4 papers
A posteriori error estimates for mixed finite element discretization of the multigroup Neutron Simplified Transport equations with Robin boundary condition
Patrick Ciarlet, Minh-Hieu Do, Mario Gervais +1
We analyse a posteriori error estimates for the discretization with mixed finite elements on simplicial or Cartesian meshes of the multigroup neutron simplified transport (SPN ) eq…
Cycle-Free Polytopal Mesh Sweeping for Boltzmann Transport
Ansar Calloo, Matthew Evans, Henry Lockyer +3
We introduce a novel property of bounded Voronoi tessellations that enables cycle-free mesh sweeping algorithms. We prove that a topological sort of the dual graph of any Voronoi t…
An Application of Reduced Basis Methods to Core Computation in APOLLO3
Yonah Conjungo Taumhas, Geneviève Dusson, Virginie Ehrlacher +2
In the aim of reducing the computational cost of the resolution of parameter-dependent eigenvalue problems, a model order reduction (MOR) procedure is proposed. We focus on the cas…
Impact of physical model error on State Estimation for neutronics applications
Y. Conjungo Taumhas, D. Labeurthre, F. Madiot +2
In this paper, we consider the inverse problem of state estimation of nuclear power fields in a power plant from a limited number of observations of the neutron flux. For this, we…