Abstract
This work concerns the development of a finite-element algorithm for the stationary quasi-geostrophic equations to treat the large scale wind-driven ocean circulation. The algorithm is developed based on the streamfunction formulation involving fourth-order gradients of the streamfunction. Here, we examine the adaptation of a relatively inexpensive, nonconforming method based on C0 basis functions. We develop the variational form of the method and establish consistency. The method weakly enforces continuity of the normal flux across interelement boundaries and stabilization is achieved via Nitsche's method. Explicit expression for the choice of the stabilization parameter is derived. Moreover, the theoretical error estimate for the linear Stommel-Munk model is performed. Numerical results from several benchmark problems on rectangular and curved domains are provided to demonstrate the accuracy and robustness of the method. We also provide the Mediterranean sea example to demonstrate the capability of the approach to the wind-driven ocean circulation simulation.
| Original language | English |
|---|---|
| Pages (from-to) | 225-244 |
| Number of pages | 20 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 300 |
| DOIs | |
| Publication status | Published - 2016 Mar 1 |
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All Science Journal Classification (ASJC) codes
- Computational Mechanics
- Mechanics of Materials
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science Applications
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A C0-discontinuous Galerkin method for the stationary quasi-geostrophic equations of the ocean. / Kim, Tae Yeon; Park, Eun Jae; Shin, Dong wook.
In: Computer Methods in Applied Mechanics and Engineering, Vol. 300, 01.03.2016, p. 225-244.Research output: Contribution to journal › Article
TY - JOUR
T1 - A C0-discontinuous Galerkin method for the stationary quasi-geostrophic equations of the ocean
AU - Kim, Tae Yeon
AU - Park, Eun Jae
AU - Shin, Dong wook
PY - 2016/3/1
Y1 - 2016/3/1
N2 - This work concerns the development of a finite-element algorithm for the stationary quasi-geostrophic equations to treat the large scale wind-driven ocean circulation. The algorithm is developed based on the streamfunction formulation involving fourth-order gradients of the streamfunction. Here, we examine the adaptation of a relatively inexpensive, nonconforming method based on C0 basis functions. We develop the variational form of the method and establish consistency. The method weakly enforces continuity of the normal flux across interelement boundaries and stabilization is achieved via Nitsche's method. Explicit expression for the choice of the stabilization parameter is derived. Moreover, the theoretical error estimate for the linear Stommel-Munk model is performed. Numerical results from several benchmark problems on rectangular and curved domains are provided to demonstrate the accuracy and robustness of the method. We also provide the Mediterranean sea example to demonstrate the capability of the approach to the wind-driven ocean circulation simulation.
AB - This work concerns the development of a finite-element algorithm for the stationary quasi-geostrophic equations to treat the large scale wind-driven ocean circulation. The algorithm is developed based on the streamfunction formulation involving fourth-order gradients of the streamfunction. Here, we examine the adaptation of a relatively inexpensive, nonconforming method based on C0 basis functions. We develop the variational form of the method and establish consistency. The method weakly enforces continuity of the normal flux across interelement boundaries and stabilization is achieved via Nitsche's method. Explicit expression for the choice of the stabilization parameter is derived. Moreover, the theoretical error estimate for the linear Stommel-Munk model is performed. Numerical results from several benchmark problems on rectangular and curved domains are provided to demonstrate the accuracy and robustness of the method. We also provide the Mediterranean sea example to demonstrate the capability of the approach to the wind-driven ocean circulation simulation.
UR - http://www.scopus.com/inward/record.url?scp=84949238757&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84949238757&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2015.11.022
DO - 10.1016/j.cma.2015.11.022
M3 - Article
AN - SCOPUS:84949238757
VL - 300
SP - 225
EP - 244
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0374-2830
ER -