Pemodelan Matematika Aliran Darah pada Branch Retinal Artery Occlusion (BRAO)dengan Stenosis Asimetri

Dewi, Ni Putu Anna Ristia (2026) Pemodelan Matematika Aliran Darah pada Branch Retinal Artery Occlusion (BRAO)dengan Stenosis Asimetri. Other thesis, Institut Teknologi Sepuluh Nopember.

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Abstract

Penyempitan pembuluh darah pada retina, terutama kasus yang terjadi pada pembuluh darah cabang arteri (BRAO) dapat menyebabkan hilangnya daya penglihatan secara bertahap, tanpa rasa sakit. Penyumbatan pembuluh darah juga menjadi penyebab dari penyakit stroke mata. Penelitian ini menganalisis dampak dari tiga bentuk geometri stenosis yang asimetri, yaitu Bell-Cosine, Cosine-Overlapping, dan Bell-Overlapping terhadap aliran fluida dengan karakteristik Newtonian, incompressible, dan unsteady. Aspek yang dianalisis antara lain karakteristik aliran fluida berdasarkan tingkat ketebalan, diameter pembuluh darah, dan kecepatan aliran awal. Model matematika yang didasarkan dari persamaan Navier-Stokes didiskritisasi menggunakan Metode Volume Hingga (FVM) dan diselesaikan dengan algoritma Semi-Implicit Method for Pressure-Linked Equations (SIMPLE). Simulasi dilakukan menggunakan software MATLAB dan ANSYS FLUENT, dengan variasi ketebalan stenosis, perbedaan posisi stenosis, serta panjang tital stenosis. Hasil simulasi menunjukkan bahwa variasi ketebalan stenosis berpengaruh pada besar kecepatan maksimum dan tekanan minimum aliran, dimana model geometri yang paling sensitif adalah model Bell-Cosine yang mencapai nilai masing-masing 2,4254 m/s dan 17.267,1213 Pa. Variasi panjang stenosis tidak memengaruhi kecepatan maksimum dan tekanan minimum aliran pada ketiga model stenosis, tetapi memengaruhi distribusi area dengan kecepatan tinggi dan tekanan rendah. Variasi pada posisi awal stenosis memengaruhi pola distribusi keseluruhan kecepatan dan tekanan. Model Bell-Overlapping, dan Cosine-Overlapping menghasilkan kecepatan maksimum dan tekanan minimum yang lebih ekstrem disbanding model Bell-Cosine, yaitu kecepatan masing-masing 1,2463 m/s dan 1,2532 m/s serta tekanan 17.298,1753 Pa pada kedua bentuk stenosis untuk tekanan.
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The narrowing of retinal blood vessels, particularly in cases involving branch artery occlusion (BRAO), can lead to a gradual, painless vision loss. Vascular blockage is also a contributing factor to eye stroke. This study will analyze the impact of three asymmetric stenosis geometries, including Bell-Cosine, Cosine-Overlapping, dan Bell-Overlapping, on fluid flow with Newtonian, incompressible, and unsteady characteristics. The aspects analyzed include fluid flow behavior based on stenosis thickness, vessel diameter, and initial flow velocity. The mathematical model is based on the Navier-Stokes equations, discretized using the Finite Volume Method (FVM) and solved with the Semi-Implicit Method for Pressure-Linked Equations (SIMPLE) algorithm. Simulations are carried out using MATLAB and ANSYS FLUENT, with variations in stenosis thickness, position, and tital stenosis length. The simulation results show that variations in stenosis thickness significantly affect the maximum flow velocity and minimum pressure, with the Bell-Cosine geometry being the most sensitive model, reaching values of 2.4254 m/s and 17,267.1213 Pa, respectively. Variations in stenosis length do not affect the maximum velocity and minimum pressure in all three stenosis models but influence the distribution of regions with high velocity and low pressure. Variations in the initial position of stenosis affect the overall distribution patterns of velocity and pressure. The Bell-Overlapping and Cosine-Overlapping models produce more extreme maximum velocities and minimum pressures compared to the Bell-Cosine model, with velocities of 1.2463 m/s and 1.2532 m/s, respectively, and a pressure of 17,298.1753 Pa for both stenosis geometries.

Item Type:	Thesis (Other)
Uncontrolled Keywords:	Branch Retinal Artery Occlusion (BRAO), Stenosis Asimetri, Metode Volume Hingga, Algoritma SIMPLE,Branch Retinal Artery Occlusion (BRAO), Asymmetric Stenosis, Finite Volume Method, SIMPLE Algorithm
Subjects:	Q Science > QA Mathematics Q Science > QA Mathematics > QA911 Fluid dynamics. Hydrodynamics
Divisions:	Faculty of Mathematics, Computation, and Data Science > Mathematics > 44201-(S1) Undergraduate Thesis
Depositing User:	Ni Putu Anna Ristia Dewi
Date Deposited:	31 Jan 2026 06:47
Last Modified:	31 Jan 2026 06:47
URI:	http://repository.its.ac.id/id/eprint/131407

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