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: 01 MATHEMATICAL SCIENCES > 0103 Numerical and Computational Mathematics > 010303 Optimisation @ 100%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970101 Expanding Knowledge in the Mathematical Sciences @ 100%
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