### Abstract

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

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 |
---|---|

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 |

### Fingerprint

### Keywords

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

### Cite this

*SIAM Journal on Scientific Computing*,

*37*(3), B403-B424. https://doi.org/10.1137/140976911

**PICIN : a particle-in-cell solver for incompressible free surface flows with two-way fluid-solid coupling.** / Kelly, David M; Chen, Qiang; Zang, Jun.

Research output: Contribution to journal › Article

*SIAM Journal on Scientific Computing*, vol. 37, no. 3, pp. B403-B424. https://doi.org/10.1137/140976911

}

TY - JOUR

T1 - PICIN

T2 - a particle-in-cell solver for incompressible free surface flows with two-way fluid-solid coupling

AU - Kelly, David M

AU - Chen, Qiang

AU - Zang, Jun

PY - 2015/6/2

Y1 - 2015/6/2

N2 - 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..................................................................................................................................................................This paper details a novel numerical approach for solution of the Navier–Stokesequations 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.

AB - 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..................................................................................................................................................................This paper details a novel numerical approach for solution of the Navier–Stokesequations 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.

KW - computational fluid dynamics

KW - Navier–Stokes

KW - particle-in-cell

KW - SPH

KW - VOF

KW - level set

KW - incompressible fluid

KW - fluid-structure interaction

UR - http://dx.doi.org/10.1137/140976911

U2 - 10.1137/140976911

DO - 10.1137/140976911

M3 - Article

VL - 37

SP - B403-B424

JO - SIAM Journal on Scientific Computing

JF - SIAM Journal on Scientific Computing

SN - 1064-8275

IS - 3

ER -