Three-dimensional h-adaptivity for the multigroup neutron diffusion equations

Three-dimensional h-adaptivity for the multigroup neutron diffusion equations

Adaptive mesh refinement (AMR) has been shown to allow solving partial differential equations to significantly higher accuracy at reduced numerical cost. This paper presents a state-of-the-art AMR algorithm applied to the multigroup neutron diffusion equation for reactor applications. In order to follow the physics closely, energy group-dependent meshes are employed. We present a novel algorith...

Goal-Oriented h-Adaptivity for the Multigroup SPN Equations

We investigate application of goal-oriented mesh adaptivity to the SPN multigroup equations. This technique utilizes knowledge of the computational goal and combines it with mesh adaptivity to accurately and rapidly compute quantities of interest. Specifically, the local error is weighted by the importance of a given cell toward the computational goal, resulting in appropriate goal-oriented err...

Parallel Solvers for the Transient Multigroup Neutron Diffusion Equations

Multi-dimensional Automatic Mesh Refinement for the Multigroup Spn Equations

Mesh refinement techniques rely on the use of a posteriori error estimators, which allow the measure, control and minimization of approximation errors. In the a posteriori error estimator theory, the computed solution itself is used to provide inexpensively local error estimations, whereby the numerical solution itself is used to assess the accuracy [2]. By effectively estimating the error, the...

Parallel Solvers for Neutron Diffusion Equations