Abstract
The conventional boundary element method (BEM) needs a domain integral in convection-diffusion analysis. This paper shows that the convection-diffusion problem can be solved effectively by using the triple-reciprocity boundary element method without internal cells. In this method, the term of convection is treated as same as heat generation, and the values of the term are interpolated by using integral equations. This method involves the uses of arbitrary internal points instead of internal cells. In this method, time-dependent fundamental solutions are used. However, the CPU time for calculation does not increase rapidly with increasing number of time steps, because the temperature at the previous time step is considered as the initial (pseudo-initial) value at the current time step. The initial (pseudo-initial) value can be solved effectively by using the triple-reciprocity boundary element method without internal cells.
