An explicit finite difference scheme with spectral boundary conditions for particulate flows

✍ Scribed by A. Perrin; H.H. Hu

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 829 KB
• Volume: 227
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1016/j.jcp.2008.06.007

✦ Synopsis

We present an explicit finite difference scheme for solving two-dimensional particulate flow problems with a special treatment of the boundary conditions on the particle surface based on spectral solutions to the Stokes equations. This scheme allows for accurate solution of particulate flows up to a particle Reynolds number of one hundred on coarse grids (10-20 grid spacings per particle diameter). The coarse grid provides additional computational benefit by allowing for larger time steps required by the stability constraint. The method is validated and demonstrated through a number of examples, which include flow over a stationary cylinder, a cylinder moving with constant velocity, sedimentation of a free particle, the drafting, kissing, and tumbling of two particles, and 248 particles falling in a closed box.