Fluid-structure interaction using lattice Boltzmann method: Moving boundary treatment and discussion of compressible effect

AIAA, 2003. A unified boundary treatment in lattice Boltzmann method. In: APS Division of Fluid Dynamics Meeting APS Division of Fluid Dynamics Meeting Abstracts. Aidun, 2010, Lattice-Boltzmann method for complex flows, Ann. Rev. Fluid Mech., 42, 439, 10.1146/annurev-fluid-121108-145519 Anagnostopoulos, 1992, Response characteristics of a vortex-excited cylinder at low Reynolds numbers, J. Fluids Struct., 6, 39, 10.1016/0889-9746(92)90054-7 Ansumali, 2000, Stabilization of the lattice Boltzmann method by the H theorem: a numerical test, Phys. Rev. E Statis. Phys. Plasmas Fluids Related Interdis. Top., 62.6 Pt A, 7999 Blevins, 1977 Bouzidi, 2001, Momentum transfer of a Boltzmann-lattice fluid with boundaries, Phys. Fluids, 13, 3452, 10.1063/1.1399290 Caiazzo, 2013, Analysis of lattice Boltzmann nodes initialisation in moving boundary problems, Prog. Comput. Fluid Dynam. Int. J., 8, 3 Chen, 2013, Momentum-exchange method in lattice Boltzmann simulations of particle-fluid interactions, Phys. Rev. E Statis. Nonlinear Soft Matter Phys., 88, 013303, 10.1103/PhysRevE.88.013303 Chen, 2014, A comparative study of lattice Boltzmann methods using bounce-back schemes and immersed boundary ones for flow acoustic problems, Int. J. Numer. Methods Fluids, 74, 439, 10.1002/fld.3858 Chen, S.S, Chung, H, 1976. Design guide for Calculating Hydrodynamic Mass. Part 1: Circular Cylindrical Structures. Nasa Sti/recon Technical Report N 77. Chen, 2012, Lattice Boltzmann method for fluid flows, Ann. Rev. Fluid Mech., 30, 329, 10.1146/annurev.fluid.30.1.329 Chen, Shoei Sheng, 1987. Flow-Induced Vibration of Circular Cylindrical Structures 63. Dawson, 1993, Lattice Boltzmann computations for reaction-diffusion equations, J. Chem. Phys., 98, 1514, 10.1063/1.464316 De Rosis, 2014, A partitioned approach for two-dimensional fluid-structure interaction problems by a coupled lattice Boltzmann-finite element method with immersed boundary, J. Fluids Struct., 45, 202, 10.1016/j.jfluidstructs.2013.12.009 De Rosis, 2014, A Comparison between the interpolated bounce-back scheme and the immersed boundary method to treat solid boundary conditions for laminar flows in the lattice Boltzmann framework, J. Sci. Comput., 61, 477, 10.1007/s10915-014-9834-0 Delouei, 2016, Non-Newtonian particulate flow simulation: a direct-forcing immersed boundary–lattice Boltzmann approach, Physica A Statistical Mechanics & Its Applications, 447, 1, 10.1016/j.physa.2015.11.032 Dettmer, 2006, A computational framework for fluid–rigid body interaction: finite element formulation and applications, Comput. Methods Appl. Mech. Eng., 195, 1633, 10.1016/j.cma.2005.05.033 D'Humières, 2002, Multiple–relaxation–time lattice Boltzmann models in three dimensions, Philosophical Transactions, 360, 437, 10.1098/rsta.2001.0955 Filippova, 1998, Grid refinement for lattice-BGK models, J. Comput. Phys., 147, 219, 10.1006/jcph.1998.6089 Frisch, 1986, Lattice-gas automata for the Navier-Stokes equation, Phys. Rev. Lett., 56, 1505, 10.1103/PhysRevLett.56.1505 Ginzburg, 2003, Multireflection boundary conditions for lattice Boltzmann models, Phys. Rev. E Statis. Nonlinear Soft Matter Phys., 68, 066614, 10.1103/PhysRevE.68.066614 Guo, 2002, An extrapolation method for boundary conditions in lattice Boltzmann method, Phys. Fluids, 14, 2007, 10.1063/1.1471914 Hassan, 2009, Numerical estimation of fluidelastic instability in tube arrays, J. Press. Vessel