A Lagrangian vorticity method for two-phase particulate flows with two-way phase coupling
Journal Article
·
· Journal of Computational Physics
- Univ. of Iowa, Iowa City, IA (United States)
Two-phase flows involving solids particles or droplets in gases or bubbles or sediment in liquids have been subject to intensive study for decades due to their wide range of applications in industrial and environmental processes. Here, a Lagrangian vorticity-based method is presented for simulating two-way phase interaction in a two-phase flow with heavy particles. The flow is computed by solving the vorticity transport equation, including the particle-induced vorticity source, and the mass conservation equation for particle concentration on separate sets of fluid control points and particle control points, respectively. The fluid control points are advected with the local fluid velocity, plus a diffusion velocity for viscous problems to account for the spread of the vorticity support via diffusion, while the particle control points are advected by solution of the Lagrangian particle momentum equation. The particle concentration and vorticity transport equations are evaluated using volume-averaged particle velocity and contact force fields, obtained by a weighted average over nearby particle control points. One novel feature of the numerical method is the scheme for calculation of the particle-induced vorticity source using a moving least-square differentiation scheme across the two sets of control points. Another feature of the method is its ability to absorb the vorticity generated by particle forces through an adaptive scheme for generation of new fluid control points. Test calculations with a vortex patch filled with particles show that the numerical results compare well with the results obtained both by a traditional finite-difference method and by an asymptotic approximation valid for small Stokes numbers.
- OSTI ID:
- 302326
- Journal Information:
- Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 1 Vol. 148; ISSN JCTPAH; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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