Event date:
May 13 2022 3:00 pm

PhD Math, Thesis Defense: Finite Element Simulations for Multiphysics Problems

Speaker(s)
Muhammad Adnan Anwar (2018-07-0005)
Venue
Math lab (9-1C1)
Abstract
The problems involving multiple physics have gained enormous attention from researchers. Hence, the focus of this study is to explore the two main disciplines of multi physics problems, namely, Computational Fluid Dynamics (CFD) and Fluid-Structure Interaction (FSI). In the first step, we explored the CFD problems and discretization challenges using the Finite Element Method and solved the industry-related problems. In the second step, we explored the FSI problems, which are the kingpin of this study. Moreover, the advances in computational power in recent decades and the viability of solving highly nonlinear coupled FSI scenarios greatly influenced researchers pertaining to investigations in vast biomedicine and bioengineering.

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 Visualization

A 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 


Join Zoom Meeting here.

Meeting ID: 962 1862 7746

Passcode: 962210