TY - JOUR
T1 - Accurate simulation of transport processes in two-dimensional shear flow
AU - Manson, J. Russell
AU - Wallis, Stephen George
PY - 1998/9
Y1 - 1998/9
N2 - The paper describes a substantial improvement to an existing modelling approach for two-dimensional solute transport. The flow field 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 diffusion. Numerical experiments demonstrate that accurate simulations of the longitudinal dispersion caused by the interaction of a simple transverse velocity profile and transverse diffusion can be obtained over a wide range of time-steps provided that the diffusion occurring during the time-step is properly accounted for. The model is ultimately limited by the relatively poor numerical treatment of transverse diffusion, 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 efforts need to be directed.
AB - The paper describes a substantial improvement to an existing modelling approach for two-dimensional solute transport. The flow field 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 diffusion. Numerical experiments demonstrate that accurate simulations of the longitudinal dispersion caused by the interaction of a simple transverse velocity profile and transverse diffusion can be obtained over a wide range of time-steps provided that the diffusion occurring during the time-step is properly accounted for. The model is ultimately limited by the relatively poor numerical treatment of transverse diffusion, 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 efforts need to be directed.
UR - http://www.scopus.com/inward/record.url?scp=0032172439&partnerID=8YFLogxK
U2 - 10.1002/(SICI)1099-0887(199809)14:9<863::AID-CNM194>3.0.CO;2-4
DO - 10.1002/(SICI)1099-0887(199809)14:9<863::AID-CNM194>3.0.CO;2-4
M3 - Article
VL - 14
SP - 863
EP - 869
JO - International Journal for Numerical Methods in Biomedical Engineering
JF - International Journal for Numerical Methods in Biomedical Engineering
SN - 2040-7939
IS - 9
ER -