Application of the unsymmetric Lanczos method to radionuclide decay-chain transport in porous media
✍ Scribed by Henian Li; Allan Woodbury; Peter Aitchison
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 224 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0029-5981
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✦ Synopsis
Using either a ÿnite element or ÿnite-di erence method to solve radionuclide waste transport problems involving advection, dispersion, decay and transformation simultaneously is numerically complicated. Most applications have used only one-dimensional transport and extending this approach to higher-dimensional problems is a formidable task. This paper uses the ULR method to reduce the size of the semi-discretized linear system and enables this extension. The development of this application includes a new method for choosing a common starting vector for all species in order to ensure the ULR method is convergent. The results of numerical simulations of application of this method to practical ÿeld contaminant transport problems show the e ciency of the method.