Numerical modelling of a one-dimensional laser drilling problem

Abstract

Laser Drilling has a history of more than half a decade since it was first invented and has supported several industries with the help of its applications. There are previous works which utilize various approach as, such the Finite Element Method (FEM), Finite Volume Method (FVM), etc., to mathematically model out a 1-Dimensional laser drilling problem. New efficient methods have emerged like the mesh-free methods. They were developed to tackle complex and higher dimensional equations efficiently; laser drilling problem that deals with more than two dimensions. This paper focus on the mathematical modelling of the 1D laser drilling problem and by solving it through implementing the Finite Volume Method (FVM) coupled with an implicit scheme. This paper will discuss the results by examining it to predict the motion of the moving boundary and various parameters.