期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 307, 期 -, 页码 34-59出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2015.11.019
关键词
Immersed-boundary method; Non-uniform grid; Particle channel flow; Direct forcing
资金
- National Science Foundation under Partnership for International Research and Education (PIRE) in Multiphase Flows at the University of Florida [NSF OISE-0968313]
- U.S. Department of Energy, National Nuclear Security Administration, Advanced Simulation and Computing Program [DE-NA0002378]
This study presents a technique to incorporate spheres in a channel flow that uses a non-uniform Eulerian grid using immersed boundary methods with direct forcing. An efficient algorithm is presented which distributes the Lagrangian markers non-uniformly to match the fluid grid and keep the number of markers optimized. Also a novel method to calculate the area weights of the Lagrangian markers is given. It is observed that even the best available algorithms for uniform distribution of markers on a sphere resultin a finite error. Using vector spherical harmonics, this error is quantified and reduced to machine precision. A series of simulations of a stationary and moving sphere in a periodic channel at Reynolds number range of 1-100 are presented. Results for a sphere in an ambient shear flow in close proximity of a wall are also shown, where the present non-uniform distribution offers an order of magnitude reduction over uniform distribution of Lagrangian markers. Simulations of a random cluster of 640 monodisperse spherical particles show a 77% reduction in Lagrangian markers with an error of 0.135% in computing the total drag. (C) 2015 Elsevier Inc. All rightsreserved.
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