Relation between finite element methods and nodal methods in transport theory
This paper examines the relationship between nodal methods and finite-element methods for solving the discrete-ordinates form of the transport equation in x-y geometry. Specifically, we will examine the relation of three finite-element schemes to the linear-linear (LL) and linear-nodal (LN) nodal schemes. The three finite-element schemes are the linear-continuous-diamond-difference (DD) scheme, the linear-discontinuous (LD) scheme, and the quadratic-discontinuous (QD) scheme. A brief derivation of the (LL) and (LN) nodal schemes is given in the third section of this paper. The approximations that cause the LL scheme to reduce to the DD, LD, and QD schemes are then indicated. An extremely simple method of deriving the finite-element schemes is then introduced.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 5113098
- Report Number(s):
- LA-UR-85-3276; CONF-850963-1; ON: DE86000761
- Resource Relation:
- Journal Volume: 18; Journal Issue: 1-2; Conference: International seminar on finite element and allied methods for reactor physics and shielding calculations, London, UK, 18 Sep 1985
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
NEUTRON TRANSPORT THEORY
FINITE ELEMENT METHOD
DISCRETE ORDINATE METHOD
NUMERICAL SOLUTION
TRANSPORT THEORY
654003* - Radiation & Shielding Physics- Neutron Interactions with Matter
658000 - Mathematical Physics- (-1987)