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...

Radiative transfer through water spray curtains has been presently addressed in conditions similar to devices used in fire protection systems. The radiation propagation from the heat source through the medium is simulated using a 2D Discrete Ordinates Method. The curtain is treated as an absorbing and anisotropically scattering medium, made of droplets injected in a mixing of air, water vapor a...

Three-dimensional numerical computations were carried out to understand the overlap effect of the transmitted pulses in a cubic participating medium subjected to a diffuse square pulse train using the transient discrete ordinates method with the pulse boundary condition. In concrete terms, the effects of the pulse width and pulse train interval on the divergence of radiative heat flux were scru...

A polynomial expansion procedure and the ADO (analytical discrete-ordinates) method are used to compute the viscous-slip coefficient, the thermal-slip coefficient, and the temperature-jump coefficient from the linearized Boltzmann equation (LBE) for rigid-sphere interactions and the Cercignani–Lampis (CL) boundary condition. These same quantities are also computed from five kinetic models, with...

The creation and rendering of realistic water scenes is one of the challenging tasks in Computer Graphics. To reproduce the illumination and colour inside water bodies an algorithm capable of dealing with media with anisotropic and multiple scattering has to be used. We have chosen the discrete ordinates method to solve the problem of light transport. Both the theoretical basis and the algorith...

Neutron cross section matrices for fission and scattering data are required each material, temperature, enrichment level to calculate the neutron transport equation accurately. This information can be a limiting factor when using multigroup discrete ordinates (SN) method number of energy groups is large. Machine Learning (ML) used replace need by reproducing function that maps scalar flux sourc...

A recently established version of the discrete-ordinates method is used to develop a solution to a class of problems in the theory of rarefied-gas dynamics where temperature and density effects are coupled. In particular, accurate solutions for the temperature perturbation, the density perturbation, and the heat flux are developed and evaluated for the flow, described by the Bhatnagar, Gross, a...

An analytical version of the discrete-ordinates method is used to develop a concise and particularly accurate solution of the heat-transfer problem for a binary gas mixture confined between two parallel plates. The formulation of the problem allows general specular-diffuse Maxwell boundary conditions for each of the two types of particles and is based on a form of the linearized Boltzmann equat...