Spatial and angular variation and discretization of the self-adjoint transport operator
This mathematical treatise begins with a variational derivation of a second-order, self-adjoint form of the transport equation. Next, a space variational functional whose minimization solves the transport equation is derived. A one-dimensional example is given. Then, {ital S{sub N}} and {ital P{sub N}} discretized functionals are expressed. Next, the surface contributions to the functionals are discretized. Finally, the explicit forms of the {rvec D} and {rvec H} matrices are given for four different geometries: hexahedron, wedge, tetrahedron, and pyramid.
- Research Organization:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 442191
- Report Number(s):
- LA-UR-96-3505; ON: DE97001350
- Resource Relation:
- Other Information: PBD: 11 Mar 1996
- Country of Publication:
- United States
- Language:
- English
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