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

David M Kelly, Qiang Chen, Jun Zang

Research output: Contribution to journalArticle

  • 11 Citations

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.
.................................................................................................................................................................
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.
LanguageEnglish
PagesB403-B424
Number of pages22
JournalSIAM Journal on Scientific Computing
Volume37
Issue number3
DOIs
StatusPublished - 2 Jun 2015

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Incompressible Surface
Free Surface Flow
CPU Time
Incompressible Flow
Fluid-solid Interaction
Fluid
Numerical Results
Program processors
Fluids
Multiphase Flow
Cell
Lagrange multipliers
Navier-Stokes Equations
Incompressible flow
Multiphase flow
Distinct
Navier Stokes equations
Motion
Prediction
Arbitrary

Keywords

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

Cite this

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

In: SIAM Journal on Scientific Computing, Vol. 37, No. 3, 02.06.2015, p. B403-B424.

Research output: Contribution to journalArticle

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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..................................................................................................................................................................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.",
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