A local support-operators diffusion discretization scheme for quadrilateral r-z meshes Academic Article uri icon


  • We derive a cell-centered 2-D diffusion differencing scheme for arbitrary quadrilateral meshes inr-zgeometry using a local support-operators method. Our method is said to be local because it yields a sparse matrix representation for the diffusion equation, whereas the traditional support-operators method yields a dense matrix representation. The diffusion discretization scheme that we have developed offers several advantages relative to existing schemes. Most importantly, it offers second-order accuracy even on meshes that are not smooth, rigorously treats material discontinuities, and has a symmetric positive-definite coefficient matrix. The only disadvantage of the method is that it has both cell-center and face-center scalar unknowns as opposed to just cell-center scalar unknowns. Computational examples are given which demonstrate the accuracy and cost of the new scheme relative to existing schemes. 1998 Academic Press.

published proceedings


author list (cited authors)

  • Morel, J. E., Roberts, R. M., & Shashkov, M. J.

citation count

  • 86

complete list of authors

  • Morel, JE||Roberts, RM||Shashkov, MJ

publication date

  • July 1998