Regular and singular eigenfunctions of the finite moments transport method in optically thick media
- Keldysh Institute of Applied Mathematics, Moscow (Russian Federation)
The analytical representation of eigenfunctions for the finite moments method grid approximations of the radiative transport equations is constructed in slab geometry problems. The truncated balance algorithm is used. For the optically thick slab the slowly varying eigenfunctions, included in the regular component of the solution, are chosen. The coarse grid algorithms or diffusion approximations at the specific boundary conditions can be used for the determination of this component. The other eigenfunctions determine the singular component of the grid solution. On coarse grids it represents the {open_quotes}transition regime{close_quotes} with typical oscillations or slow damping in boundary layers, strongly differing from the singular component of the exact solution. The possibilities of the algorithm parameter choice are discussed to provide the correct computation of the boundary layer regime.
- OSTI ID:
- 459214
- Report Number(s):
- CONF-950420--; CNN: Grant N 93-011-1689
- Country of Publication:
- United States
- Language:
- English
Similar Records
Regularization of singular eigenfunctions of an operator with continuous spectra: With applications for ballooning modes in toroidally rotating tokamaks
Singular eigenfunctions for shearing fluids I