Abstract
We derive new formulae for the fundamental solutions of slow viscous flow, governed by the Stokes equations, in a half-space. They are simpler than the classical representations obtained by Blake and collaborators, and can be efficiently implemented using existing fast solver libraries. We show, for example, that the velocity field induced by a Stokeslet can be annihilated on the boundary (to establish a zero-slip condition) using a single reflected Stokeslet combined with a single Papkovich-Neuber potential that involves only a scalar harmonic function. The new representation has a physically intuitive interpretation.
Original language | English (US) |
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Article number | 302 |
Journal | Journal of Fluid Mechanics |
Volume | 776 |
DOIs | |
State | Published - Jul 2 2015 |
Keywords
- Stokesian dynamics
- boundary integral methods
- low-Reynolds-number flows
ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering