ABSORBING BOUNDARY CONDITION FOR 2-D SHALLOW WATER EQUATION
Numerical simulation of 2-D problems on a finite domain often need a proper 2-D absorbing boundary condition. This absorbing boundaries are intended to mimic transparant boundaries. In this theses, a 2-D sponge layer technique is implemented, while the 2-D shallow water equation is discretized using...
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Main Author: | |
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Format: | Theses |
Language: | Indonesia |
Online Access: | https://digilib.itb.ac.id/gdl/view/14954 |
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Institution: | Institut Teknologi Bandung |
Language: | Indonesia |
Summary: | Numerical simulation of 2-D problems on a finite domain often need a proper 2-D absorbing boundary condition. This absorbing boundaries are intended to mimic transparant boundaries. In this theses, a 2-D sponge layer technique is implemented, while the 2-D shallow water equation is discretized using Lax method and Godunov method. Discussions start with an exact transparant boundary condition and sponge layer technique for 1-D shallow water equation. Then we continue with the 2-D sponge layer boundary condition for the 2-D shallow water equation. Both method (Lax and Godunov) show that the 2-D sponge layer boundary condition can absorb at least 99,7 % of wave amplitude. Recommendation for the sponge layer width related to this damping parameter is given. |
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