The paper is concerned with 2D hydrodynamic models of flows and related hydrophysical processes in river channels, lakes and reservoirs in particular for the case of stratified flows. Such models are used in the physical limnology and river hydrology for a study of flow patterns, e.g. in the branched areas, when the problem under certain assumptions may be reduced to the 2-dimensional case. Special attention is given to the modelling of stratified bodies of water with a complex configuration, which can be represented (or composed) as a system of longitudinal and meridional arms. On the basis of the fractional step method and using implicit schemes we have developed a numerical model of the hydrophysical processes in bodies of water with a complex topological structure, which is described by a tree graph. Test calculations have shown the effectiveness of our mathematical model and numerical method.
Author(s):
Vasiliev O FDr. , Academician RAS, Professor
Position: Councilor
Address: 630090, Russia, Novosibirsk
Phone Office: (383) 330 20 05
E-mail: vasiliev@ad-sbras.nsc.ru
Voevodin A FDr. , Professor
Position: General Scientist
Office: Lavrentiev Hydrodynamic Institute OfSB RAS
Address: 630090, Russia, Novosibirsk
Phone Office: (383) 333 17 82
E-mail: voevodin@hydro.nsc.ru
Nikiforovskaya V SPhD. , Senior Scientist
Position: Senior Research Scientist
Address: 198330, Russia, Novosibirsk
Phone Office: (383) 333 17 82
E-mail: voevodin@hydro.nsc.ru