4 Summary and Conclusions
We have demonstrated the rich set of hydrodynamic phenomena that operate in a natural lake. State-of-the-art experimental methods yeild a wealth of data that are highly resolved in time and in one space axis. The orthogonal space is sampled only very sparsely, however. Still, such data allow the estimation of crucial effective parameters like vertical diffusion coefficients. Numerical simulations, on the other hand, yeild high resoution results for theentire space. They are thus inherently more powerful than experimental observations and heuristic analysis whenever a complicated to pography is crucial. However, even with the current most advanced slovers, such high-resolution studies of most phenomena on realistic time scales is beyond reach. Confining experiemntal and numerical approaches hence appears as the optimal way to reach a deeper understanding of the lake hydrodynamics.
This work has been supported by the German Research Foundation (DFG) through SFB 359 (Project D2) at the University of Heidelberg.
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References
Barrett, R, Berry, M., Chan, T., Donato, J., Dongarra, J: Templates for the solution of linear systems: building blocks for iterative methods. SIAM (1994)
Dennis, J., More, J.: Quasi-newton methods, motivation and theory, SIAM Re-view, 19, 46–89 (1977)
Feuchter, D., Stemmermann, U., Wittum, G.: Description and generation of geometries and grids for layered domains. 17th GAMM Seminar Leipzig on Construction of Grid Generation Algorithms, 2001.
Glowinski, R., Periaux, J.: Numerical methods for nonlinear problems in fluid dynamics. Supercomputing. State-of-the-Art, 81–479 (1987)
Garrett, C, Munk, W.: Internal waves in the ocean. Annu. Rev. Fluid. Mech., 11, 339–369 (1979)
Goudsmit, G.H., Peeters, F., Gloor, M., Wüest, A.: Boundary versus internal diapycnal mixing in stratified natural waters. J. Geoph. Res., 102(13), 27903–27914 (1997)
Gloor, M., Wüest, A., Münnich, M.: Benthic boundary mixing and resuspension induced by internal seiches. Hydrobiologia, 284, 59–68 (2000)
Hackbusch, W.: Multigrid Methods and Applications. Springer (1992)
Hackbusch, W.: Iterative Lösung großer schwachbesetzter Gleichungssysteme. Teubner (1992)
Hondzo, M., Haider, Z.: Boundary Mixing in a small stratified lake. Water Re-sour. Res., 40, W03101, pp. 12, doi:10.1029/2002WR001851 (2004)
Jassby, A., Powell, T.: Vertical patterns of eddy diffusion during stratification in Castle lake, California. Limn. Ocean., 200(4), 530–543 (1975)
Lu, Y., Lueck, R.B.: Using a broadband ADCP in a tidal channel. J. Atmos. Ocean. Tech., 16, 1556–1567 (1999)
Nagele, S.: Mehrgitterverfahren für die inkompressiblen Navier-Stokes Gleichungen im laminaren und turbulenten Regime unter Berücksichtigung verschiedener Stabilisierungsmethoden, PhD thesis, IWR, University of Heidelberg (2004)
Ollinger, D.: Modellierung von Temperatur, Turbulenz und Algenwachstum mit einem gekoppelten physikalisch-biologischen Modell. PhD Thesis, University of Heidelberg (1999)
Quay, P.D., Broecker, W.S., Hesslein, R.H., Schindler, D.W.: Vertical diffu-sion rates determined by tritium tracer experiments in the thermocline and hypolimnion of two lakes. Limn. Ocean., 25(2), 201–218 (1980)
Rannacher, R.: Numerische Methoden fur Probleme der Ströomungsmechanik. Script, IWR-Numerical Methods, University of Heidelberg (2001)
Rentz-Reichert, H.: Robuste Mehrgitterverfahren zur Lösung der inkompress-iblen Navier-Stokes Gleichung: ein Vergleich, PhD thesis, IWR, University of Heidelberg (1996)
Sandier, B.: Die Wirkung von Sanierungs-und Restaurierungsmaßnahmen auf die Nährstoffströme und die biotische Dynamik eines anthropogenen Gewässers, am Beispiel des Willersinnweihers/Ludwigshafen. PhD Thesis, ibidem-Verlag, Stuttgart (2004)
Schneider, G. Raw, M: Control volume finite-element method for heat transfer and fluid flow using colocated variables, Numerical Heat Transfer, 11, 363–390 (1987)
Bastian, P., Birken, K., Johannsen, K., Lang, S., Eckstein, K., Neuss, N., Rentz-Reichert, H. Wieners, C, UG — a flexible software toolbox for solving partial differential equations. Computing and Visualization in Science, 1, 27–40 (1997)
Van der Vorst, H.: Bi-cgstab: a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems. SIAM J Sci Stat Comp, 13, 631–644 (1992)
Wüest, A., Lorke A.: Small-scale hydrodynamics in lakes. Annu. Rev. Fluid Mech., 35, 373–412 (2003)
Wollschläger, U.: Kopplung zwischen Oberflächengewässer und Grundwasser: Modellierung und Analyse von Umwelttracern. PhD Thesis, University of Hei-delberg (2003)
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von Rohden, C., Hauser, A., Wunderle, K., Ilmberger, J., Wittum, G., Roth, K. (2007). Lake Dynamics: Observation and High-Resolution Numerical Simulation. In: Jäger, W., Rannacher, R., Warnatz, J. (eds) Reactive Flows, Diffusion and Transport. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-28396-6_23
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