Treatment of the non-polygonal boundary with the aid of NURBS

Abstract

Within this chapter we deal with the description of the nonpolygonal boundaries of 3D domains which exhibits an important tool for a mesh adaptation and a higher order discretization in CFD. We define our requirements, namely the evaluation of the first and second order derivatives and the (pseudo)inverse mapping. Furthermore, we show that an extension of the approach used in 2D leads to enormous memory requirements. Hence, we propose the boundary description based on a NURBS representation. A detailed comparison of both approaches is presented. © 2010 Springer-Verlag Berlin Heidelberg.