A review of the facile (FN) method in particle transport theory

DOI10.1080/00411458508211686zbMath0624.65142OpenAlexW2017390979MaRDI QIDQ3026289

R. D. M. Garcia

Publication date: 1985

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411458508211686

zbMATH Keywords

Green's functionsneutron transport theoryparticle transport problemsfacile FN method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70)

Related Items (11)

Solution of the three‐dimensional transport equation using the spectral methods ⋮ Some analytical results for radiative transfer in thick atmospheres ⋮ The searchlight problem for radiative transfer in a finite slab ⋮ The FN method in atmospheric radiative transfer ⋮ Spectral method for solution of the fractional transport equation ⋮ Radiative transfer half-space problems by the source function method ⋮ Poiseuille and thermal-creep flow in a cylindrical tube ⋮ A discrete-ordinates solution for heat transfer in a plane channel ⋮ Iterative inverse radiative transfer method to estimate optical thickness and surface albedo ⋮ Laser radiation in active amplifying media treated as a transport problem: Transfer equation derived and exact solved ⋮ Exact solution of the transport equation in finite media with a plane and uniform point source and flux normally incident at the faces from outside

Uses Software

• LINPACK

Cites Work

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• Elementary solutions of the transport equation and their applications
• Radiation transport in plane-parallel media with non-uniform surface illumination
• Non-existence of a steady rarefied supersonic flow in a half-space
• Strong evaporation into a half space
• Multigroup transport theory with anisotropic scattering
• The \(F_ n\) method for radiative transfer problems without azimuthal symmetry
• Strong evaporation into a half space. II. The three-dimensional BGK model
• Multislab multigroup transport theory with Lth order anisotropic scattering
• Rigorous constructive solution to monodimensional Poiseuille and thermal creep flows
• Some exact numerical results for the BGK model: Couette, Poiseuille and thermal creep flow between parallel plates
• Elementary solutions of the linearized gas-dynamics Boltzmann equation and their application to the slip-flow problem
• On the singular eigenfunctions for linear transport in an exponential atmosphere
• On computing eigenvalues in radiative transfer
• A concise and accurate solution for Poiseuille flow in a plane channel
• Linear transport in an exponential atmosphere
• On the completeness of elementary solutions of the transport equation for an exponential atmosphere
• Orthogonality of a Set of Polynomials Encountered in Neutron-Transport and Radiative-Transfer Theories

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