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ANIQ A. ROHMAWATI
Universitas Telkom
Mathematics

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SIMULASI PERGERAKAN RUNTUHAN LONGSOR MENGGUNAKAN MODEL SAVAGE-HUTTER DENGAN FINITE VOLUME METHOD ALIFANDA PINKAN LUDICA; P. H. GUNAWAN; ANIQ A. ROHMAWATI
E-Jurnal Matematika Vol 7 No 2 (2018)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2018.v07.i02.p189

Abstract

The avalanche is simulated using the Savage-Hutter model with Finite Volume Method (FVM) as a numerical solution in one dimension. The scheme used in FVM is collocated-grid. The aim of this research is to observe the avalanche based on different sediment types on the incline bed with the same initial sediment height. These simulations produce the value of velocity and height avalanche. For each type of sediment has a difference in velocity and height of avalanche affected by the internal angle of friction and the bed friction angle. Sediments with the highest bed friction angle have highest speed. The average velocity of each sediment are Quartz with u = 10.627, Yellow Sand with u = 7.437, and Rice with u = 2.1178 at time t = 1.
ANALISIS ALIRAN DARAH DALAM PEMBULUH ARTERI MENGGUNAKAN PERSAMAAN NAVIER-STOKES DAN METODE LATTICE-BOLTZMANN FATHURAHMAN MA’RUF HUDOARMA; P. H. GUNAWAN; ANIQ A. ROHMAWATI
E-Jurnal Matematika Vol 7 No 2 (2018)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2018.v07.i02.p191

Abstract

This simulation was performed to analyze arterial blood flow using Navier-Stokes equations and LatticeBoltzmann method with Bhatnagar-Gross-Krook approach to obtain an explicit form of the LatticeBoltzmann Bhatnagar-Gross-Krook equations. Then by adding some cases of plaque on simulation domain, changes in arterial blood flow pressure can be analyzed. The area and shape of the plaque cause narrowing the artery vessels that affect the pressure and rate of blood flow dynamically. The pressure of blood flow without plaque is stable ranged from 17 to 19 Pa. While in the vessels with plaque, blood flow pressure increased significantly up to 35.145 Pa.
Co-Authors ALIFANDA PINKAN LUDICA FATHURAHMAN MA’RUF HUDOARMA P. H. GUNAWAN