Lattice Boltzmann Method for the Advection and Diffusion Equation in Shallow Water

Authors

  • Haifei Liu Beijing Normal University, 19 Xinjiekouwai Street, Beijing, 100875, P. R. China
  • Yu Ding Beijing Normal University, 19 Xinjiekouwai Street, Beijing, 100875, P. R. China

Abstract

Solute transport exists in most natural flows, which can be described by the advective-diffusive equation. In numerical modeling of such phenomenon, it is important to deal with irregular boundary and angular boundary points for hydrodynamic and water quality modeling. However, there is no clear control method for corner points in water quality modeling in existing literature. In this study, two-dimensional symmetrical flow in a cubic cavity with contaminant transport is investigated based on the presented control mechanisms: the lattice Boltzmann method for the advection and diffusion equation. For corner points of square cavity, a corner points controlling method proposed in this study shows great validity and reliability in the application of models.

Author Biographies

Haifei Liu, Beijing Normal University, 19 Xinjiekouwai Street, Beijing, 100875, P. R. China

School of Environment,Associate Professor

Yu Ding, Beijing Normal University, 19 Xinjiekouwai Street, Beijing, 100875, P. R. China

School of Environment, postgraduate student

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Published

2014-08-04

Issue

Proceedings of the International Conference on Marine and Freshwater Environments (iMFE 2014) - Our Water, Our Future

Section

Environmental Modeling, Risk Assessment and Decision Making (EMR)

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