Advanced finite element techniques in reactor theory
Conference
·
OSTI ID:4112588
The solution to the Helmholtz equation, encountered in nuclear reactor theory, is obtained with the finite element technique, employing linear and quadratic Lagrange and cubic Hermite interpolation polynomials, and compared with the classical finite difference result. Transforming the Helmholtz equation into a weak form, the application of the finite element method is possible. Comparing the eigenvalues obtained using different numerical schemes with analytic results, the cubic Hermite finite element technique yields the most accurate results and highest order of convergence for identical mesh spacing. Optimization of the computer programs may demonstrate considerable savings in computer time using the cubic Hermite finite element technique. The behavior of the solution for each of the various numerical methods is investigated as material discontinuities become more pronounced. (auth)
- Research Organization:
- Originating Research Org. not identified
- NSA Number:
- NSA-33-014165
- OSTI ID:
- 4112588
- Country of Publication:
- United States
- Language:
- English
Similar Records
Iterative solution of the diffusion and P1 finite element equations
Comparative study of the boundary element technique and the finite element method in two dimensional eigenvalue problem
Solution of the finite element diffusion and P/sub 1/ equations by iteration
Thesis/Dissertation
·
Sat Jan 31 23:00:00 EST 1976
·
OSTI ID:4067391
Comparative study of the boundary element technique and the finite element method in two dimensional eigenvalue problem
Thesis/Dissertation
·
Thu Dec 31 23:00:00 EST 1981
·
OSTI ID:5672867
Solution of the finite element diffusion and P/sub 1/ equations by iteration
Journal Article
·
Wed Jun 01 00:00:00 EDT 1977
· Nucl. Sci. Eng.; (United States)
·
OSTI ID:7220293