Benchmark results in radiative transfer

DOI10.1080/00411458508211687zbMath0624.65143OpenAlexW2090488048MaRDI QIDQ3026290

R. D. M. Garcia, C. E. Siewert

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1080/00411458508211687

zbMATH Keywords

radiative transferbenchmark problemstest problemsFourier decompositionFN methodtwo-term recursion formula

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70) Radiative transfer in astronomy and astrophysics (85A25)

Related Items

Matrix Riccati Equation Solution of the 1D Radiative Transfer Equation ⋮ The Discrete Ordinates Characteristics Solution to the One-Dimensional Radiative Transfer Equation ⋮ Chandrasekhar Polynomials and the Solution to the Transport Equation in an Infinite Medium ⋮ The Art of Analytical Benchmarking ⋮ Mixed singular-regular boundary conditions in multislab radiation transport ⋮ The Boltzmann-Fokker-Planck equation ⋮ On the dependence of discrete ordinates models for layer reflectance and transmittance on relative optical depth and solar zenith angle ⋮ Convergence of the F_N - method for multi-group transport ⋮ Application of Wiener-Hopf technique to linear nonhomogeneous integral equations for a new representation of Chandrasekhar's \(H\)-function in radiative transfer, its existence and uniqueness ⋮ The FN method in atmospheric radiative transfer ⋮ Radiative transfer half-space problems by the source function method ⋮ A Comparison of Radiances Generated by Selected Methods of Solving the Radiative-Transfer Equation ⋮ Diffuse conditions for efficient solution of multislab radiation transport problems ⋮ On computing some functions basic to the F_Nmethod in radiative transfer ⋮ An improvement of the double discrete ordinate approximation solution by Laplace technique for radiative-transfer problems without azimuthal symmetry and high degree of anisotropy ⋮ Calculating near-singular eigenvalues of the neutron transport operator with arbitrary order anisotropic scattering ⋮ Ivan Kuŝĉer and Adriatic Sea Optics ⋮ Solution of a Riemann-Hilbert problem for a new expression of Chandrasekhar's H-function in radiative transfer ⋮ Iterative inverse radiative transfer method to estimate optical thickness and surface albedo

Uses Software

• EISPACK
• LINPACK

Cites Work

• Unnamed Item
• Unnamed Item
• Multigroup transport theory with anisotropic scattering
• The \(F_ n\) method for radiative transfer problems without azimuthal symmetry
• Matrix eigensystem routines - EISPACK guide. 2nd ed
• On the dispersion function in particle transport theory
• Singular value decomposition and least squares solutions
• On computing eigenvalues in radiative transfer
• Computational Aspects of Three-Term Recurrence Relations
• Orthogonality of a Set of Polynomials Encountered in Neutron-Transport and Radiative-Transfer Theories