et al., Kluwer Academic Publishers, pp. 1217-1224.Google Scholar
- 4.Forkel, C. (1995): Die Grobstruktursimulation turbulenter Strömungs-und Stoffausbreitungsprozesse in komplexen Geometrien, Ph.D Thesis, to be published in Mitteilungshefte des Instituts für Wasserbau und Wasserwirtschaft, No. 102, RWTH Aachen.Google Scholar
- 5.Forkel, C.; Bergen, O.; Rouvé, G. (1994): Numerical Simulation of Density Dependent Flow and Heat Transport in Natural Reservoirs, Proceedings of the 1st International Conference on Flow Interaction, Hong Kong, pp. 539-542.Google Scholar
- 6.Germano, M.; Piomelli, U.; Moin, P.; Cabot, W.H. (1991): A Dynamic Subgrid-Scale Eddy Viscosity Model, Phys. Fluids A, Vol. 3, pp. 1760–1765.MATHCrossRefGoogle Scholar
- 7.Gresho, P.M. (1990): On the Theory of Semi-Implicit Projection Methods for Viscous Incompressible Flow and Its Implementation Via a Finite Element Method that also Introduces a Nearly-Consistent Mass Matrix, Part 1: Theory, Internationaljournal for Numerical Methods in Fluids, Vol. 11, J. Wiley & Sons, Inc., pp. 587-620.Google Scholar
- 8.Laska, M. (1981): Characteristics and modelling of physical limnology processes; Mitteilungsheft Nr. 54 der Versuchsanstalt für Wasserbau, Hydrologie und Glaziologie, ETH Zürich, Hrsg.: Prof. Dr. D. Vischer.Google Scholar
- 9.Leismann, H.M.; Frind, E.O. (1989): A Symmetric-Matrix Time Integration Scheme for the Efficient Solution of Advection-Dispersion Problems, Water Resources Research, Vol. 25, No. 6, pp. 1133–1139.CrossRefGoogle Scholar
- 10.Lilly, D.K. (1992): A Proposed Modification of the Germano Subgrid-Scale Closure Method, Phys. Fluids A, Vol. 4, No. 3, pp. 633–635.MathSciNetCrossRefGoogle Scholar
- 11.Piomelli, U.; Ferziger, J.H.; Moin, P. (1987): Models for Large Eddy Simulations of Turbulent Channel Flows Including Transpiration, Report TF-32, Department of Mechanical Engineering, Stanford University, California.Google Scholar
- 12.Smagorinsky, J. (1963): General Circulation Experiments with the Primitive Equations, I. The Basic Experiment, Monthly Weather Review, Vol. 91, pp. 99–104.CrossRefGoogle Scholar
- 13.Unger, F.; Friedrich, R. (1993): Numerical Simulation of Fully-Developed Turbulent Pipe Flow, Notes on Numerical Fluid Mechanics, Vol. 38, Vieweg Verlag, Braunschweig, pp. 201–215.Google Scholar