STAGGERED GRID METHOD FOR TWO DIMENSIONAL SHALLOW WATER EQUATIONS
The shallow water equations are the common model to describe uid ow in rivers, channels, and coastal areas. To solve the equations numerically, several methods can be applied, one such methods is the staggered grid scheme. In this scheme , u and v are calculated at dierent grid points. So, ap...
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| Format: | Theses |
| Language: | Indonesia |
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| Online Access: | https://digilib.itb.ac.id/gdl/view/32160 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | The shallow water equations are the common model to describe
uid
ow in
rivers, channels, and coastal areas. To solve the equations numerically, several
methods can be applied, one such methods is the staggered grid scheme. In this
scheme , u and v are calculated at dierent grid points. So, approximation of
, u and v should be calculated on dierent cells, i.e mass cell, momentum-x
cell and momentum-y cell respectively. The non linear terms can be calculated
using the rst order upwind scheme or the second order super bee scheme.
Furthermore, the scheme is used to simulate a solitary wave propagate over
a conical island. This simulation is to validate the numerical scheme. Next,
the scheme is used to simulate the
uid movement in a closed lake due to
wind friction. In this simulation, several external forces such as wind force
and bottom friction are incorporated. |
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