TWO LAYER MODEL FOR RIGID-LID APPROXIMATION
In this study, the wave propagation model will be built in a two layers shallow water system with different density to apply rigid-lid approximation. Rigid-lid approximation is widely used to simplify studies of layered fluids in oceanography. This assumption ignores wave elevations that occur on th...
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| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/47890 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | In this study, the wave propagation model will be built in a two layers shallow water system with different density to apply rigid-lid approximation. Rigid-lid approximation is widely used to simplify studies of layered fluids in oceanography. This assumption ignores wave elevations that occur on the surface compared to interfacial waves in order to observe solely the effect of topographic to the elevation of interfacial wave. Interfacial waves are waves that occur at the boundary between two fluids with different density. To observe this phenomenon a mathematical model will be built based on the Shallow Water Equation and numerical models are solved using finite volume method on a staggered grid. Mathematical models will be validated by numerical methods through simulations. The effect of topography on the amplitude of the transmission wave will be analyzed based on these two models. From this study it will be known that with the increase in topographic height, the amplitude of the transmission wave will be higher, and vice versa the more the depth of the lower layer of the fluid, the smaller the amplitude of the transmission wave. |
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