Solutions for Subtidal Flow in Channels and Estuaries Under Different Integral Constraints

2020 ◽  
Vol 125 (9) ◽  
Author(s):  
Michael M. Whitney ◽  
Yan Jia
Keyword(s):  
Integral Constraints

Integral constraints in general relativity

1988 ◽  
Vol 296 (3) ◽  
pp. 710-716 ◽  
Author(s):  
L.F. Abbott ◽  
J. Traschen ◽  
Rui-Ming Xu
Keyword(s):  
General Relativity ◽  
Integral Constraints

scholarly journals Integral Constraints for Momentum and Energy in Zonal Flows with Parameterized Potential Vorticity Fluxes: Governing Parameters

2014 ◽  
Vol 44 (3) ◽  
pp. 922-943 ◽  
Author(s):  
V. O. Ivchenko ◽  
S. Danilov ◽  
B. Sinha ◽  
J. Schröter
Keyword(s):  
Ocean Circulation ◽  
Potential Vorticity ◽  
Channel Model ◽  
Bottom Topography ◽  
Flat Bottom ◽  
Zonal Flows ◽  
Integral Constraints ◽  
Variable Bottom ◽  
Eddy Fluxes ◽  
The Impact

Abstract Integral constraints for momentum and energy impose restrictions on parameterizations of eddy potential vorticity (PV) fluxes. The impact of these constraints is studied for a wind-forced quasigeostrophic two-layer zonal channel model with variable bottom topography. The presence of a small parameter, given by the ratio of Rossby radius to the width of the channel, makes it possible to find an analytical/asymptotic solution for the zonally and time-averaged flow, given diffusive parameterizations for the eddy PV fluxes. This solution, when substituted in the constraints, leads to nontrivial explicit restrictions on diffusivities. The system is characterized by four dimensionless governing parameters with a clear physical interpretation. The bottom form stress, the major term balancing the external force of wind stress, depends on the governing parameters and fundamentally modifies the restrictions compared to the flat bottom case. While the analytical solution bears an illustrative character, it helps to see certain nontrivial connections in the system that will be useful in the analysis of more complicated models of ocean circulation. A numerical solution supports the analytical study and confirms that the presence of topography strongly modifies the eddy fluxes.

Integral constraints on sensitivity vectors for multivariable linear systems

Automatica ◽  
1996 ◽  
Vol 32 (4) ◽  
pp. 499-518 ◽  
Author(s):  
Guillermo I. Gómez ◽  
Graham C. Goodwin
Keyword(s):  
Linear Systems ◽  
Integral Constraints
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