Precise Time-Domain Expanding BEM for Solving Non-Fourier Heat Conduction Problems

Abstract

The precise time-domain expanding boundary-element method (BEM) is presented for solving non-Fourier heat conduction problems. The recursive boundary integral equation is obtained via the precise time-domain expanding method and solved by the BEM, where the radial integral method is used to transform the domain integral into the boundary integral. Also, a self-adaptive judging criterion is used in the solving process. The transformation matrices of domain integrals need to be computed only once, except those related to the heat source. Finally, numerical results show that the present method can obtain stable and accurate results with different time steps.