Role of Basset history on particle evolution in turbulence
Abstract
Dynamics of rigid spherical particles in a fluid flow is given by the Maxey-Riley equation. This non-local evolution equation was shown in Prasath et al. to be mapped as a modified Robin boundary condition to the 1D heat equation. In this modified form, the history of the particle has an evolution equation and can be accurately computed by a numerically inexpensive method. We develop an efficient scheme, leveraging this rewritten history and approximating the fluid flow by using local gradient information, to evolve the particle dynamics. This numerical method eliminates the need to use iterative scheme at each time-step for non-linear flow fields, making the evolution simple. We further show its applicability in simulating particle dynamics in turbulence, relevant in various natural and industrial phenomena.
- Publication:
-
APS Division of Fluid Dynamics Meeting Abstracts
- Pub Date:
- November 2019
- Bibcode:
- 2019APS..DFDM04002S