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ITS » Undergraduate Theses » Matematika
Posted by at 23/09/2010 09:23:57  •  1563 Views



Created by :
BAGIONO, DANANG  ( 1206100702 )

SubjectModel Matematika Biologi
Alt. Subject Mathematical models
KeywordMeshless local Petrov-Galerkin (MLPG)
Moving Least Square (MLS)
Heavyside function


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 h=0.1 sampai h=0.5 untuk kecepatan awal v yang sama v=0.1, 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 v=0.1 sampai v=0.5, dengan kedalaman h yang sama h=0.3, 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.

Alt. Description

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.

  1. Prof.Dr. Basuki Widodo, M.Sc.
  2. Drs.Kamiran, M.Si.
Date Create:22/07/2010
Collection ID:3100010040055
Call Number:RSMa 511.8 Bag a

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

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  1.  ITS-Undergraduate-12356-analisis-morfologi-sungai-pada-pola-distribusi-sedimentasi.pdf - 56 KB
  2.  ITS-Undergraduate-12356-analysis-of-river-morfology-in-a-sediment-distribution-pattern.pdf - 89 KB
  3.  ITS-Undergraduate-12356-Approval_Sheet.pdf - 8 KB
  4.  ITS-Undergraduate-12356-Abstract_id.pdf - 10 KB
  5.  ITS-Undergraduate-12356-Abstract_en.pdf - 45 KB
  6.  ITS-Undergraduate-12356-Preface.pdf - 26 KB
  7.  ITS-Undergraduate-12356-Table_of_Content.pdf - 48 KB
  8.  ITS-Undergraduate-12356-Tables.pdf - 72 KB
  9.  ITS-Undergraduate-12356-Illustrations.pdf - 37 KB
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  11.  ITS-Undergraduate-12356-Bibliography.pdf - 114 KB
  12.  ITS-Undergraduate-12356-Biography.pdf - 22 KB
  13.  ITS-Undergraduate-12356-Chapter1.pdf - 42 KB
  14.  ITS-Undergraduate-12356-Conclusion.pdf - 55 KB
  15.  ITS-Undergraduate-12356-Paper.pdf - 432 KB
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  3. ITS-Undergraduate-12356-Chapter4.pdf - 1796 KB
  4. ITS-Undergraduate-12356-Chapter4.pdf - 868 KB
  5. ITS-Undergraduate-12356-Enclosure.pdf - 281 KB

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(MLPG) , (MLS) , Heavyside , Heavyside function , Least , Meshless , Meshless local Petrov-Galerkin (MLPG) , Moving , Moving Least Square (MLS) , Petrov-Galerkin , Square , function , local


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