Numerical Simulation of Sloshing Phenomena in Cubic Tank with Multiple Baffles

<table>Power spectrum of the free surface elevation at wave gauge <svg height="11.75" id="M118" style="vertical-align:-0.23206pt" version="1.1" viewbox="0 0 20.5875 11.75" width="20.5875" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.4)"><path d="M713 296l-5 -25q-47 -7 -59 -20t-23 -72l-15 -79q-9 -48 -3 -74q-15 -3 -55 -13t-63 -15t-59.5 -10t-70.5 -5q-149 0 -243 80t-94 220q0 169 127.5 276.5t336.5 107.5q91 0 206 -36l-10 -165l-29 -1q1 85 -47.5 126t-146.5 41q-153 0 -243.5 -97t-90.5 -242
q0 -122 68.5 -198.5t188.5 -76.5q121 0 139 75l20 86q13 58 -1.5 70.5t-99.5 20.5l5 26h267z" id="x1D43A"></path></g><g transform="matrix(.017,-0,0,-.017,12.37,11.4)"><path d="M384 0h-275v27q67 5 81.5 18.5t14.5 68.5v385q0 38 -7.5 47.5t-40.5 10.5l-48 2v24q85 15 178 52v-521q0 -55 14.5 -68.5t82.5 -18.5v-27z" id="x31"></path></g>
</svg> when the excitation frequency is <svg height="11.225" id="M119" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 75.0625 11.225" width="75.0625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,10.963)"><use xlink:href="#x1D714"></use></g><g transform="matrix(.017,-0,0,-.017,15.616,10.963)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,30.32,10.963)"><use xlink:href="#x36"></use></g><g transform="matrix(.017,-0,0,-.017,38.48,10.963)"><use xlink:href="#x2E"></use></g><g transform="matrix(.017,-0,0,-.017,42.355,10.963)"><use xlink:href="#x38"></use></g><g transform="matrix(.017,-0,0,-.017,50.515,10.963)"><use xlink:href="#x36"></use></g><g transform="matrix(.017,-0,0,-.017,58.674,10.963)"><use xlink:href="#x33"></use></g><g transform="matrix(.017,-0,0,-.017,66.834,10.963)"><use xlink:href="#x36"></use></g>
</svg> rad/s ((a) without baffle; (b) <svg height="12.4375" id="M120" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 35.674999 12.4375" width="35.674999" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.162)"><use xlink:href="#x1D44F"></use></g><g transform="matrix(.017,-0,0,-.017,12.744,12.162)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,27.447,12.162)"><use xlink:href="#x30"></use></g>
</svg> mm; (c) <svg height="12.4375" id="M121" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 43.837502 12.4375" width="43.837502" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.162)"><use xlink:href="#x1D44F"></use></g><g transform="matrix(.017,-0,0,-.017,12.744,12.162)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,27.447,12.162)"><use xlink:href="#x34"></use></g><g transform="matrix(.017,-0,0,-.017,35.607,12.162)"><use xlink:href="#x30"></use></g>
</svg> mm; (d) <svg height="12.4375" id="M122" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 43.837502 12.4375" width="43.837502" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.162)"><use xlink:href="#x1D44F"></use></g><g transform="matrix(.017,-0,0,-.017,12.744,12.162)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,27.447,12.162)"><use xlink:href="#x38"></use></g><g transform="matrix(.017,-0,0,-.017,35.607,12.162)"><use xlink:href="#x30"></use></g>
</svg> mm).</table>

Journal of Applied Mathematics

fig12

Figure 12

Figure 12: Numerical Simulation of Sloshing Phenomena in Cubic Tank with Multiple Baffles 