Asymptotic diffusion accelerated discontinuous finite element methods for transport problems
Thesis/Dissertation
·
OSTI ID:10105698
The diffusion synthetic acceleration (DSA) method has emerged has a powerful tool for accelerating the iterative convergence rate of discrete-ordinate transport calculations. In multi-dimensional geometries, only the diamond-differenced scheme has been efficiently solved by the DSA procedure. More advanced and accurate schemes, such as the discontinuous finite element (DFE) schemes, have not been efficiently solved by DSA because applying the standard DSA procedure results in a large, complicated system of equations that cannot be collapsed into a efficiently solvable diffusion equation. We present a new procedure for diffusion-accelerating certain DFE schemes for slab and x-y geometries. The novel aspect of this procedure is that the discrete diffusion problem is derived from an asymptotic expansion of the discrete transport problem.
- Research Organization:
- Los Alamos National Lab., NM (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 10105698
- Report Number(s):
- LA--12425-T; ON: DE93002844
- Country of Publication:
- United States
- Language:
- English
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