Estimation of Open Boundary Conditions for an Internal Tidal Model with Adjoint Method: A Comparative Study on Optimization Methods

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="802136.fig.002a" src="https://static.hindawi.com/articles/mpe/volume-2013/802136/figures/802136.fig.002a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>Group 1</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="802136.fig.002b" src="https://static.hindawi.com/articles/mpe/volume-2013/802136/figures/802136.fig.002b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>Group 2</td></tr></table></td></tr><tr class="fig-image" id="c"><td><img alt="802136.fig.002c" src="https://static.hindawi.com/articles/mpe/volume-2013/802136/figures/802136.fig.002c.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(c) </b> Group 3</td></tr></table></td></tr></table>

<table>Inverted spatial distribution of OBCs (Fourier coefficient <svg height="7.9499998" id="M192" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 8.7250004 7.9499998" width="8.7250004" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,7.675)"><path d="M483 97q-42 -50 -88.5 -79.5t-68.5 -29.5q-37 0 -17 93l22 102h-2q-54 -79 -144 -149q-59 -46 -100 -46q-24 0 -43 29t-19 86q0 78 34.5 153t94.5 120q41 31 94 51.5t98 20.5q29 0 72 -9q26 -6 39 -6l2 -4q-30 -117 -67 -323q-8 -41 2 -41q16 0 79 58zM374 387
q-32 15 -73 15q-52 0 -83 -23q-48 -36 -78 -108.5t-30 -152.5q0 -33 8.5 -50.5t20.5 -17.5q31 0 107 79t99 132q15 40 29 126z" id="x1D44E"></path></g>
</svg> specially here) compared with the prescribed one.</table>

Mathematical Problems in Engineering

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Figure 2

Figure 2: Estimation of Open Boundary Conditions for an Internal Tidal Model with Adjoint Method: A Comparative Study on Optimization Methods 