Physical field simulations demand efficient mesh deformation and adaptive refinement methods. This paper proposes a systematical method tailored to the specific needs of simulations. Interpolation-based methods are preferred for large-scale mesh deformation due to computational efficiency. Improving the inverse distance weighted method by introducing auxiliary nodes using the sub-mesh. A node smoothing algorithm based on layered mesh is also devised to enhance mesh deformation ability. Optimizing the convergence criterion greatly reduces comput...