1988Transport Theory and Statistical PhysicsRequires access

L2-error estimates for the discrete ordinates method for three-dimensional neutron transport

Mohammad Asadzadeh

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Abstract

We prove L2-error estimates for the discrete ordinates method for the angular discretization of the three-dimensional neutron transport equation. The analysis is for monoenergetic three-dimensional transport of neutrons in a homogeneous uniform media and isotropic scattering is assumed. A special quadrature rule with relatively uniformly distributed discrete directions is considered.

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We prove L2-error estimates for the discrete ordinates method for the angular discretization of the three-dimensional neutron transport equation. The analysis is for monoenergetic three-dimensional transport of neutrons in a homogeneous uniform media and isotropic scattering is assumed. A special quadrature rule with relatively uniformly distributed discrete directions is considered.

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Available abstract

We prove L2-error estimates for the discrete ordinates method for the angular discretization of the three-dimensional neutron transport equation. The analysis is for monoenergetic three-dimensional transport of neutrons in a homogeneous uniform media and isotropic scattering is assumed. A special quadrature rule with relatively uniformly distributed discrete directions is considered.

Key concepts: Neutron transport, Ordinate, Discretization, Isotropy, Quadrature (astronomy), Discretization error, Homogeneous, Radiation transport

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