Simulating the thermal dynamics of Lake Kinneret

Abstract In this study, we use the one-dimensional hydrodynamic model DYRESM to simulate the Lake Kinneret thermal structure over a period of 45 months. We focus on the application of a new version of the one-dimensional hydrodynamic model to Lake Kinneret and simulation of the physical processes. DYRESM is calibration-free process-based model that simulates the vertical distribution of temperature and salinity in lakes and reservoirs. The current model is a complete rewrite of the original DYRESM code. Each algorithm was simplified to the essential minimum physical description yielding a more robust and faster model. The new model underwent validation with a high quality dataset from Lake Kinneret. The model simulation reproduced the temperature of the surface layer of the water column to within less than 1 °C. Results of a sensitivity analysis indicated that the surface and bottom water temperatures were most sensitive to changes in long-wave radiation. We conclude from the results that the simplified version of DYRESM accurately simulated the physical processes in the lake although planned inclusion of a benthic boundary-layer routine will improve the model’s ability to simulate the bottom temperatures.

[1]  M. Straškraba,et al.  The thermal structure of Sau Reservoir (NE: Spain): a simulation approach , 2000 .

[2]  Moshe Gophen,et al.  Influence of long‐term climatic changes on the stratification of a subtropical, warm monomictic lake , 1994 .

[3]  David P. Hamilton,et al.  Prediction of water quality in lakes and reservoirs: Part II - Model calibration, sensitivity analysis and application , 1997 .

[4]  S. Hurwitz,et al.  Spatial and Temporal Characteristics of Saline Springs: Sea of Galilee, Israel , 1999, Ground water.

[5]  S. Effler,et al.  Water Quality Model Evaluations For Scenarios Of Loading Reductions And Diversion Of Domestic Waste Effluent Around Onondaga Lake , 1996 .

[6]  Jörg Imberger,et al.  Modeling the diurnal mixed layer , 1986 .

[7]  Craig Loehle,et al.  A hypothesis testing framework for evaluating ecosystem model performance , 1997 .

[8]  J. Imberger,et al.  Classification and dynamic simulation of the vertical density structure of lakes1 , 1984 .

[9]  Bernard C. Patten,et al.  10 – Total Ecosystem Model for a Cove in Lake Texoma* , 1975 .

[10]  F. Mero,et al.  Geochemical tracing of mineral and fresh water sources in the Lake Tiberias Basin, Israel , 1969 .

[11]  Jörg Imberger,et al.  The diurnal mixed layer1 , 1985 .

[12]  S. Assouline Estimation of lake hydrologic budget terms using the simultaneous solution of water, heat, and salt balances and a Kalman Filtering Approach: Application to Lake Kinneret , 1993 .

[13]  Heinz G. Stefan,et al.  Minlake: A dynamic lake water quality simulation model , 1988 .

[14]  G. Hansford,et al.  Modelling of a falling sludge bed reactor using AQUASIM , 2001 .

[15]  P. Hamilton Transport Models for Inland and Coastal Waters , 1982 .

[16]  C. Fandry,et al.  Selective withdrawal from a finite rectangular tank , 1976, Journal of Fluid Mechanics.

[17]  P. Reichert AQUASIM-a tool for simulation and data analysis of aquatic systems , 1994 .

[18]  Nathan P. Nibbelink,et al.  Potential effects of global climate change on small north-temperate lakes: Physics, fish, and plankton , 1996 .

[19]  Jörg Imberger,et al.  A DYNAMIC RESERVOIR SIMULATION MODEL - DYRESM: 5 , 1981 .

[20]  George C. Christodoulou,et al.  Interfacial mixing in stratified flows , 1986 .

[21]  J. Imberger,et al.  Entrainment and turbulence in saline underflow in Lake Ogawara , 2001 .

[22]  J. Imberger,et al.  Understanding the factors contributing to the rise in water temperature in a stratified lake using model simulations , 2002 .

[23]  Daniel L. Tufford,et al.  Spatial and temporal hydrodynamic and water quality modeling analysis of a large reservoir on the South Carolina (USA) coastal plain , 1999 .

[24]  L. Håkanson,et al.  Modelling the impact of water level fluctuations on water quality (suspended particulate matter) in Lake Kinneret, Israel. , 2000 .

[25]  B. Hicks,et al.  A procedure for the formulation of bulk transfer coefficients over water , 1975 .

[26]  J. Imberger,et al.  Collie River Underflow into the Wellington Reservoir , 1979 .

[27]  Gregory A. Lawrence,et al.  Simulation of Vertical Transport in Mining Pit Lake , 1999 .

[28]  R. Stull An Introduction to Boundary Layer Meteorology , 1988 .

[29]  T. Berman,et al.  Internal sources and sinks of water, P, N, Ca, and Cl in Lake Kinneret, Israel , 1989 .

[30]  M. Straškraba,et al.  The Effect of Light Extinction on Thermal Stratification in Reservoirs and Lakes , 1999, International Review of Hydrobiology.

[31]  G. Garven,et al.  Hydrogeological modeling of the saline hot springs at the Sea of Galilee, Israel , 1997 .

[32]  Sven Erik Jørgensen,et al.  State of the art of ecological modelling in limnology , 1995 .

[33]  H. Fischer Mixing in Inland and Coastal Waters , 1979 .