Abstract
The FRESCO (Finnish Russian Estonian Cooperation) mathematical model describing a marine hydroecosystem is presented. The methodology of the numerical solution is based on the method of multicomponent splitting into physical and biological processes, spatial coordinates, etc. The model is used for the reproduction of physical and biological processes proceeding in the Baltic Sea. Numerical experiments are performed with different spatial resolutions for four marine basins that are enclosed into one another: the Baltic Sea, the Gulf of Finland, the Tallinn-Helsinki water area, and Tallinn Bay. Physical processes are described by the equations of nonhydrostatic dynamics, including the k-ω parametrization of turbulence. Biological processes are described by the three-dimensional equations of an aquatic ecosystem with the use of a size-dependent parametrization of biochemical reactions. The main goal of this study is to illustrate the efficiency of the developed numerical technique and to demonstrate the importance of a high spatial resolution for water basins that have complex bottom topography, such as the Baltic Sea. Detailed information about the atmospheric forcing, bottom topography, and coastline is very important for the description of coastal dynamics and specific features of a marine ecosystem. Experiments show that the spatial inhomogeneity of hydroecosystem fields is caused by the combined effect of upwelling, turbulent mixing, surface-wave breaking, and temperature variations, which affect biochemical reactions.
Similar content being viewed by others
References
D. M. Alongi, Coastal Ecosystem Processes (CRC, Boca Raton, FL, 1998).
R. A. Armstrong, “Stable Model Structure for Representing Biogeochemical Diversity and Size Spectra in Plankton Communities,” J. Plankton Res. 21, 445–464 (1999).
J. L. Martin and S. C. McCutcheon, Hydrodynamics and Transport for Water Quality Modelling (Lewis, New York, 1999).
R. Tamsalu, “The Coupled 3D Hydrodynamic and Ecosystem Model FINEST,” MERI 35, 166 (1998).
R. Tamsalu, V. B. Zalesny, P. Ennet, et al., “The Modelling of Ecosystem Processes in the Gulf of Finland,” Proc. Estonian Acad. Sci., Biol., Ecol. 52(3), 332–345 (2003).
V. B. Zalesny, R. Tamsalu, and A. Mannik, “Multidisciplinary Numerical Model of a Coastal Water Ecosystem,” Russ. J. Numer. Anal. Math. Model. 23, 207–222 (2008).
V. P. Dymnikov and A. N. Filatov, Mathematics of Climate Modeling, (Birkhauser, 1997).
V. P. Dymnikov, V. N. Lykosov, E. M. Volodin, et al., in Current Problems of Computational Mathematics and Mathematical Modeling, Vol. 2, Mathematical Modeling (Nauka, Moscow, 2005), pp. 38–175 [in Russian].
V. P. Dymnikov, Stability and Predictability of Large-Scale Atmospheric Processes (IVM RAN, Moscow, 2007) [in Russian].
G. I. Marchuk, Splitting Methods (Nauka, Moscow, 1988) [in Russian].
P. Ennet, H. Kuosa, and R. Tamsalu, “The Influence of Upwelling and Entrainment on Algal Bloom in the Baltic Sea,” J. Marine Syst. 25, 359–367 (2000).
V. B. Zalesny, R. E. Tamsalu, and T. Kullas, “Nonhydrostatic Model of Sea Circulation,” Okeanologiya 44, 495–506 (2004).
S. N. Moshonkin, R. Tamsalu, and V. B. Zalesny, “Modeling Sea Dynamics and Turbulent Zones on Nested Grids with a High Resolution,” Okeanologiya 47, 805–815 (2007).
J. C. Warner, C. R. Sherwood, H. G. Arango, et al., “Performance of Four Turbulence Closure Models Implemented Using a Generic Length Scale Method,” Ocean Model. 8, 81–113 (2005).
W. Hamza, P. Ennet, R. Tamsalu, and V. Zalesny, “The 3D Physical-Biological Model Study in the Egyptian Mediterranean Coastal Sea,” Aquatic Ecol. 37, 307–324 (2003).
R. Tamsalu and P. Ennet, “Ecosystem Modelling in the Gulf of Finland. II. The Aquatic Ecosystem Model FINEST,” Estuar. Coast. Shelf Sci. 41, 429–458 (1995).
G. I. Barenblatt, Scaling, Self-Similarity, and Intermediate Asymptotics (Cambridge Univ. Press, Cambridge, 1996).
C. Moloney and J. G. Field, “The Size-Dependent Dynamics of Plankton Food Webs I: A Simulation Model of Carbon and Nitrogen Flows,” J. Plankton Res. 13, 1003–1038 (1991).
V. B. Zalesny, “Mathematical Model of Sea Dynamics in a σ-Coordinate System,” Russ. J. Numer. Anal. Math. Model. 20, 97–113 (2005).
A. Mannik, R. Room, and A. Luhamaa, “Nonhydrostatic Generalization of a Pressure-Coordinate-Based Hydrostatic Model with Implementation in HIRLAM: Validation of Adiabatic Core,” Tellus A 55, 219–231 (2003).
M. M. Zaslavskii, V. B. Zalesny, I. M. Kabatchenko, and R. Tamsalu, “Self-Consistent Description of the Atmospheric Boundary Layer, Wind Waves, and Sea Currents,” Okeanologiya 46, 178–188 (2006).
V. I. Agoshkov, A. V. Gusev, N. A. Diansky, et al., “An Algorithm for the Solution of the Ocean Hydrothermodynamics Problem with Variational Assimilation of the Sea Level Function Data,” Russ. J. Numer. Anal. Math. Model. 22, 133–162 (2007).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.B. Zalesny, R. Tamsalu, 2009, published in Izvestiya AN. Fizika Atmosfery i Okeana, 2009, Vol. 45, No. 1, pp. 108–122.
Rights and permissions
About this article
Cite this article
Zalesny, V.B., Tamsalu, R. High-resolution modeling of a marine ecosystem using the FRESCO hydroecological model. Izv. Atmos. Ocean. Phys. 45, 102–115 (2009). https://doi.org/10.1134/S0001433809010071
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0001433809010071