Abstract: A self-adaptive precise algorithm in the time domain is presented for convective heat transfer problems.By expanding variables at a discretized time interval,a time and space coupled problem is converted into a series of boundary value problems.Based on a finite element method,a recursive and self-adaptive computation is conducted without the requirement of additional assumption and iteration for non-linear analysis.A couple of examples with high accuracy are shown.

Key words: self-adaptive precise algorithm, convection, heat transfer