### Abstract

Please note there is a typo in the paper on page B419 for the CPU time used for the second case, the correct CPU time for 12s of simulation time should be 1200s with Δx = Δz = H/60.

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This paper details a novel numerical approach for solution of the Navier–Stokes

equations for free surface flows involving two-way fluid-solid interaction in arbitrary domains. The approach, which is hybrid Eulerian Lagrangian in nature, is based on the full particle particle-in-cell (PIC) method applied to incompressible flows. An extension of the distributed Lagrange multiplier (DLM) technique proposed by Patankar et al. [Int. J. Multiphase Flow, 26 (2000), pp. 1509–1524] is employed for the two-way fluid-solid coupling. The resulting code is called PICIN. Solid bodies can be mobile, either having prescribed motion or moving as a consequence of interaction with the fluid. Numerical results for three distinct example applications of the model in two spatial dimensions are given. A comparison of PICIN predictions with state-of-the-art numerical results of other researchers is made for each of the test cases presented.

.................................................................................................................................................................

This paper details a novel numerical approach for solution of the Navier–Stokes

equations for free surface flows involving two-way fluid-solid interaction in arbitrary domains. The approach, which is hybrid Eulerian Lagrangian in nature, is based on the full particle particle-in-cell (PIC) method applied to incompressible flows. An extension of the distributed Lagrange multiplier (DLM) technique proposed by Patankar et al. [Int. J. Multiphase Flow, 26 (2000), pp. 1509–1524] is employed for the two-way fluid-solid coupling. The resulting code is called PICIN. Solid bodies can be mobile, either having prescribed motion or moving as a consequence of interaction with the fluid. Numerical results for three distinct example applications of the model in two spatial dimensions are given. A comparison of PICIN predictions with state-of-the-art numerical results of other researchers is made for each of the test cases presented.

Original language | English |
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Pages (from-to) | B403-B424 |

Number of pages | 22 |

Journal | SIAM Journal on Scientific Computing |

Volume | 37 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2 Jun 2015 |

### Keywords

- computational fluid dynamics
- Navier–Stokes
- particle-in-cell
- SPH
- VOF
- level set
- incompressible fluid
- fluid-structure interaction

## Fingerprint Dive into the research topics of 'PICIN: a particle-in-cell solver for incompressible free surface flows with two-way fluid-solid coupling'. Together they form a unique fingerprint.

## Profiles

### Jun Zang

- Department of Architecture & Civil Engineering - Reader
- Research Unit for Water, Environment and Infrastructure Resilience (WEIR)
- Water Innovation and Research Centre (WIRC)
- EPSRC Centre for Doctoral Training in Statistical Applied Mathematics (SAMBa)
- Centre for Infrastructure, Geotechnical and Water Engineering Research (IGWE)

Person: Research & Teaching

## Cite this

Kelly, D. M., Chen, Q., & Zang, J. (2015). PICIN: a particle-in-cell solver for incompressible free surface flows with two-way fluid-solid coupling.

*SIAM Journal on Scientific Computing*,*37*(3), B403-B424. https://doi.org/10.1137/140976911