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A vortex method for fluid‐particle systems
Author(s) -
Papanicolaou George,
Zhu Jingyi
Publication year - 1991
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160440104
Subject(s) - reynolds number , vortex , compressibility , particle (ecology) , mechanics , stokes number , voronoi diagram , mathematics , flow (mathematics) , compressible flow , two phase flow , fluid dynamics , classical mechanics , physics , geometry , turbulence , geology , oceanography
We consider a two‐dimensional, dilute fluid‐particle system with low Reynolds number for the flow around the particles and high Reynolds number for the bulk flow. We use a vortex method to calculate numerically the incompressible fluid phase. For the compressible particle phase we use a particle method and Voronoi diagrams to calculate the particle density. We use the Stokes‐Oseen formula to represent approximately the force of the fluid on the particles. We give the results of a numerical experiment that show the effect of fluid particle interaction on the bulk flow.