Mathematical Analysis of Modified BEM-FEM Coupling Approach for 3D Electromagnetic Levitation Problem

TL;DR

This paper presents a novel 3D FEM-BEM coupling approach for electromagnetic levitation analysis, integrating Lagrangian and boundary element methods to improve simulation accuracy and efficiency.

Contribution

It introduces an innovative 3D coupling methodology combining Lagrangian description with FEM-BEM for electromagnetic levitation analysis.

Findings

Developed MATLAB code for the coupled analysis.

Validated method using a TEAM workshop problem.

Demonstrated computational efficiency and accuracy.

Abstract

In electromagnetic analysis, the finite element and boundary element methods jointly known as 'FEM-BEM coupling' is applied for numerically solving levitation problem based on eddy current. The main focus behind this coupled analysis method is to determine the dynamic characteristic of the levitating body in the presence of a magnetic field. An innovative 3D structure is developed that couples Lagrangian description and BEM-FEM coupling method for this purpose. The coupling methodology is based on the boundary conditions on the common boundaries between FEM and BEM sub-domains. Subsequent coding has been developed to simulate the problem in the MATLAB environment. An example similar to TEAM (Testing Electromagnetic Analysis Methods) workshop problem 28 has been used to study the efficiency of code for computationally inexpensive analysis.