Publications Details

A hybrid solution for advection-diffusion problems with variable advective fields and semi-infinite domains

Driessen, B.J.; Dohner, J.L.

In this paper a hybrid, finite element/boundary element method which can be used to solve for particle diffusion in semi-infinite domains containing geometric obstructions and a variable advective field is presented. In previous work either boundary element or finite element/difference methods were used to solve for particle concentrations in an advective domain. These methods of solution had a number of limitations. Due to limitations in computing spatially dependent Green`s functions, the boundary element method of solution was limited to domains containing only constant advective fields, and due to its inherent formulation, finite element/difference methods were limited to only domains of finite spatial extent. Thus, where the finite element solution was limited, the boundary element solution was not, and where the boundary element solution was limited, the finite element solution was not. In this paper it is proposed to split the total domain into two sub-domains where each method of solution is applicable. For each of these sub-domains, the appropriate solution method is used; thereby, producing a general method of solution for the total semi-infinite domain.