A P1 conforming DSA scheme for DGFEM SN transport Conference Paper uri icon

abstract

  • The consistency of the lower-order diffusion equations in Diffusion Synthetic Acceleration (DSA) is a crucial element for the stability and effectiveness of any DSA methods. A P1 conforming DSA scheme is proposed for the SN transport equations discretized in space using a Discontinuous Galerkin Finite Element Methods (DGFEM). The DSA scheme is obtained employing a variational argument. Comparisons of this conforming scheme with the mixed DGFEM form derived by Warsa, Wareing and Morel for the continuous P1 equation are presented. Some preliminary results with a simple 2-cell problem suggest that this new form is stable and can also be applied to problems with highly anisotropic scattering.

author list (cited authors)

  • Wang, Y., & Ragusa, J. C.

publication date

  • December 2009