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ITS » Undergraduate Theses » Matematika
Posted by dee@its.ac.id at 23/09/2010 09:23:57  •  2288 Views


ANALISIS MORFOLOGI SUNGAI PADA POLA DISTRIBUSI SEDIMENTASI

ANALYSIS OF RIVER MORFOLOGY IN A SEDIMENT DISTRIBUTION PATTERN

Author :
BAGIONO, DANANG  ( 1206100702 )




ABSTRAK

Dalam Tugas Akhir ini model sedimentasi dikembangkan secara matematik dengan menggunakan pendekatan metode volume hingga. Model sedimentasi yang dibangun terdiri dari dua bagian yaitu hidrodinamika aliran sungai dan morfologi sungai. Dalam hidrodinamika aliran sungai digambarkan tentang variabel-variabel yang dilibatkan pada persamaan aliran sungai sedangkan pada morfologi sungai digambarkan tentang proses sedimentasi yang terjadi didasar saluran sebagai akibat dari perilaku aliran. Dalam implementasinya hasil output dari hidrodinamika aliran sungai yang berupa kadalaman dan kecepatan aliran menjadi input pada bagian morfologi sungai. Pada penelitian ini dibahas mengenai pola distribusi sedimen pada morfologi sungai yang sangat menikung berbentuk setengah lingkaran menggunakan metode Meshless Local Petrov-Galerkin MLPG dengan pendekatan Moving Least Square MLS sebagai fungsi shape dan fungsi pembobot spline orde-4 serta fungsi Heavyside sebagai fungsi test. Dengan variasi kedalaman awal h0.1 sampai h0.5 untuk kecepatan awal v yang sama v0.1 ketinggian sedimen pada aliran lurus mengalami kenaikan rata-rata sekitar 0.001972 sedangkan untuk aliran menikung terjadi kenaikan rata-rata sekitar 0.00013. Demikian juga ketika diberikan variasi kecepatan awal v0.1 sampai v0.5 dengan kedalaman h yang sama h0.3 ketinggian sedimen pada aliran lurus mengalami penurunan rata-rata sekitar 0.02156 sedangkan aliran menikung mengalami penurunan sekitar 0.01657. Dari hasil simulasi yang dilakukan pola distribusi sedimen di sepanjang aliran dipengaruhi oleh kedalaman sungai kecepatan sungai serta bentuk morfologi sungai tersebut.


ABSTRACT

In this final sedimentation model was developed mathematically using finite volume method approach. Sedimentation model that was built consisted of two parts the hydrodynamic flow of rivers and river morphology. In the hydrodynamic flow of the river depicted on the variables involved in river flow equation whereas in river morphology is described on the sedimentation process based channel as a result of flow behavior. In the implementation results of the output of the hydrodynamic flow of the flow velocity and depth river be input on the river morphology. In this study discusses the distribution pattern of sediments on the river morphology are very curved semicircular using Meshless Local Petrov-Galerkin MLPG with the approach of Moving Least Square MLS as a function of shape and weighting functions order spline-4 and functions as Heavyside function test. With the initial depth variation h 0.1 to h 0.5 for the same initial velocity v 0.1 height of sediment in straight flow increased an average of approximately 0.001972 while for the flow of cornering an average increase of about 0.00013. Likewise when given initial velocity v 0.1 to 0.5 with the same depth h 0.3 h the height of sediment in straight flow decreased by an average of about 0.02156 while the flow rate has decreased by about 0.01657. From the simulation result the pattern of sediment distribution along the flow is influenced by the depth of the river the river velocity and river morphology.



KeywordsMeshless local Petrov-Galerkin (MLPG); Moving Least Square (MLS); Heavyside function
 
Subject:  Model Matematika Biologi
Contributor
  1. Prof.Dr. Basuki Widodo, M.Sc.
  2. Drs.Kamiran, M.Si.
Date Create: 22/07/2010
Type: Text
Format: pdf.
Language: Indonesian
Identifier: ITS-Undergraduate-3100010040055
Collection ID: 3100010040055
Call Number: RSMa 511.8 Bag a


Source
Undergraduate Thesis, Mathematics, RSMa 511.8 Bag a, 2010

Coverage
ITS Community

Rights
Copyright @2010 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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  1.  ITS-Undergraduate-12356-Abstract_id.pdf - 10 KB
  2.  ITS-Undergraduate-12356-Abstract_en.pdf - 45 KB
  3.  ITS-Undergraduate-12356-Conclusion.pdf - 55 KB
  4.  ITS-Undergraduate-12356-Paper.pdf - 432 KB




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