Transient solutions of two-dimension convective diffusion equation using regular boundary element method

Regular boundary element method (R-BEM) is applied to analyze the time-dependent convective diffusion equation. We deal with a two-dimension model as a simple example in order to study stability and accuracy of transient regular boundary element (R-BE) solutions. It is found that R-BE solutions are unconditionally stable even for the condition that the Courant number > 1 and the diffusion number > 1/2. Furthermore, we can show that transient R-BE solutions as well as conventional steady-state BE solutions have second-order accuracy. It is shown that the R-BEM is available for the transient analysis of two-dimension convective diffusion equations.