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 twoway fluidsolid interaction in arbitrary domains. The approach, which is hybrid Eulerian Lagrangian in nature, is based on the full particle particleincell (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 twoway fluidsolid 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 stateoftheart numerical results of other researchers is made for each of the test cases presented.
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This paper details a novel numerical approach for solution of the Navier–Stokes
equations for free surface flows involving twoway fluidsolid interaction in arbitrary domains. The approach, which is hybrid Eulerian Lagrangian in nature, is based on the full particle particleincell (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 twoway fluidsolid 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 stateoftheart numerical results of other researchers is made for each of the test cases presented.
Original language  English 

Pages (fromto)  B403B424 
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
 particleincell
 SPH
 VOF
 level set
 incompressible fluid
 fluidstructure interaction
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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