The modified spectral deterministic method applied to fixed–source discrete ordinates problems in X,Y–geometry

Sparse Discrete Ordinates Method in Radiative Transfer

The stationary monochromatic radiative transfer equation (RTE) is a partial differential transport equation stated on a five-dimensional phase space, the Cartesian product of physical and angular domain. We solve the RTE with a Galerkin FEM in physical space and collocation in angle, corresponding to a discrete ordinates method (DOM). To reduce the complexity of the problem and to avoid the “cu...

The Nodal Discrete Ordinates Method and Its Application to Lwr Lattice Problems

An Improved Parallelism Scheme for Deterministic Discrete Ordinates Transport

In this paper we demonstrate techniques for increasing the node-level parallelism of a deterministic discrete ordinates neutral particle transport algorithm on a structured mesh to exploit many-core technologies. Transport calculations form a large part of the computational workload of physical simulations and so good performance is vital for the simulations to complete in reasonable time. We w...

Modified F-Expansion Method Applied to Coupled System of Equation

A modified F-expansion method to find the exact traveling wave solutions of  two-component nonlinear partial differential equations (NLPDEs) is discussed. We use this method to construct many new solutions to the nonlinear Whitham-Broer-Kaup system (1+1)-dimensional. The solutions obtained include Jacobi elliptic periodic wave solutions which exactly degenerate to the soliton solutions, triangu...

A New Version of the Discrete-ordinates Method

A discussion of a modern version of the discrete-ordinates method is given, and in order to demonstrate well some aspects of the method, a very basic transport model is used to solve the elementary critical problem for a bare slab and for a bare cylinder. In addition to numerical results for these basic applications, various extensions of the method made to more challenging problems are noted.