Technol., 132, 269 Hu, 2017, An efficient unified iterative scheme for moving boundaries in lattice Boltzmann method, Comput. Fluids, 144, 34, 10.1016/j.compfluid.2016.12.007 Inamuro, 2012, Lattice Boltzmann methods for moving boundary flows, Fluid Dynam. Res., 44, 24001, 10.1088/0169-5983/44/2/024001 Izquierdo, 2008, Characteristic nonreflecting boundary conditions for open boundaries in lattice Boltzmann methods, Phys. Rev. E Statis. Nonlinear Soft Matter Phys., 78, 046707, 10.1103/PhysRevE.78.046707 Ladd, 1993, Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation, J. Fluid Mech., 271, 285 Lallemand, 2000, Theory of the lattice Boltzmann method: dispersion, dissipation, isotropy, Galilean invariance, and stability, Phys. Rev. E Statis. Phys. Plasmas Fluids Related Interdis. Top., 61.6 Pt A, 6546 Lallemand, 2003, Theory of the lattice Boltzmann method: acoustic and thermal properties in two and three dimensions, Phys. Rev. E Statis. Nonlinear Soft Matter Phys., 68, 036706, 10.1103/PhysRevE.68.036706 Lallemand, 2003 Li, 2004, Lattice Boltzmann simulation on particle suspensions in a two-dimensional symmetric stenotic artery, Phys. Rev. E Statis. Nonlinear Soft Matter Phys., 69, 031919, 10.1103/PhysRevE.69.031919 Li, 2016, An immersed boundary-lattice Boltzmann method for single- and multi-component fluid flows, J. Comput. Phys., 304, 424, 10.1016/j.jcp.2015.10.026 Luo, 2011, Numerics of the lattice Boltzmann method: effects of collision models on the lattice Boltzmann simulations, Phys. Rev. E Statis. Nonlinear Soft Matter Phys., 83, 056710, 10.1103/PhysRevE.83.056710 Martínez, 1994, Lattice Boltzmann magnetohydrodynamics, Physics of Plasmas, 1, 1850, 10.1063/1.870640 Mei, 2006, Consistent initial conditions for lattice Boltzmann simulations, Comput. Fluids, 35, 855, 10.1016/j.compfluid.2005.08.008 Mei, 1999 Mittal, 2010, A finite element study of incompressible flows past oscillating cylinders and aerofoils, Int. J. Numer. Methods Fluids, 15, 1073, 10.1002/fld.1650150911 Peng, 2016, Implementation issues and benchmarking of lattice Boltzmann method for moving rigid particle simulations in a viscous flow, Comput. Math. Appl., 72, 349, 10.1016/j.camwa.2015.08.027 Roshko, 1954 Takashi, 1994, ALE finite element computations of fluid-structure interaction problems, Comput. Methods Appl. Mech. Eng., 112, 291, 10.1016/0045-7825(94)90031-0 Takashi, 1992, An arbitrary Lagrangian-Eulerian finite element method for interaction of fluid and a rigid body, Comput. Methods Appl. Mech. Eng., 95, 115, 10.1016/0045-7825(92)90085-X Tanaka, 2002, Fluidelastic analysis of tube bundle vibration in cross-flow, J. Fluids Struct., 16, 93, 10.1006/jfls.2001.0411 Tao, 2016, An investigation on momentum exchange methods and refilling algorithms for lattice Boltzmann simulation of particulate flows, Comput. Fluids, 133, 1, 10.1016/j.compfluid.2016.04.009 Wang, 2016, On the immersed boundary-lattice Boltzmann simulations of incompressible flows with freely moving objects, Int. J. Numer. Methods Fluids Wen, 2014, Galilean invariant fluid–solid interfacial dynamics in lattice Boltzmann simulations, J. Comput. Phys., 266, 161, 10.1016/j.jcp.2014.02.018 Wu, 2009, Implicit velocity correction-based immersed boundary-lattice Boltzmann method and its applications, J. Comput. Phys., 228, 1963, 10.1016/j.jcp.2008.11.019 Yang, 2009, A smoothing technique for discrete delta functions with application to immersed boundary method in moving boundary simulations, J. Comput. Phys., 228, 7821, 10.1016/j.jcp.2009.07.023