The Combination of S2 Preconditioning and Positivity-preserving Schemes for Solving the Neutron Transport Equation
Both positivity-preserving and iteration acceleration techniques are key issues when employing numerical methods to solve neutron transport equation.An algorithm combining S2 synthetic acceleration method and positivity-preserving techniques to solve neutron transport equation that defined in one-dimensional planar geometry.The linear discontinuous Galerkin methods are applied to solve both the transport equation and S2 equations.Two kind of simple limiters are involved.The numerical results for solving the classical Reed problem testify the efficiency of our methods.
neutron transport equationpositivity-preservingS2 synthetic accelerationlinear discontinuous Galerkin method