Continuous pseudospectral methods for the neutron diffusion equation in 1D geometries
✍ Scribed by S. González-Pintor; D. Ginestar; G. Verdú
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 761 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
✦ Synopsis
The P L equations are classical approximations to the neutron transport equation that admit a diffusive form. The diffusive form of the P 1 approximation is known as the neutron diffusion equation. Different methods based on the expansion of the neutron flux in terms of a continuous basis of polynomials have been developed for the neutron diffusion equation and tested using two 1D benchmark problems.
📜 SIMILAR VOLUMES
A few years ago, Costabel and Dauge proposed a variational setting, which allows one to solve numerically the timeharmonic Maxwell equations in 3D geometries with the help of a continuous approximation of the electromagnetic field. In this paper, we investigate how their framework can be adapted to
We present a fully conservative, high-resolution, finite volume algorithm for advection-diffusion equations in irregular geometries. The algorithm uses a Cartesian grid in which some cells are cut by the embedded boundary. A novel feature is the use of a "capacity function" to model the fact that so