Multigrid for the Convection Diffusion equation

Student Number

27328

Degree

Master of Science in Mathematics

Department

Department of Mathematical Sciences

Faculty/School

School of Mathematics and Computer Science (SMCS)

Date of Award

Spring 2025

Advisor

Dr. Hisham bin Zubair Syed, Assistant Professor, Department of Mathematical Sciences, School of Mathematics and Computer Science (SMCS)

Committee Member 1

Dr. Faheem Raees, Examiner, NED University of Engineering and Technology

Committee Member 2

Dr. Amir Bashir, Chairperson of Mathematical Sciences Department, Institute of Business Administration (IBA), Karachi

Project Type

Thesis

Access Type

Restricted Access

Document Version

Final

Pages

xiii, 72

Keywords

Multigrid, Convection Diffusion equation, Recirculating Flow

Abstract

This thesis consists of implementing some of the existing and known finite-difference techniques for the 2D Convection-Diffusion equation and the Local Fourier Analysis of these methods. It also showcases a modest contribution in attempting to improvise a smoother for recirculating flow problems.

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