Chapter 3: Diffusion and Convection

The convection-diffusion physical process is very important since it is involved in many engineering problems. The convection-diffusion equation, named the advection-diffusion equation in some contexts, was derived in Chap. 2. This equation models two physical processes: the diffusive process, governed by the diffusion equation, and the convection (or advection) process, governed by the convection (or advection) equation Crank (1979). The Finite Difference Method for the convection-diffusion equation is presented in the first section of this chapter Lapidus and Pinter (1982); Mitchell and Griffiths (1995); Necati Ozisik (1994)…