STAGGERED SCHEME OF SHALLOW WATER EQUATION (SWE) FOR ISLAND WAKE SIMULATIONS
A wake is a wave pattern on the water surface, downstream of an object in a ow. In this talk we simulate the appearance of a wake behind a circular island. We implement the staggered scheme of order-two to solve the full non-linear SWE model. External forcing terms incorporated in the simulatio...
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| Main Author: | |
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| Format: | Theses |
| Language: | Indonesia |
| Subjects: | |
| Online Access: | https://digilib.itb.ac.id/gdl/view/32151 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | A wake is a wave pattern on the water surface, downstream of an object in a
ow. In this talk we simulate the appearance of a wake behind a circular island.
We implement the staggered scheme of order-two to solve the full non-linear
SWE model. External forcing terms incorporated in the simulation are bottom
friction, wind friction, and turbulence diusion. We simulate the development
of
ow due to wind friction in a long canal with a circular island. For laminar
ow with small Reynold number, smooth pattern develops surrounding the
obstacle. Here, the Reynold number is the ratio between nonlinearity and
diusion. For simulation with large Reynold number, the
ow become unstable
and breaks up into an irregular turbulent wake, and swirling vortex sheets
develop in the wake behind the island. Another simulation of wind generated
ow pass over a slit is also conducted. In the simulation, the
ow forms a horn
with a pair of central points. |
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