PhD Math, Thesis Defense: Finite Element Simulations for Multiphysics Problems
In the FSI context, we worked on the stenosed bifurcated artery and heart valve simulation problems. We choose Arbitrary Lagrangian-Eulerian (ALE) framework to model arteries’ blood flow and elastic behavior. A stable P2P1 element is used in the finite element method to discretize the governing equations of the problems. Thus the resulting highly nonlinear algebraic system is solved by Newton solver and the corresponding linear system by multigrid solvers. The undertaken study leads toward the understanding and providing the numerical solution to highly complex nonlinear problems in health regimes.
Final Defense Committee (FDC):
- Dr Nasir Ali (External Examiner)
- Dr Muhammad Faryad
- Dr Amer Rasheed
- Dr Imran Naeem
- Dr Mudassar Razzaq (Supervisor)
Publications:
Anwar, M. A., Iqbal, K., & Razzaq, M. (2021). Analysis of bio magnetic blood flow in a stenosed bifurcation artery amidst elastic walls. Physics Scripta, 96(8), 085202.
ANWAR, M. A., & RAZZAQ, M. (2021). The effect of the Nusselt number on the bi-viscosity fluid subjected to the discrete heating effect. Journal of Thermal Engineering, 7(7), 1797-1814.
Proceedings:
Predicting Stock Prices using Heston and Geometric Brownian Motion Models
A Study of a Plaque Inhibition Through Stenosed Bifurcation Artery considering a Bio magnetic Blood Flow and Elastic Walls
Conference: Fluid-Structure Interactions, July 2022 in Berlin
Submitted:
Journal: Results in Physics
Title: Fluid-structure interaction (FSI) study of the wavy bifurcated channel with elastic walls (Decision pending)
A Finite Element Method for a Strongly Coupled Fluid-Structure Interaction Problem for a Vertical Flap in a Channel and Aneurysm Hemodynamics
Journal: Applied Mathematics and Computation
Numerical study of flow across an ellipse and a circle placed in a uniform stream of infinite extent.
Journal: Computing and VisualizationA phenomenological model for the plaque rapture through stenosed bifurcated elastic arteries.
Journal: communications in nonlinear science and numerical simulation
Fluid-structure interaction study of flow and conjugate heat transfer in stenosis bifurcation arteries
Journal: Waves in Random and complex media
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