Application of a coupled discontinuous–continuous Galerkin finite element shallow water model to coastal ocean dynamics

2005 ◽  
Vol 10 (3-4) ◽  
pp. 283-315 ◽  
Author(s):  
Cheryl Ann Blain ◽  
T. Christopher Massey
Keyword(s):  
Finite Element ◽  
Shallow Water ◽  
Coastal Ocean ◽  
Ocean Dynamics ◽  
Water Model ◽  
Shallow Water Model ◽  
Galerkin Finite Element ◽  
Continuous Galerkin

A two-dimensional finite element drying-wetting shallow water model for rivers and estuaries

2000 ◽  
Vol 23 (4) ◽  
pp. 359-372 ◽  
Author(s):  
Mourad Heniche ◽  
Yves Secretan ◽  
Paul Boudreau ◽  
Michel Leclerc
Keyword(s):  
Finite Element ◽  
Shallow Water ◽  
Water Model ◽  
Two Dimensional ◽  
Shallow Water Model ◽  
Dimensional Finite Element

scholarly journals Simulation of Ocean Circulation of Dongsha Water Using Non-Hydrostatic Shallow-Water Model

Water ◽  
2020 ◽  
Vol 12 (10) ◽  
pp. 2832 ◽  
Author(s):  
Shin-Jye Liang ◽  
Chih-Chieh Young ◽  
Chi Dai ◽  
Nan-Jing Wu ◽  
Tai-Wen Hsu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Wave Propagation ◽  
Free Surface ◽  
Hydrostatic Pressure ◽  
Velocity Field ◽  
Shallow Water ◽  
Shallow Water Equations ◽  
Water Model ◽  
Shallow Water Model

A two-dimensional non-hydrostatic shallow-water model for weakly dispersive waves is developed using the least-squares finite-element method. The model is based on the depth-averaged, nonlinear and non-hydrostatic shallow-water equations. The non-hydrostatic shallow-water equations are solved with the semi-implicit (predictor-corrector) method and least-squares finite-element method. In the predictor step, hydrostatic pressure at the previous step is used as an initial guess and an intermediate velocity field is calculated. In the corrector step, a Poisson equation for the non-hydrostatic pressure is solved and the final velocity and free-surface elevation is corrected for the new time step. The non-hydrostatic shallow-water model is verified and applied to both wave and flow driven fluid flows, including solitary wave propagation in a channel, progressive sinusoidal waves propagation over a submerged bar, von Karmann vortex street, and ocean circulations of Dongsha Atolls. It is found hydrostatic shallow-water model is efficient and accurate for shallow water flows. Non-hydrostatic shallow-water model requires 1.5 to 3.0 more cpu time than hydrostatic shallow-water model for the same simulation. Model simulations reveal that non-hydrostatic pressure gradients could affect the velocity field and free-surface significantly in case where nonlinearity and dispersion are important during the course of wave propagation.

A discontinuous/continuous low order finite element shallow water model on the sphere

2012 ◽  
Vol 231 (6) ◽  
pp. 2396-2413 ◽  
Author(s):  
Peter D. Düben ◽  
Peter Korn ◽  
Vadym Aizinger
Keyword(s):  
Finite Element ◽  
Shallow Water ◽  
Water Model ◽  
Shallow Water Model ◽  
Low Order
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