G. Houzeaux, B. Eguzkitza, R. Aubry, H. Owen and M. Vázquez
The appealing characteristics of the Chimera method enable many applications: simplified mesh generation, local refinement, moving components, and optimization. The proposed implementation of the method consists in two steps: hole cutting of the background mesh and connection of the patch and background meshes with the so-called extension elements. The result is an overlapping and non-matching mesh, on which the Navier–Stokes equations are solved. It is versatile (PDE independent), implicit (no additional iterative loop), and parallel (it consists of adding elements).