Abstract
The paper summarizes our work on numerical modelling of Lake Baikal hydrodynamics. Two basic models are briefly described here. One of them is a time-dependent, free-surface model of variable density. As a deep lake is discussed, a nonlinear equation of state is used in which the density is a function both of temperature and pressure. One of the main applications of the model was for the climatic circulation of the lake. The scenario approach was applied for this purpose. The parameterization of atmospheric forcing was carried out by means of statistical methods on the basis of a meteorological classification of the pressure and wind fields above the lake. The second model is intended for the direct modelling of the convective movement in a deep temperate lake. The non-hydrostatic (NH) assumption is involved in it. Water is considered to be compressible. The results of numerical experiments with the 2D version of the NH model are discussed. The focus is on the features of the thermal bar in Lake Baikal in connection with the deep water renewal.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Chen, G. T. and F. J. Millero, 1986. Precise thermodynamic properties for natural waters covering only the limnological range, Limnol.Oceanogr. 31: 657–662.
Marchuk, G. I. 1974. Chislennoe reshenie zadach dinamiki atmosphery i okeana. Gidrometeoizdat, Leningrad: 303pp. [Numerical solution of atmosphere and ocean dynamics problems].
Marchuk, G. I., V. P. Kochergin, V. 1. Klimok and V. A. Sukchorukov, 1977. On the dynamics of the ocean surface mixed layer. J Phys. Oceanogr. 7: 865–875.
Penenko, V. V., 1981. Metody chislennogo modelirovaniya atmosfernych protsessov. Gidrometeoizdat, Leningrad: 352pp. [Methods of numerical modeling of atmospheric processes].
Penenko, V. V., A. E. Aloyan, N. M. Baghzin, 1. M. Bobyleva, G. I. Skubnevskaya and E. A. Tsvetova, 1989. Otsenka antropogennogo vozdeistviya na region ozera Baikal. Meteorologia i gidrologia 7: 76–84. [Estimation of the anthropogenic influence on the region of Lake Baikal].
Rzheplinsky, G. V. (ed.), 1977. Atlas volneniya i vetra ozera Baikal. Gidrometeoizdat, Leningrad: 118 pp. [Atlas of Wave and Wind Action of Lake Baikal].
Shimaraev, M. N. and N. G. Granin, 1991a. Temperaturnaya stratifikatsiya i mekhaninzm konvektsii v ozere Baikal. Dokl.Akad. Nauk SSSR 321: 381–385. [Temperature stratification and the mechanism of convection in Lake Baikal].
Shimaraev, M. N. and N. G. Granin, 1993. Deep ventilation of Lake Baikal waters due to spring thermal bars. Limnol. Oceanogr. 38: 1068–1072.
Tsvetova, E. A., 1972. Chislennaya model vetrovykh techenii v ozere Baikal. In V. P. Kochergin (ed.) Chislennye modeli okeanicheskoi tsirkulyatsii. Computing Center, Novosibirsk: 58–68. [Numerical model of wind-driven currents in Lake Baikal].
Tsvetova, E. A. 1974. Nestatsionarnie vetrovie techeniya v ozere Baikal. In V. P. Kochergin (ed.). Chislenniye metodi dlya rascheta okeanicheskich techenii. Computing Center, Novosibirsk: 115–128. [Time-dependent wind-driven currents in Lake Baikal].
Tsvetova, E. A., 1977. Matematicheskoe modelirovanie tsirkulyatsii v ozere Baikal. In A. N. Afanasiev and V. I. Verbolov (ed.), Techenia v Baikale. Nauka, Novosibirsk: 63–82. [Mathematical modeling of Lake Baikal circulation].
Tsvetova, E. A., 1979a. Numerical modeling of the dynamics of Lake Baikal. IIASA, Laxenburg, 79–4: lOpp.
Tsvetova, E. A., 1979b. O parameterizatsii atmosfernykh vozdeistvii v zadachach dinamiki morya. Meteorologia i Gidrologia 2: 105108 [On the parameterization of the atmospheric influence in the problems of the numerical modeling of sea dynamics].
Tsvetova, E. A., 1990. Chislennoe modelirovanie vesennego pro-greva ozera Baikal. In V. V. Penenko (ed.), Gidrodinamicheskie modeli okruzhayushchei sredy. Computing Center, Novosibirsk: 111–119. [Numerical modeling of Lake Baikal spring heating].
Tsvetova, E. A., 1992. Modelirovanie otklika Baikala na silnie vetry. In V. V. Penenko (ed.), Matematicheskoe modelirovanie dinamiki atmosphery i okeana. Computing Center, Novosibirsk: 129–144. [Modeling of the Baikal response to the strong winds].
Tsvetova, E. A., 1993. Compressibility effects in lake hydrodynamics. Bulletin of the Novosibirsk Computing Center. Series: Numerical modelling in atmosphere, ocean and environment studies 1: 91–103.
Tsvetova, E. A., 1995. A numerical model of thermal bar in Lake Baikal. Bulletin of the Novosibirsk Computing Center. Series: Numerical modelling in atmosphere, ocean and environment studies 2: 85–103.
Weiss, R. F., E. C. Carmack and V. M. Koropalov, 1991. Deep water renewal and biological production in Lake Baikal. Nature 349: 665–669.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Tsvetova, E.A. (1999). Mathematical modelling of Lake Baikal hydrodynamics. In: Lindqvist, O.V., Mölsä, H., Salonen, K., Sarvala, J. (eds) From Limnology to Fisheries: Lake Tanganyika and Other Large Lakes. Developments in Hydrobiology, vol 141. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1622-2_3
Download citation
DOI: https://doi.org/10.1007/978-94-017-1622-2_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5339-8
Online ISBN: 978-94-017-1622-2
eBook Packages: Springer Book Archive