Nuclear Science and Engineering · 1972 · 29 citations · 0 references
Numerical AnalysisEngineeringNuclear PhysicsPl ApproximationPl EquationsNumerical SimulationTransport PhenomenaNonlinear Hyperbolic ProblemApproximation TheoryBoundary Element MethodMethod Of Fundamental SolutionPhysicsFree Boundary ProblemRadiation TransportNeutron TransportNuclear EngineeringNumerical Method For Partial Differential EquationBoltzmann Transport EquationNatural SciencesRay EffectNeutron Scattering
A discrete ordinate transport equation in two dimensions equivalent to the PL approximation is derived to eliminate the ray effect in the ordinary discrete ordinate equations. The number of the discrete ordinates, or the number of unknown functions of this discrete ordinate equation, is equal to that of the PL equations. Since it is also possible to obtain boundary conditions equivalent to those of the PL approximation at the interface of mediums or at the free surface, we can obtain a solution identical to that of the PL equation.