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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id-itb.:149542017-09-27T14:41:42Z ABSORBING BOUNDARY CONDITION FOR 2-D SHALLOW WATER EQUATION SAMPURNO (NIM: 20110003), ANTON Indonesia Theses INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/14954 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. text |
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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. |
format |
Theses |
author |
SAMPURNO (NIM: 20110003), ANTON |
spellingShingle |
SAMPURNO (NIM: 20110003), ANTON ABSORBING BOUNDARY CONDITION FOR 2-D SHALLOW WATER EQUATION |
author_facet |
SAMPURNO (NIM: 20110003), ANTON |
author_sort |
SAMPURNO (NIM: 20110003), ANTON |
title |
ABSORBING BOUNDARY CONDITION FOR 2-D SHALLOW WATER EQUATION |
title_short |
ABSORBING BOUNDARY CONDITION FOR 2-D SHALLOW WATER EQUATION |
title_full |
ABSORBING BOUNDARY CONDITION FOR 2-D SHALLOW WATER EQUATION |
title_fullStr |
ABSORBING BOUNDARY CONDITION FOR 2-D SHALLOW WATER EQUATION |
title_full_unstemmed |
ABSORBING BOUNDARY CONDITION FOR 2-D SHALLOW WATER EQUATION |
title_sort |
absorbing boundary condition for 2-d shallow water equation |
url |
https://digilib.itb.ac.id/gdl/view/14954 |
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1822017718392455168 |