New spatial and angular flux approximations and accelerations for the finite element transport code TRISM
| Autor: | Donald J. Dudziak, J. Stepanek, J.W. Davidson, C.E. Higgs |
|---|---|
| Rok vydání: | 1986 |
| Předmět: |
Physics
Mathematical analysis Extrapolation Energy Engineering and Power Technology Mixed finite element method Finite element method Nuclear Energy and Engineering Triangle mesh Trigonometric functions Equidistant Safety Risk Reliability and Quality Waste Management and Disposal Legendre polynomials Extended finite element method |
| Zdroj: | Progress in Nuclear Energy. 18:161-171 |
| ISSN: | 0149-1970 |
| DOI: | 10.1016/0149-1970(86)90023-5 |
| Popis: | Selected candidate methods foreseen for new spatial and angular flux approximation in the deterministic triangular mesh finite element transport code TRISM are investigated using slab geometry. Lagrangian and Legendre finite elements are compared with a diamond scheme in space. The method with flat, linear and quadratic surface currents in equidistant angular cosine steps and trapezoidal angular boundary flux approximation are compared with the S N method in angle. Based on numerical calculations it is shown that a linear surface current approximation leads to the best results with a reasonably simple formalism. This method is then developed for general triangles. In the last section the efficiency of the Chebyshev acceleration method for the outer iteration process as well as the efficiency of the source/flux extrapolation acceleration method for the inner iteration process is demonstrated using a test case in X - Y geometry. Both methods lead to an important decrease in the number of iterations. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|