A new Discrete Ordinates transport solver for unstructured tetrahedral meshes is presented. The solver uses the Discontinuous Galërkin Finite Element Method with linear or quadratic expansion of the flux within each cell. The solution of the one-group problem is obtained with non-preconditioned fixed-point or GMRES iterations. Precision and performances of the solver are evaluated on the 3D Radiation Transport Benchmark Problems proposed by Kobayashi, showing very good agreement with the reference and good computing times in serial execution
This paper describes discretization of transport equations on unstructured meshes with cell-centered...
Characteristic spatial quadratures for discrete ordinates calculations on meshes of arbitrary tetrah...
International audienceDue to its integro-differential nature, deriving schemes for numerically solvi...
Abstract: The problem of solving the transport equation by the discontinuous finite elemen...
This paper describes applications of the discretization procedure presented in the companion paper [...
This paper presents an implementation and a comparison of two spatial discretisation schemes over a ...
This paper introduces a new finite element approximation for multi-dimensional transport problems in...
This is the final report of a three-year, Laboratory Directed Research and Development (LDRD) projec...
In this work, the Integro-Differential Transport solver (IDT), which is one of the transport solvers...
A numerically stable, accurate, and robust form of the exponential characteristic (EC) method, used ...
International audienceIn this paper, we propose a new non-linear technique for accelerating the solu...
AbstractNumerical tests are used to evaluate the accuracy of two finite element formulations associa...
As computing power gets better and better, computer codes that use a deterministic method seem to be...
Abstract: A new characteristic discrete ordinates method for solving the transport equatio...
The diffusion synthetic acceleration (DSA) method has emerged as a powerful tool for accelerating th...
This paper describes discretization of transport equations on unstructured meshes with cell-centered...
Characteristic spatial quadratures for discrete ordinates calculations on meshes of arbitrary tetrah...
International audienceDue to its integro-differential nature, deriving schemes for numerically solvi...
Abstract: The problem of solving the transport equation by the discontinuous finite elemen...
This paper describes applications of the discretization procedure presented in the companion paper [...
This paper presents an implementation and a comparison of two spatial discretisation schemes over a ...
This paper introduces a new finite element approximation for multi-dimensional transport problems in...
This is the final report of a three-year, Laboratory Directed Research and Development (LDRD) projec...
In this work, the Integro-Differential Transport solver (IDT), which is one of the transport solvers...
A numerically stable, accurate, and robust form of the exponential characteristic (EC) method, used ...
International audienceIn this paper, we propose a new non-linear technique for accelerating the solu...
AbstractNumerical tests are used to evaluate the accuracy of two finite element formulations associa...
As computing power gets better and better, computer codes that use a deterministic method seem to be...
Abstract: A new characteristic discrete ordinates method for solving the transport equatio...
The diffusion synthetic acceleration (DSA) method has emerged as a powerful tool for accelerating th...
This paper describes discretization of transport equations on unstructured meshes with cell-centered...
Characteristic spatial quadratures for discrete ordinates calculations on meshes of arbitrary tetrah...
International audienceDue to its integro-differential nature, deriving schemes for numerically solvi...