STAGGERED SCHEME OF SHALLOW WATER EQUATION (SWE) FOR ISLAND WAKE SIMULATIONS

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: Millah, Nashrul
Format: Theses
Language:Indonesia
Subjects:
Prinsip umum matematika
Online Access:https://digilib.itb.ac.id/gdl/view/32151
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Institution: Institut Teknologi Bandung
Language: Indonesia
id id-itb.:32151
spelling id-itb.:321512018-12-03T13:44:27ZSTAGGERED SCHEME OF SHALLOW WATER EQUATION (SWE) FOR ISLAND WAKE SIMULATIONS Millah, Nashrul Prinsip umum matematika Indonesia Theses staggered scheme, Reynold number INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/32151 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. 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
topic Prinsip umum matematika
spellingShingle Prinsip umum matematika
Millah, Nashrul
STAGGERED SCHEME OF SHALLOW WATER EQUATION (SWE) FOR ISLAND WAKE SIMULATIONS
description 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.
format Theses
author Millah, Nashrul
author_facet Millah, Nashrul
author_sort Millah, Nashrul
title STAGGERED SCHEME OF SHALLOW WATER EQUATION (SWE) FOR ISLAND WAKE SIMULATIONS
title_short STAGGERED SCHEME OF SHALLOW WATER EQUATION (SWE) FOR ISLAND WAKE SIMULATIONS
title_full STAGGERED SCHEME OF SHALLOW WATER EQUATION (SWE) FOR ISLAND WAKE SIMULATIONS
title_fullStr STAGGERED SCHEME OF SHALLOW WATER EQUATION (SWE) FOR ISLAND WAKE SIMULATIONS
title_full_unstemmed STAGGERED SCHEME OF SHALLOW WATER EQUATION (SWE) FOR ISLAND WAKE SIMULATIONS
title_sort staggered scheme of shallow water equation (swe) for island wake simulations
url https://digilib.itb.ac.id/gdl/view/32151
_version_ 1822923803475312640

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