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: SAMPURNO (NIM: 20110003), ANTON
Format: Theses
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/14954
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Institution: Institut Teknologi Bandung
Language: Indonesia
id id-itb.:14954
spelling 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
institution Institut Teknologi Bandung
building Institut Teknologi Bandung Library
continent Asia
country Indonesia
Indonesia
content_provider Institut Teknologi Bandung
collection Digital ITB
language Indonesia
description 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
_version_ 1822017718392455168