Heat Transfer Analysis of Brakes Based on Spatio-temporal Generalized Finite Difference Method

This paper develops a spatio-temporal generalized finite difference method (ST-GFDM) based on spatio-temporal joint technology for brake thermal analysis. The proposed method directly discretizes transient heat transfer problems, avoiding the time-consuming and labor-intensive processes and complex mesh generation tasks. The accuracy and effectiveness of the method are validated through typical several numerical examples. Transient thermal simulations are conducted for simplified two-dimensional brake model and three-dimensional brake model, and the results are compared with those obtained from COMSOL Multiphysics. Numerical experiments demonstrate that the proposed algorithm achieves second-order convergence and maintains accuracy comparable to that of finite element software, even under conditions with fewer nodes. The developed method not only eliminates the need for meshing and numerical integration but also effectively addresses the challenges of high computational cost and matrix ill-conditioning inherent in global mesh-free collocation methods. These features highlight its broad potential for applications in brake heat transfer analysis.