Finite element modelling of flow and temperature regime in shallow lakes

Podsechin, Victor; Schernewski, Gerald

  • Applications of Mathematics 2013, Publisher: Institute of Mathematics AS CR(Prague), page 177-184

Abstract

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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.

How to cite

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Podsechin, Victor, and Schernewski, Gerald. "Finite element modelling of flow and temperature regime in shallow lakes." Applications of Mathematics 2013. Prague: Institute of Mathematics AS CR, 2013. 177-184. <http://eudml.org/doc/287840>.

@inProceedings{Podsechin2013,
abstract = {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.},
author = {Podsechin, Victor, Schernewski, Gerald},
booktitle = {Applications of Mathematics 2013},
keywords = {depth-averaged flow; system of shallow water; continuity equation; temperature equation; Utnes scheme; upwinding Tabata method},
location = {Prague},
pages = {177-184},
publisher = {Institute of Mathematics AS CR},
title = {Finite element modelling of flow and temperature regime in shallow lakes},
url = {http://eudml.org/doc/287840},
year = {2013},
}

TY - CLSWK
AU - Podsechin, Victor
AU - Schernewski, Gerald
TI - Finite element modelling of flow and temperature regime in shallow lakes
T2 - Applications of Mathematics 2013
PY - 2013
CY - Prague
PB - Institute of Mathematics AS CR
SP - 177
EP - 184
AB - 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.
KW - depth-averaged flow; system of shallow water; continuity equation; temperature equation; Utnes scheme; upwinding Tabata method
UR - http://eudml.org/doc/287840
ER -

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