Accurate simulation of transport processes in two-dimensional shear flow

✍ Scribed by Manson, J. Russell ;Wallis, Steve G.

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 132 KB
• Volume: 14
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/(sici)1099-0887(199809)14:9<863::aid-cnm194>3.0.co;2-4

✦ Synopsis

The paper describes a substantial improvement to an existing modelling approach for two-dimensional solute transport. The ¯ow ®eld is represented by a series of streamtubes in which advection is simulated using a highly accurate semi-Lagrangian numerical scheme. Transverse mixing between the streamtubes is treated with a standard numerical method for diusion. Numerical experiments demonstrate that accurate simulations of the longitudinal dispersion caused by the interaction of a simple transverse velocity pro®le and transverse diusion can be obtained over a wide range of time-steps provided that the diusion occurring during the time-step is properly accounted for. The model is ultimately limited by the relatively poor numerical treatment of transverse diusion, but this could be remedied by employing an enhanced numerical method for this term. The paper concludes that this is an area in which future modelling eorts need to be directed.