About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

Podsechin, Victor ; Schernewski, Gerald
Finite element modelling of flow and temperature regime in shallow lakes. (English). In: Brandts, J., Korotov, S., Křížek, M., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2013, In honor of the 70th birthday of Karel Segeth. Proceedings. Prague, May 15-17, 2013. Institute of Mathematics AS CR, Prague, 2013. pp. 177-184
MSC: 65M60, 65Z05, 76D05, 76M10, 86A05 | MR 3204442 | Zbl 1340.76052
Keywords:
depth-averaged flow; system of shallow water; continuity equation; temperature equation; Utnes scheme; upwinding Tabata method
Summary:
A two-dimensional depth-averaged flow and temperature model was applied to study the circulation patterns in the Oder (Szczecin) Lagoon located on the border between Germany and Poland. The system of shallow water and temperature evolution equations is discretized with the modified Utnes scheme [4], which is characterized by a semi-decoupling algorithm. The continuity equation is rearranged to Helmholtz equation form. The upwinding Tabata method [3] is used to approximate convective terms. Averaged flow fields under prevailing wind conditions in August were calculated. The temperature variations were also simulated during the flood period in summer 1997. Simulation results are presented and limitations of the model are discussed.
Partner of
EuDML logo