PICIN swMATH ID: 12369 Software Authors: Kelly, D.M.; Chen, Q.; Zang, J. Description: PICIN: a particle-in-cell solver for incompressible free surface flows with two-way fluid-solid coupling. 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. Homepage: http://epubs.siam.org/doi/abs/10.1137/140976911 Keywords: computational fluid dynamics; Navier-Stokes; particle-in-cell; SPH; VOF; level set; incompressible fluid; fluid-structure interaction Related Software: FEniCS; PETSc; pybind11; ParMETIS; PT-Scotch; Python; SuperLU; QuadProg++; NumPy; FIAT; DOLFIN; LEoPart; DualSPHysics; ViennaCL; OpenFOAM; CUDA Cited in: 6 Publications all top 5 Cited by 16 Authors 2 Maljaars, Jakob M. 1 Chow, Alex D. 1 Hwang, Yao-Hsin 1 Kelly, David Matthew 1 Labeur, Robert Jan 1 Lind, Steven J. 1 Möller, Matthias 1 Ng, Khai Ching 1 Qian, Zhihao 1 Richardson, Chris N. 1 Rogers, Benedict D. 1 Sheu, Tony Wen-Hann 1 Sime, Nathan 1 Stansby, Peter K. 1 Wang, Lihua 1 Zhang, Chuanzeng Cited in 5 Serials 2 Computer Methods in Applied Mechanics and Engineering 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Journal of Computational Physics 1 SIAM Journal on Scientific Computing Cited in 4 Fields 6 Fluid mechanics (76-XX) 5 Numerical analysis (65-XX) 1 Partial differential equations (35-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year