Conservative interpolation for the boundary integral solution of the NavierStokes equations
Abstract
The Dual Reciprocity Method (DRM) is a technique to transform the domain integrals that appear in the boundary element method into equivalent boundary integrals. In this approach the nonlinear terms are usually approximated by mathematical interpolation applied to the convective terms of the form of the NavierStokes equations. In this paper we introduce a conservative interpolation scheme that satisfies the continuity equation and performs better than pure mathematical interpolation. The new scheme together with a subdomain variation of the dual reciprocity method allows better approximation of the nonlinear terms in the NavierStokes equations for moderate Reynolds number.
 Publication:

Computational Mechanics
 Pub Date:
 2000
 DOI:
 10.1007/s004660000187
 Bibcode:
 2000CompM..26..507F