Direct simulation of sound and underwater sound generated by a water drop hitting a water surface using the finite difference lattice Boltzmann method

The sound and underwater sound emitted from a water drop colliding with a water surface are simulated by a new model of the finite difference lattice Boltzmann method. The two-particle immiscible fluid model is modified to simulate sound in the gas phase and underwater simultaneously. In the very early stage after the collision, sounds propagating into the gas and liquid phases are successively detected, and the effects of drop shape and gas bubbles are also observed.

[1]  T. Yabe,et al.  The constrained interpolation profile method for multiphase analysis , 2001 .

[2]  G. Barrios,et al.  Dynamics of an acoustically levitated particle using the lattice Boltzmann method , 2008, Journal of Fluid Mechanics.

[3]  Gary P Scavone,et al.  Numerical simulations of fluid-structure interactions in single-reed mouthpieces. , 2007, The Journal of the Acoustical Society of America.

[4]  Michihisa Tsutahara,et al.  Direct Simulation of Aeolian Tone by the Finite Difference Lattice Boltzmann Method , 2003 .

[5]  F. Harlow,et al.  Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface , 1965 .

[6]  A. Wilde Calculation of sound generation and radiation from instationary flows , 2006 .

[7]  J. Brackbill,et al.  A continuum method for modeling surface tension , 1992 .

[8]  Raoyang Zhang,et al.  A Lattice Boltzmann Scheme for Incompressible Multiphase Flow and Its Application in Simulation of Rayleigh-Taylor Instability , 1998 .

[9]  Sauro Succi,et al.  Recent Advances in Lattice Boltzmann Computing , 1995 .

[10]  H. Pumphrey,et al.  Underwater sound produced by individual drop impacts and rainfall , 1989 .

[11]  Bastien Chopard,et al.  Cellular Automata Modeling of Physical Systems: Index , 1998 .

[12]  Hasan N. Oguz,et al.  The Impact of Drops on Liquid Surfaces and the Underwater Noise of Rain , 1993 .

[13]  J. Boon The Lattice Boltzmann Equation for Fluid Dynamics and Beyond , 2003 .

[14]  D. Rothman,et al.  Static contact angle in lattice Boltzmann models of immiscible fluids. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  D. Wolf-Gladrow Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction , 2000 .

[16]  Yeomans,et al.  Lattice Boltzmann simulation of nonideal fluids. , 1995, Physical review letters.

[17]  Shiyi Chen,et al.  LATTICE BOLTZMANN METHOD FOR FLUID FLOWS , 2001 .

[18]  M. Tsutahara,et al.  New model and scheme for compressible fluids of the finite difference lattice Boltzmann method and direct simulations of aerodynamic sound , 2008 .

[19]  I. Karlin,et al.  Lattice Boltzmann method for simulation of compressible flows on standard lattices. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  T. Inamuro,et al.  A lattice Boltzmann method for incompressible two-phase flows with large density differences , 2004 .

[21]  C. W. Hirt,et al.  Volume of fluid (VOF) method for the dynamics of free boundaries , 1981 .

[22]  Shan,et al.  Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[23]  D. Rothman,et al.  Diffusion properties of gradient-based lattice Boltzmann models of immiscible fluids. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[24]  Peter Smereka,et al.  Axisymmetric free boundary problems , 1997, Journal of Fluid Mechanics.

[25]  James M. Keller,et al.  Lattice-Gas Cellular Automata: Inviscid two-dimensional lattice-gas hydrodynamics , 1997 .

[26]  S. Zaleski,et al.  Lattice Boltzmann model of immiscible fluids. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[27]  J. Buick,et al.  Acoustic lattice Boltzmann model for immiscible binary fluids with a species-dependent impedance. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.