STUDY OF WAVE RUN-UP ON U-SHAPED BAYS
The study of wave run-up is needed in disaster mitigation due to tsunami or other ocean waves. Wave run-up is related to the horizontal inundation that can be reached by waves on land. The run-up height and inundation depend on the wave profile and topography profiles. In this thesis, a study is...
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Format: | Theses |
Language: | Indonesia |
Online Access: | https://digilib.itb.ac.id/gdl/view/64816 |
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Institution: | Institut Teknologi Bandung |
Language: | Indonesia |
Summary: | The study of wave run-up is needed in disaster mitigation due to tsunami or other
ocean waves. Wave run-up is related to the horizontal inundation that can be reached
by waves on land. The run-up height and inundation depend on the wave profile
and topography profiles. In this thesis, a study is conducted regarding the wave
run-up in a narrow bays. The mathematical model used to analyze the wave run-up
is the Saint-Venant equations. The wave run-up in the bay is a two-dimensional
problem, but for a relatively narrow and long bay the Saint-Venant equations can
be reduced to a one-dimensional equations. The study of the wave run-up includes
numerical and analytical studies. For the numerical study, the validation of the momentum
conserving staggered grid (MCS) scheme is applied to the one-dimensional
Saint-Venant equations. Simulation tests were carried out to solve the problem of
initial and boundary conditions for several bay shapes and wave profiles. In the
analytical study, the one-dimensional Saint-Venant equations is solved by using the
hodograph transformation (Carrier-Greenspan transformation), so that analytical
formulas can be obtained regarding the wave run-up, namely the height of run-up,
inundation distance and wave velocity at the shoreline. The formulas obtained are
used to validate the results of the numerical simulation test with the MCS scheme.
The comparison of the simulation test results of the Saint-Venant equations with the
MCS scheme match well with the analytical formulas. Thus, it can be concluded
that the MCS scheme can be used to accurately simulate the wave run-up in a narrow
bay. |
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