A P_1 CONFORMING DSA SCHEME FOR DGFEM S_N TRANSPORT

摘要

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 P_1 conforming DSA scheme is proposed for the S_N 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 P_1 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.