A bem analysis for transient conduction—convection problems

A boundary element method (BEM) formulation for the solution of transient conduction‐convection problems is developed in this paper. A time‐dependent fundamental solution for moving heat source problems is utilized for this purpose. This reduces the governing parabolic partial differential equations to a boundary‐only form and obviates the need for any internal discretization. Such a formulation is also expected to be stable at high Peclet numbers. Numerical examples are included to establish the validity of the approach and to demonstrate the salient features of the BEM algorithm.