Spectral element solutions for the \(P_{N}\) neutron transport equations

DOI10.1016/J.COMPFLUID.2010.06.010zbMath1452.82033OpenAlexW1980656242MaRDI QIDQ543879

Ernest Mund

Publication date: 17 June 2011

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2010.06.010

zbMATH Keywords

variational methodsneutron transporthigh order schemesspectral element methods

Mathematics Subject Classification ID

Nuclear reactor theory; neutron transport (82D75) Variational methods applied to problems in statistical mechanics (82M30) Spectral, collocation and related (meshless) methods applied to problems in statistical mechanics (82M22)

Related Items (5)

A spectral element method for solving the Pennes bioheat transfer equation by using triangular and quadrilateral elements ⋮ A Legendre spectral element method on a large spatial domain to solve the predator-prey system modeling interacting populations ⋮ Energy-preserving methods for non-smooth nonlinear Schrödinger equations ⋮ An efficient implicit spectral element method for time-dependent nonlinear diffusion equations by evaluating integrals at one quadrature point ⋮ An averaged vector field Legendre spectral element method for the nonlinear Schrödinger equation

Cites Work

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• Elementary solutions of the transport equation and their applications
• Finite-Element Preconditioning for Pseudospectral Solutions of Elliptic Problems
• The Eigenvalues of Second-Order Spectral Differentiation Matrices
• High-Order Methods for Incompressible Fluid Flow

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