Abstract
The thin aspect ratio of oceanic basins is simultaneously a complication to contend with when developing ocean models and an opportunity to simplify the equations of motion. Here we discuss these two aspects of this geometric feature in the context of hydrostatic and non-hydrostatic ocean models. A simple analysis shows that the horizontal viscous operator in the hydrostatic primitive equations plays a central role in the specification of boundary conditions on the lateral vertical surfaces bounding the domain. The asymptotic analysis shows that for very thin aspect ratios the leading-order flow cannot be closed unless additional terms in the equations are considered, namely either the horizontal viscous forces or the non-hydrostatic pressure forces. In either case, narrow boundary layers must be resolved in order to close the circulation properly. The computational cost increases substantially when non-hydrostatic effects are taken into account.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1135-1146 |
| Number of pages | 12 |
| Journal | International Journal for Numerical Methods in Fluids |
| Volume | 58 |
| Issue number | 10 |
| DOIs | |
| State | Published - 2008 |
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Keywords
- Hydrostatic Navier-Stokes
- Permissible boundary conditions
- Spectral element
ASJC Scopus subject areas
- Computer Science Applications
- Computational Mechanics
- Mechanical Engineering
- Mechanics of Materials
- Applied Mathematics
Cite this
Simulating hydrostatic and non-hydrostatic oceanic flows. / Iskandarani, Mohamed.
In: International Journal for Numerical Methods in Fluids, Vol. 58, No. 10, 2008, p. 1135-1146.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Simulating hydrostatic and non-hydrostatic oceanic flows
AU - Iskandarani, Mohamed
PY - 2008
Y1 - 2008
N2 - The thin aspect ratio of oceanic basins is simultaneously a complication to contend with when developing ocean models and an opportunity to simplify the equations of motion. Here we discuss these two aspects of this geometric feature in the context of hydrostatic and non-hydrostatic ocean models. A simple analysis shows that the horizontal viscous operator in the hydrostatic primitive equations plays a central role in the specification of boundary conditions on the lateral vertical surfaces bounding the domain. The asymptotic analysis shows that for very thin aspect ratios the leading-order flow cannot be closed unless additional terms in the equations are considered, namely either the horizontal viscous forces or the non-hydrostatic pressure forces. In either case, narrow boundary layers must be resolved in order to close the circulation properly. The computational cost increases substantially when non-hydrostatic effects are taken into account.
AB - The thin aspect ratio of oceanic basins is simultaneously a complication to contend with when developing ocean models and an opportunity to simplify the equations of motion. Here we discuss these two aspects of this geometric feature in the context of hydrostatic and non-hydrostatic ocean models. A simple analysis shows that the horizontal viscous operator in the hydrostatic primitive equations plays a central role in the specification of boundary conditions on the lateral vertical surfaces bounding the domain. The asymptotic analysis shows that for very thin aspect ratios the leading-order flow cannot be closed unless additional terms in the equations are considered, namely either the horizontal viscous forces or the non-hydrostatic pressure forces. In either case, narrow boundary layers must be resolved in order to close the circulation properly. The computational cost increases substantially when non-hydrostatic effects are taken into account.
KW - Hydrostatic Navier-Stokes
KW - Permissible boundary conditions
KW - Spectral element
UR - http://www.scopus.com/inward/record.url?scp=66249141959&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=66249141959&partnerID=8YFLogxK
U2 - 10.1002/fld.1791
DO - 10.1002/fld.1791
M3 - Article
AN - SCOPUS:66249141959
VL - 58
SP - 1135
EP - 1146
JO - International Journal for Numerical Methods in Fluids
JF - International Journal for Numerical Methods in Fluids
SN - 0271-2091
IS - 10
ER -