The use of variable fundamental solutions in the Localised Regular Dual Reciprocity Method

CARUSO NAHUEL DOMINGO

Oxford

Conferencia; XII UK Conference on Boundary Integral Methods; 2019

The Localized Regular Dual Reciprocity Method (LRDRM) is an integral domain decomposition method where the boundary conditions are imposed at the local interpolation level, all the calculated boundary integrals are regular and the local interpolation functions themselves satisfy the partial differential equation to be solved [1, 2]. A new formulation of the LRDRM for the solution of steady-state convection-diffusion-reaction problems with variable velocity is presented in this work. This new formulation is based on the fundamental solution of convection-diffusion-reaction equation with constant coefficients intead of Laplacian. In this approach, the velocity field is locally descomposed in a local average and a perturbation part that later it is dealt with dual reciprocity approximation. Numerical results are presented for two simple problems and the comparisons against the previous formulation.