Numerical Simulation of Heat Transfer using Finite Element Method

Mohamad Naufal Zainal Abidin; Md Yushalify Misro

doi:10.37934/arfmts.92.2.104115

Authors

Mohamad Naufal Zainal Abidin School of Mathematical Sciences, Universiti Sains Malaysia,11800 USM, Pulau Pinang, Malaysia
Md Yushalify Misro School of Mathematical Sciences, Universiti Sains Malaysia,11800 USM, Pulau Pinang, Malaysia

DOI:

https://doi.org/10.37934/arfmts.92.2.104115

Keywords:

Finite Element Method (FEM), 2D Irregular Geometry, Heat Transfer

Abstract

The Finite Element Method (FEM) is a method that is widely used in engineering and mathematical modelling. Some of the problems that can be solved using this method are structural analysis, electromagnetic field, and heat transfer. Typically heat transfer problems can be in the form of irregular shapes or complex geometry domains. However, it is very difficult to solve this problem analytically due to its irregular domain or complex geometry. Thus, the domain needs to be partitioned into a smaller size before it can be solved systematically. This research is aimed to solve the heat transfer problem in simple 2D irregular geometry by applying FEM using the approach of Galerkin’s method.