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ITS » Master Theses » Matematika - S2 Posted by dee@its.ac.id at 12/01/2012 10:53:37 • 74 Views
APLIKASI METODE MESHLESS LOCAL PETROV-GALERKIN (MLPG) PADA PERMASALAHAN SEDIMENTASI SUNGAI MODEL SHAZY SHABAYEK
APPLICATION METHOD OF MESHLESS LOCAL PETROY-GALERKIN (MLPG) ON RIVER SEDIMENTATION PROBLEMS SHAZY SHABAYEK
Created by :
HADI, SOFWAN ( 1209201005 )
| Subject: | Model matematika Sedimentologi | | Alt. Subject : | Mathematical models | | Keyword: | MLPG Sedimentasi Model Shazy Shabayek |
[ Description ]
Metode Mesh less Local Petrov- Galerkin (MLPG) merupakan salah satu metode numerik yang tidak menggunakan titik-titik pada pias dalam menyelesaikan suatu model, akan tetapi menggunakan titik-titik dalam domain sebagai titiktitik solusinya. Pada thesis ini dibahas tentang sedimentasi sungai model Shazy Shabayek. Shazy Shabayek (2002) momodelkan sungai dalam bentuk percabangan dua sungai. Pada thesis ini, model sungai Shazy Shabayek digunakan untuk
mempelajari pola distribusi sedimentasi melalui model matematika. Dalam model matematika tersebut, sungai model Shazy Shabayek dibagi menjadi 3 daerah, yaitu daerah Sungai utama sebelum percabangan sebagai daerah pertama, anak
sungai sebagai daerah kedua, dan sungai utama setelah percabangan sebagai daerah ketiga. Selanjutnya model matematika dalam permasalahan ini diselesaikan dengan menggunakan metode MLPG, yaitu domain penyelesaiannya ditandai dengan titiktitik solusi. Titik-titik ini selanjutnya dicari nilainya dengan bantuan perangkat lunak matlab 7.1.
Selanjutnya diperoleh hasil bahwa perubahan sudut sungai mempunyai pengaruh kecil terhadap tingkat sedimentasi sungai. Hal itu bisa dilihat dari nilai
perubahan sedimentasi pada sudut =12; =4; dan =2 yang hanya mengalami kenaikan sebesar 0:44% dari sedimentasi awal. Kecepatan aliran sungai mempunyai pengaruh besar terhadap ketinggian
sedimentasi. Hal itu bisa dilihat dari ketinggian awal sedimentasi 0.5. Mengalami pertambahan sedimentasi sebesar 0:22% pada saat diberikan kecepatan awal 3. Ketika diberikan kecepatan 4, sedimentasi sungai mengalami kenaikan sebesar
0:26% lebih banyak 0:02% dari pada saat kecepatan 4. Kedalaman sungai mempunyai pengaruh tidak signifikan terhadap ketinggian sedimentasi. Hal itu terlihat dengan diberikan ketinggian awal sebesar
0.2 dan 0.6. Tidak terdapat kenaikan ketinggian sedimentasi yang signifikan. samasama
naik sebesar 0:22%
Alt. Description
Method Meshless Local Petrov-Galerkin (MLPG) is one of the numerical methods that do not use dots in the PIAs in completing a model, but uses the points in the domain as a point-point solution. In this thesis discussed on river sedimentation model Shazy Shabayek. Shazy Shabayek (2002) momodelkan river
in the form of branching of two rivers. In this thesis, a model river Shazy Shabayek used to study the distribution pattern of sedimentation through mathematical models. In the mathematical model, the river Shabayek Shazy model is divided into three regions, namely the main river before the branching as the first area, the creek as the second area, and the main river after the branching of the third region.
Furthermore, the mathematical model of the problem is solved by using the method MLPG, ie the solution domain is marked with dots solution. These points are then searched in value with the help of the software matlab 7.1. Furthermore, obtained results that point the river changes have little effect on the rate of sedimentation of waterways. It can be seen from the value of changes in sedimentation on the angle pi=12; pi=4; and pi=2 which is only increased by
0:44% of the initial sedimentation. River flow velocity has a major influence on the sedimentation height. It
can be seen from the initial sedimentation height 0.5. Sedimentation experienced accretion of 0:22% at the given initial velocity 3. When given the speed of 4, the
sedimentation of the river has increased by 0:26% more 0:02% of at speed 4. The depth of the river had no significant effect on the height of sedimentation. It was seen with a given initial height of 0.2 and 0.6. There was no significant increase in sedimentation height. both rose by 0:22%
| Contributor | : |
- Prof. Dr. Basuki Widodo,M.Sc
| | Date Create | : | 28/07/2011 | | Type | : | Text | | Format | : | pdf | | Language | : | Indonesian | | Identifier | : | ITS-Master-3100011045196 | | Collection ID | : | 3100011045196 | | Call Number | : | RTMa 511.8 Had a |
Source : Master Thesis of Mathematics, RTMa 511.8 Had a, 2011
Coverage : ITS Community
Rights : Copyright @2011 by ITS Library. This publication is protected by copyright and per obtained from the ITS Library prior to any prohibited reproduction, storage in a re transmission in any form or by any means, electronic, mechanical, photocopying, reco For information regarding permission(s), write to ITS Library
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