Nonlinear Projective-Iteration Methods for Solving Transport Problems on Regular and Unstructured Grids

Anistratov, Dmitriy Y. ; Constantinescu, Adrian ; Roberts, Loren ; Wieselquist, William

North Carolina State University

关键词: Numerical Solution;    Geometry;    22 General Studies Of Nuclear Reactors;    Algorithms;    Hydrodynamics;   

DOI  :  10.2172/909188
RP-ID  :  DOE/ID/14496
RP-ID  :  FG07-03ID14496
RP-ID  :  909188

美国|英语

来源: UNT Digital Library

【 摘 要 】

This is a project in the field of fundamental research on numerical methods for solving the particle transport equation. Numerous practical problems require to use unstructured meshes, for example, detailed nuclear reactor assembly-level calculations, large-scale reactor core calculations, radiative hydrodynamics problems, where the mesh is determined by hydrodynamic processes, and well-logging problems in which the media structure has very complicated geometry. Currently this is an area of very active research in numerical transport theory. main issues in developing numerical methods for solving the transport equation are the accuracy of the numerical solution and effectiveness of iteration procedure. The problem in case of unstructured grids is that it is very difficult to derive an iteration algorithm that will be unconditionally stable.