| Autor: |
A.V. Gichuk, L.P. Fedotova, R.M. Shagaliev |
| Rok vydání: |
2006 |
| Předmět: |
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| Zdroj: |
Lecture Notes in Computational Science and Engineering ISBN: 3540281223 |
| DOI: |
10.1007/3-540-28125-8_20 |
| Popis: |
One of the main difficulties during finite-difference simulation of spectral 2D problems of particle transport and interaction with medium is to find cost-efficient solutions to rather large systems of interconnected difference equations. The approach based on the method of simple iterations combined with various acceleration algorithms is very often used to solve numerically both single-group and multiple-group difference transport equations. Note that conceptually many various acceleration methods are close to the method based on introduction of an approximate operator (which is easy-to-use) along with an operator of the original divergent equation. Following this path, a number of efficient methods for solving 2D transport problems have been offered. KM-method is one of them. Finite-difference approximation using the KM-method has a number of features owing to which it becomes highly effective in practice. First of all, one of such features is a combination of explicit calculation of a collision integral with stability and conservativeness, this provides simultaneous satisfaction of the two balance correlations typical for transport equation: for particle transport and for the number of particles resulted from one collision event. The scheme stability in time has been proved by analytical studies of some partial cases and the experience of using KM-method in practice. The approaches used to construct the KM-method found their further development in MKMand KM3-methods. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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