A new algorithm for modeling radiative transfer in inhomogeneous three-dimensional media is described. The spherical harmonics discrete ordinate method uses a spherical harmonic angular representation to reduce memory use and time computing the source function. The radiative transfer equation is integrated along discrete ordinates through a spatial grid to model the streaming of radiation. An a...

The numerical solution of the time-dependent neutron transport problem in 2-D Cartesian geometry is considered. The problem is described by a coupled system of hyperbolic partial differential equations with the parameters of multiple groups. The system, for given group parameter, is discretized by a discrete ordinate method (SN) in angular direction and adaptive spline wavelet method with alter...

A new physics package solves radiation transport equations in one space dimension, multiple energy groups and directions. A discontinuous finite element method discretizes radiation intensity with respect to space and angle, and a continuous finite element method discretizes electron temperature in space. A splitting method solves the resulting linear equations. This is a one-dimensional analog...

[1] This article describes one of the scattering algorithms of the three-dimensional polarized radiative transfer model ARTS (Atmospheric Radiative Transfer Simulator) which has been implemented to study for example the influence of cirrus clouds on microwave limb sounding. The model uses the DOIT (Discrete Ordinate Iterative) method to solve the vector radiative transfer equation. The implemen...

a = bubble radius, m b = corrective factor used in Eq. (10) cij = matrix elements of the sensitivity coefficients J e = sample thickness, m f1, f2 = spectral weights of the Henyey–Greenstein phase function HG g = spectral asymmetry factor g1, g2 = spectral parameters of the Henyey–Greenstein phase function HG I = spectral radiation intensity, W m 2 sr 1 J = matrix of the sensitivity coefficient...

This paper presents the solution of coupled radiative transfer equation with heat conduction equation in complex three-dimensional geometries. Due to very different time scales for both physics, the radiative problem is considered steady-state but solved at each time iteration of the transient conduction problem. The discrete ordinate method along with the decentered streamline-upwind Petrov-Ga...

Formulation and verification of unsteady rarefied flow solver based on Boltzmann-ESBGK equations in arbitrary three-dimensional geometries is presented. The solver is based on the finite volume method in physical space and the discrete ordinate method in velocity space with an implicit time discretization. Verification is carried out for an unsteady approach to equilibrium, a steady one-dimensi...

Scalable parallel algorithm for particle transport is one of the main application fields in high-performance computing. Discrete ordinate method (S n ) most popular deterministic numerical methods solving equations. In this paper, we introduce a new large-scale heterogeneous computing energy group time-independent discrete ordinates neutron 3D Cartesian geometry (Sweep3D) on Tianhe-2A supercomp...