 A General-Purpose Finite Element Method for 3D Radiative Transfer ProblemsErik Meinköhn
A chapter in Numerical Methods in Multidimensional Radiative Transfer, 2009, pp 99-173 from Springer Abstract: Summary This paper presents a continuous finite-element method for solving the resonance-line transfer problem in moving media. The algorithm is capable of dealing with three spatial dimensions, using unstructured grids which are adaptively refined by means of an a-posteriori error indicator. Application of the method to coherent isotropic scattering and complete redistribution gives a result of matrix structure which is discussed in the paper. The solution is obtained by way of an iterative procedure, which solves a succession of quasi-monochromatic radiative transfer problems. It is therefore immediately evident that any simulation of the extended frequency-dependent model requires a solution strategy for the elementary monochromatic transfer problem, which is fast as well as accurate. The present implementation is applicable to arbitrary model configurations with optical depths up to 103–104. Additionally, a combination of a discontinuous finite-element method with a superior preconditioning method is presented, which is designed to overcome the extremely poor convergence properties of the linear solver for optically thick and highly scattering media. Date: 2009 There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it. Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-85369-5_6 Ordering information: This item can be ordered from DOI: 10.1007/978-3-540-85369-5_6 Access Statistics for this chapter More chapters in Springer Books from Springer |
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