Application of the Forward Sensitivity Method to a GWCE-Based Shallow Water Model
Abstract
:1. Introduction
2. Sensitivity Function Evolution
2.1. Derivation of Sensitivity Equations
2.2. Sensitivity Results for Tidal Problem on the Linear Sloping Domain
2.3. Sensitivity Results for Tidal Problem over a Seamount
2.4. Comparison of FSM and Numerical Analog Sensitivities
3. Data Assimilation Using Forward Sensitivities
3.1. Data Assimilation Approach
3.2. Correction to CG Results on the Linear Sloping Domain
4. Sequential Optimization
5. Comparison of FSM to Dispersion Analysis
6. Conclusions
Acknowledgments
Author Contributions
Conflicts of Interest
Abbreviations
FSM | Forward Sensitivity Method |
GWCE | Generalized Wave Continuity Equation |
WCE | Wave Continuity Equation |
ADCIRC | ADvanced CIRCulation |
CG | Continuous Galerkin |
1D | One-Dimensional |
2D | Two-Dimensional |
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Parameter | Value |
---|---|
Bathymetry at open boundary | 20.0 m |
Bottom slope | 1.25 × m/m |
Domain length | 40.0 km |
0.001 | |
Tidal forcing amplitude | 1.0 m |
Tidal forcing period | 44,714.8 s |
Ramp duration | 1.0 days |
Parameter | Value |
---|---|
Bathymetry at open boundary | 50.0 m |
Domain length | 60.0 km |
0.001 | |
Tidal forcing amplitude | 1.0 m |
Tidal forcing period | 44,714.8 s |
Ramp duration | 1.0 days |
G Value | Mean Nodal Correction, | Optimal Correction, | New G Value, | |
---|---|---|---|---|
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Tromble, E.M.; Lakshmivarahan, S.; Kolar, R.L.; Dresback, K.M. Application of the Forward Sensitivity Method to a GWCE-Based Shallow Water Model. J. Mar. Sci. Eng. 2016, 4, 73. https://doi.org/10.3390/jmse4040073
Tromble EM, Lakshmivarahan S, Kolar RL, Dresback KM. Application of the Forward Sensitivity Method to a GWCE-Based Shallow Water Model. Journal of Marine Science and Engineering. 2016; 4(4):73. https://doi.org/10.3390/jmse4040073
Chicago/Turabian StyleTromble, Evan M., Sivaramakrishnan Lakshmivarahan, Randall L. Kolar, and Kendra M. Dresback. 2016. "Application of the Forward Sensitivity Method to a GWCE-Based Shallow Water Model" Journal of Marine Science and Engineering 4, no. 4: 73. https://doi.org/10.3390/jmse4040073