Coupled boundary element method and finite difference method for laser drilling

TLDR: In this article, boundary element method formulation for the transient three-dimensional heat conduction equation with moving boundary is presented, which is an effective way to simulate the melting process during laser drilling.

Abstract: In this presentation, we focus on the simulation of the melting phenomenon during laser drilling. The governing equation is the transient three-dimensional heat conduction equation. However, the melting interface is moving and needs to be determined as part of the solution. In this paper, boundary element method formulation for the transient three-dimensional heat conduction equation with moving boundary will be presented. The moving boundary, solid-liquid interface, appears in the surface integral. Consequently, it is easy to track. To increase the efficiency of the computation, we combine the boundary element method formulation with finite difference method. Stefan’s boundary condition is applied along the melting interface. The coupled BEM-FDM is an effective way to simulate the melting process.In this presentation, we focus on the simulation of the melting phenomenon during laser drilling. The governing equation is the transient three-dimensional heat conduction equation. However, the melting interface is moving and needs to be determined as part of the solution. In this paper, boundary element method formulation for the transient three-dimensional heat conduction equation with moving boundary will be presented. The moving boundary, solid-liquid interface, appears in the surface integral. Consequently, it is easy to track. To increase the efficiency of the computation, we combine the boundary element method formulation with finite difference method. Stefan’s boundary condition is applied along the melting interface. The coupled BEM-FDM is an effective way to simulate the melting process.