Poster Session

Homgenization of Time Dependent Random Flow

Junlong Lyu
The University of Hong Kong
Hong Kong
Co-Author(s):    Dr. Zhang, Zhiwen
We consider the problem of computing the effective diffusivity of the passive tracer model when the velocity field is a time dependent incompressible random field. We also investigate the existence of the residual diffusivity. Namely we want to find the limit situation when the molecular diffusivity is small, and the flow are dominated by the velocity field. We design efficient numerical integrators to solve the target model problems and obtain some numerical results that show the existence of the convection enhanced behaviours for the flow.