RESONANCE PHENOMENON IN A BASIN WITH VARIOUS GEOMETRIC SHAPE OF LONGITUDINAL SECTION
Resonance phenomenon in a basin is indicated by wave amplification at the basin boundary. This phenomenon occurs when the period of external forces matches the basin’s natural periods. These periods which are also known as the periods of free oscillation or seiche periods have different formulas...
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| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/54850 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Resonance phenomenon in a basin is indicated by wave amplification at the basin
boundary. This phenomenon occurs when the period of external forces matches
the basin’s natural periods. These periods which are also known as the periods
of free oscillation or seiche periods have different formulas according to oscillation
mode and geometric shape in each basin type. In this study, we aim to
derive the natural period of the fundamental oscillation mode for quartic, triangular
(right-angled), trapezoidal, and coupled rectangular type basin. Resonance is
disadvantageous, especially to local people and also the government. So, studying
these periods is significant and must be well-considered in the construction process.
To obtain the fundamental natural period, we use a mathematical model based on
linear shallow water equations. The difference between linear and nonlinear shallow
water equations lies in the momentum balance equation. We will solve the model
analytically using the separation of variables method. To validate our results, we
compare the analytical period to the experimental period. We will also solve the
equations numerically using the finite volume method on a staggered grid. We use
the numerical scheme to obtain the fundamental natural period in each basin type.
As a result, we found that the period derived numerically is indeed the analytical
period derived before. Through the numerical simulation, we can also observe
the wave profile when the resonance phenomenon occurs. From the simulation,
we conclude that for the trapezoidal closed basin, the maximum wave elevation is
proportional to the ratio of the basin depth. While for the coupled-rectangular semiclosed
basin, the maximum wave elevation is inversely proportional to the ratio of
the domain length. |
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