Pemodelan Matematika dan Simulasi Numerik Aliran Darah pada Retinal Artery Bifurcation dengan Kondisi Stenosis

Qamara, Zhana Nur Asmi (2026) Pemodelan Matematika dan Simulasi Numerik Aliran Darah pada Retinal Artery Bifurcation dengan Kondisi Stenosis. Other thesis, Institut Teknologi Sepuluh Nopember.

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Abstract

Stenosis pada arteri retina dapat menyebabkan Oklusi Arteri Retina Sentral (CRAO) atau Oklusi Arteri Retina Cabang (BRAO), yang keduanya dapat menyebabkan gangguan penglihatan berat hingga kehilangan penglihatan permanen, terutama pada daerah bifurkasi karena geometri percabangan dapat mengubah pola aliran, tekanan, dan temperatur. Dalam penelitian Tugas Akhir ini, dikembangkan model matematika dan simulasi numerik aliran darah pada retinal artery bifurcation dengan kondisi stenosis berganda untuk menganalisis pengaruh bentuk stenosis dan diameter cabang terhadap karakteristik kecepatan, tekanan, dan temperatur. Aliran darah dimodelkan sebagai aliran laminar, tak termampatkan, tak tunak, dan aksisimetrik berdasarkan hukum kekekalan massa, momentum, dan energi. Geometri stenosis direpresentasikan dalam satu domain global bifurkasi arteri retina dengan kasus tanpa stenosis sebagai pembanding serta tiga variasi stenosis berganda, yaitu cosine-bell, cosine-cosine, dan cosine-elliptical dengan diameter cabang 65 µm, 100 µm, dan 119 µm. Penyelesaian numerik dilakukan menggunakan Finite Volume Method (FVM) dengan algoritma Semi-Implicit Method for Pressure-Linked Equations Revised (SIMPLER), kemudian hasil pola kontur simulasi MATLAB dibandingkan dengan hasil simulasi ANSYS Fluent. Hasil simulasi menunjukkan bahwa stenosis cosine-elliptical menghasilkan perubahan paling besar, ditandai dengan peningkatan kecepatan yang lebih tajam, penurunan tekanan yang lebih jelas, dan perubahan temperatur lokal yang lebih terlihat. Diameter cabang yang lebih kecil juga memperbesar perubahan hemodinamik karena luas penampang aliran semakin sempit. Kombinasi peningkatan kecepatan dan penurunan tekanan menunjukkan potensi gangguan perfusi relatif pada jaringan retina setelah stenosis.
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Stenosis in the retinal artery can lead to Central Retinal Artery Occlusion (CRAO) or Branch Retinal Artery Occlusion (BRAO), both of which may cause severe visual impairment or permanent vision loss, particularly in the bifurcation region where the branching geometry can alter the flow pattern, pressure distribution, and temperature distribution. In this Final Project, a mathematical model and numerical simulation of blood flow in a retinal artery bifurcation with multiple stenosis conditions are developed to analyze the effects of stenosis shape and branch diameter on the velocity, pressure, and temperature characteristics. Blood flow is modeled as laminar, incompressible, unsteady, and axisymmetric based on the conservation laws of mass, momentum, and energy. The stenosis geometry is represented in a single global retinal artery bifurcation domain, with the non-stenosis case used as a reference and three multiple-stenosis variations considered, namely cosine-bell, cosine-cosine, and cosine-elliptical, with branch diameters of 65 µm, 100 µm, and 119 µm. The numerical solution is obtained using the Finite Volume Method (FVM) with the Semi-Implicit Method for Pressure-Linked Equations Revised (SIMPLER) algorithm, and the contour patterns obtained from MATLAB simulations are then compared with ANSYS Fluent simulation results. The simulation results show that the cosine-elliptical stenosis produces the greatest changes, characterized by a sharper increase in velocity, a more pronounced pressure drop, and a more visible local temperature variation. A smaller branch diameter also amplifies the hemodynamic changes because the flow cross-sectional area becomes narrower. The combination of increased velocity and decreased pressure indicates a potential reduction in relative perfusion in the retinal tissue distal to the stenosis.

Item Type:	Thesis (Other)
Uncontrolled Keywords:	Bifurkasi Arteri Retina, Metode Volume Hingga, SIMPLER, Simulasi Numerik, Stenosis Berganda, Retinal Artery Bifurcation, Finite Volume Method, SIMPLER, Numerical Simulations, Multiple Stenosis
Subjects:	Q Science > QA Mathematics > QA371 Differential equations--Numerical solutions Q Science > QA Mathematics > QA401 Mathematical models. Q Science > QA Mathematics > QA911 Fluid dynamics. Hydrodynamics
Divisions:	Faculty of Science and Data Analytics (SCIENTICS) > Mathematics > 44201-(S1) Undergraduate Thesis
Depositing User:	Zhana Nur Asmi Qamara
Date Deposited:	27 Jul 2026 07:04
Last Modified:	27 Jul 2026 07:04
URI:	http://repository.its.ac.id/id/eprint/137417

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