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An immersed boundary method with direct forcing for the simulation of particulate flows
Open accessAbstract
We present an improved method for computing incompressible viscous flow around suspended rigid particles using a fixed and uniform computational grid. The main idea is to incorporate Peskin's regularized delta function approach [Acta Numerica 11 (2002) 1] into a direct formulation of the fluid-solid interaction force in order to allow for a smooth transfer between Eulerian and Lagrangian representations while at the same time avoiding strong restrictions of the time step. This technique was implemented in a finite-difference and fractional-step context. A variety of two- and three-dimensional simulations are presented, ranging from the flow around a single cylinder to the sedimentation of 1000 spherical particles. The accuracy and efficiency of the current method are clearly demonstrated.
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Citations
Cites
Peskin, C. S. (2002) · Acta Numerica · doi:10.1017/s0962492902000077 · Cited by 4,603
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Tenneti, S., Garg, R., & Subramaniam, S. (2011) · International Journal of Multiphase Flow · doi:10.1016/j.ijmultiphaseflow.2011.05.010 · Cited by 459
An improved immersed boundary method with direct forcing for the simulation of particle laden flows
Kempe, T., & Fröhlich, J. (2012) · Journal of Computational Physics · doi:10.1016/j.jcp.2012.01.021 · Cited by 398
OpenLB—Open source lattice Boltzmann code
Krause, M. J., Kummerländer, A., Avis, S. J., Kusumaatmaja, H., Dapelo, D., Klemens, F., Gaedtke, M., Hafen, N., Mink, A., Trunk, R., et al. (2021) · Computers & Mathematics with Applications · doi:10.1016/j.camwa.2020.04.033 · Cited by 203
An immersed boundary method for fluid-flexible structure interaction
Huang, W.-X., & Sung, H. J. (2009) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2009.03.008 · Cited by 164
Metadata
- Authors
- Uhlmann, M.
- Venue
- Journal of Computational Physics
- Publisher
- Elsevier BV
- Published
- 2005-11
- Volume
- 209
- Issue
- 2
- Pages
- 448-476
- ISSN
- 0021-9991 (ISSN-L)
- OpenAlex
- W2066222663
- Cited by
- 1,694
- References
- 1
- FWCI
- 14.80
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.