Tests Of Performance Of The Boundary Element Dual Reciprocity Method—Multi-Domain Approach For 3d Problems.

Abstract

In this paper, aspects regarding implementation of the boundary element dual reciprocity
method—multi-domain approach (DRM-MD), in respect to 3D problems are reviewed. Results of
numerical tests on a 3D advection–diffusion problem with non-uniform velocity field are presented.
The sensitivity of the accuracy and stability of the codes to the continuity of the elements, scaling,
internal DRM nodes and mesh refinement have been tested. The results show that scaling is essential
and that mesh refinement and/or internal DRM nodes improve the accuracy when the nonhomogeneous
term of the governing equation becomes dominant. The computer code implemented
with discontinuous elements offers higher accuracy, especially for advection dominant transport, but is
much slower than the computer code with continuous elements. At the present stage, the discontinuous
element code has the advantage of flexibility since it can solve non-homogeneous domains.