NONLINEAR TRANSIENT HEAT CONDUCTION ANALYSIS WITH PRECISE TIME INTEGRATION METHOD

The precise time integration (PTI) method is introduced and then its extension to the transient heat conduction problem is presented. The symmetry of the matrix exponential of PTI in heat conduction is proved and used in subdomain integration to reduce computational expense a great deal. For nonlinear heat conduction, the predictor-corrector algorithm is employed to solve the nonlinear equations. Numerical examples validate the method.