Spectral element solutions for the PN neutron transport equations
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Summary
The application of the Legendre spectral element method to the steady one-velocity P N equations describing neutron transport in a one-dimensional heterogeneous slab is discussed and key elements related to its efficiency are analyzed.
- Type
- article
- Published
- 2011-04-01
- Cited by
- 14
- References
- 13
- OpenAlex
- https://openalex.org/W1980656242
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:120823211
Keywords
Neutron transport, Legendre polynomials, Spectral element method, Benchmark (surveying), Slab
References
- Nuclear Reactor Theory
- Computational Methods of Neutron Transport
- Asymptotic Derivation of the Multigroup P1 and Simplified PN Equations with Anisotropic Scattering
- Neutron transport with anisotropic scattering: theory and applications
- High-Order Methods for Incompressible Fluid Flow. By M. O. DEVILLE, P. F. FISCHER & E. H. MUND. Cambridge University Press, 2002. 528 pp. ISBN 0521453097. £60
- Finite-Element Preconditioning for Pseudospectral Solutions of Elliptic Problems
- Elementary solutions of the transport equation and their applications
- F/sub N/ method in neutron-transport theory. Part I: theory and applications
- Higher Order Methods for Incompressible Fluid Flow: by Deville, Fischer and Mund, Cambridge University Press, 499 pp.
- Simplified P N and A N methods in neutron transport
- The Study of One-Speed Multiregion Transport Problems in Plane Geometry by the Method of Boundary Sources
- THE EIGENVALUES OF SECOND-ORDER SPECTRAL DIFFERENTIATION MATRICES*
- Analytical Benchmarks for Nuclear Engineering Applications Case Studies in Neutron Transport Theory
- High-Order Methods for Incompressible Fluid Flow
Cited by
- The spectral element approach for the solution of neutron transport problems
- Numerical Methods for Neutron Transport Calculations of Nuclear Reactors
- An efficient implicit spectral element method for time-dependent nonlinear diffusion equations by evaluating integrals at one quadrature point
- Integral Neutron Transport and New Computational Methods: A Review
- Assessment of the performance of the spectral element method applied to neutron transport problems
- The spectral element method for static neutron transport in AN approximation. Part II
- A Legendre spectral element method on a large spatial domain to solve the predator–prey system modeling interacting populations
- A spectral element method for solving the Pennes bioheat transfer equation by using triangular and quadrilateral elements
- An averaged vector field Legendre spectral element method for the nonlinear Schrödinger equation
- A geometry conforming isogeometric method for the self-adjoint angular flux (SAAF) form of the neutron transport equation with a discrete ordinate (SN) angular discretisation
- Energy-preserving methods for non-smooth nonlinear Schrödinger equations
- A symmetric interior-penalty discontinuous Galerkin isogeometric analysis spatial discretization of the self-adjoint angular flux form of the neutron transport equation
- NURBS-enhanced finite element spatial discretisation methods for the steady-state multigroup neutron diffusion equation
- The spectral element method for static neutron transport in A approximation. Part II
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