摘要
We propose a lattice Boltzmann scheme for two-dimensional complex boundaries moving in fluid flow. The hydrodynamic forces exerting on the moving boundaries are calculated based on a stress-integration method proposed before, but the extrapolation procedure is avoided, and the stability of this model is improved. The accuracy and robustness are demonstrated by numerical simulations of a circular particle settling in a twodimensional vertical channel. The numerical convergence is studied by varying the time-step and the dimensionless particle sizes.
We propose a lattice Boltzmann scheme for two-dimensional complex boundaries moving in fluid flow. The hydrodynamic forces exerting on the moving boundaries are calculated based on a stress-integration method proposed before, but the extrapolation procedure is avoided, and the stability of this model is improved. The accuracy and robustness are demonstrated by numerical simulations of a circular particle settling in a twodimensional vertical channel. The numerical convergence is studied by varying the time-step and the dimensionless particle sizes.
基金
Supported by the National Natural Science Foundation of China under Grant Nos 10447001 and 10474109, the Foundation of the Ministry of Personnel of China, Shanghai Supercomputer Center of China, and the Natural Science Foundation of Guangxi Province under Grant No 0640064..The authors thank Professor H. H. Hu for provid- ing the data.
