A quasi-analytical approach to the advection-diffusion-reaction problem, using operator splitting
Verrall, D.P., and Read, W.W. (2016) A quasi-analytical approach to the advection-diffusion-reaction problem, using operator splitting. Applied Mathematical Modelling, 40 (2). pp. 1588-1598.
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Abstract
Solutions of the combined advection-diffusion-reaction (ADR) transport equation are generally restricted to numerical methods. However, each subprocess, advection, diffusion and reaction can all be solved individually using analytical techniques for a variety of situations. We present a simple numerical technique that uses the split operator method, and the Semi-Lagrangian scheme, to combine these analytical solutions. The result is a coherent, quasi-analytical solution to the combined ADR transport equation.
| Item ID: | 42415 |
|---|---|
| Item Type: | Article (Research - C1) |
| ISSN: | 1872-8480 |
| Keywords: | advection, diffusion, reaction, operator splitting, semi-lagrangian, analytical |
| Date Deposited: | 03 Feb 2016 14:56 |
| FoR Codes: | 49 MATHEMATICAL SCIENCES > 4903 Numerical and computational mathematics > 490304 Optimisation @ 100% |
| SEO Codes: | 97 EXPANDING KNOWLEDGE > 970101 Expanding Knowledge in the Mathematical Sciences @ 100% |
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