ANALYSIS OF TRANSIENT BLOOD FLOW PASSING THROUGH MECHANICAL HEART VALVES BY LATTICE BOLTZMANN METHODS

[1]  Pierre M. Adler,et al.  Surface tension models with different viscosities , 1995 .

[2]  J. Womersley.  Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known , 1955, The Journal of physiology.

[3]  U. Frisch,et al.  Lattice gas models for 3D hydrodynamics , 1986 .

[4]  H T Low,et al.  Steady flow dynamics of prosthetic aortic heart valves: a comparative evaluation with PIV techniques. , 1998, Journal of biomechanics.

[5]  L. Luo,et al.  Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation , 1997 .

[6]  Dominique d'Humières,et al.  Multireflection boundary conditions for lattice Boltzmann models. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  R. Benzi,et al.  Lattice Gas Dynamics with Enhanced Collisions , 1989 .

[8]  D. d'Humières,et al.  Lattice Boltzmann equation on a two-dimensional rectangular grid , 2001 .

[9]  P. Adler,et al.  Boundary flow condition analysis for the three-dimensional lattice Boltzmann model , 1994 .

[10]  P. Bhatnagar,et al.  A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems , 1954 .

[11]  Dominique d'Humières,et al.  A lattice Boltzmann model for Jeffreys viscoelastic fluid , 1998 .

[12]  A. Ladd.  Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation , 1993, Journal of Fluid Mechanics.

[13]  Luo Li-Shi,et al.  Theory of the lattice Boltzmann method: Lattice Boltzmann models for non-ideal gases , 2001 .

[14]  T. Wisenbaugh,et al.  Obstruction of mechanical heart valve prostheses: clinical aspects and surgical management. , 1991, Journal of the American College of Cardiology.

[15]  T. Abe.  Derivation of the Lattice Boltzmann Method by Means of the Discrete Ordinate Method for the Boltzmann Equation , 1997 .

[16]  P. Lallemand,et al.  Theory of the lattice boltzmann method: dispersion, dissipation, isotropy, galilean invariance, and stability , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[17]  T. Daniel,et al.  Mechanical determinants of nectar-feeding energetics in butterflies: muscle mechanics, feeding geometry, and functional equivalence , 1989, Oecologia.

[18]  M. Junk.  On the Construction of Discrete Equilibrium Distributions for Kinetic Schemes , 1999 .

[19]  Y. Fung,et al.  Mechanics of the Circulation , 2011, Developments in Cardiovascular Medicine.

[20]  J. Jiménez,et al.  Boltzmann Approach to Lattice Gas Simulations , 1989 .

[21]  D. A. Mcdonald,et al.  The relation of pulsatile pressure to flow in arteries , 1955, The Journal of physiology.

[22]  Li-Shi Luo,et al.  Unified Theory of Lattice Boltzmann Models for Nonideal Gases , 1998 .

[23]  I. Krukenkamp,et al.  Free emboli formation in the wake of bi-leaflet mechanical heart valves and the effects of implantation techniques. , 2002, Journal of biomechanics.

[24]  Bowen,et al.  ENGINEERING ASPECTS OF THE WIND , 1981 .

[25]  Alejandro L. Garcia,et al.  Stabilization of thermal lattice Boltzmann models , 1995 .

[26]  Zanetti,et al.  Use of the Boltzmann equation to simulate lattice gas automata. , 1988, Physical review letters.

[27]  P. Lallemand,et al.  Lattice Boltzmann method for moving boundaries , 2003 .