Generation of curvilinear coordinates on multiply connected regions with boundary singularities

@article{Villamizar2007GenerationOC,
  title={Generation of curvilinear coordinates on multiply connected regions with boundary singularities},
  author={Vianey Villamizar and Otilio Rojas and Joseph Mabey},
  journal={J. Comput. Physics},
  year={2007},
  volume={223},
  pages={571-588}
}
A new algorithm to generate smooth two-dimensional boundary conforming coordinates, with grid lines control, on multiply connected regions including boundary singularities, is devised. The technique fits into the category of elliptic grid generators, since it is based on the numerical solution of Poisson equations. The physical domain D is transformed into a topologically equivalent connected rectangular domain D^' by defining a branch cut inside D. Control of the grid line spacing over the… CONTINUE READING