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We present an overview of the lattice Boltzmann method (LBM), a parallel and efficient algorithm for simulating single-phase and multiphase fluid flows and for incorporating additional physical complexities. The LBM is especially useful for modeling complicated boundary conditions and multiphase interfaces. Recent extensions of this method are described,(More)
A detailed analysis is presented to demonstrate the capabilities of the lattice Boltzmann method. Thorough comparisons with other numerical solutions for the two-dimensional, driven cavity flow show that the lattice Boltzmann method gives accurate results over a wide range of Reynolds numbers. Studies of errors and convergence rates are carried out.(More)
Direct analysis of particulate suspensions with inertia using the discrete Boltzmann equation, The multiphase particle-in-cell (MP-PIC) method for dense particulate flows. Int. Derivation of constitutive equations for interfacial force and Reynolds stress for a suspension of spheres using ensemble averaging. Chem Eng. R. A. Bagnold. Fluid forces on a body(More)
The very small scales of isotropic, Navier-Stokes turbulence at Reynolds number R λ ≈ 15 are studied by high-resolution direct numerical simulation (DNS) and by integration of the direct-interaction (DIA) equations. The DNS follows the tail of the energy spectrum over more than thirty decades of magnitude. The energy spectrum in the far-dissipation range 5k(More)
High resolution, direct numerical simulations of the three-dimensional incompressible Navier-Stokes equations are carried out to study the energy spectrum in the dissipation range. An energy spectrum of the form A(k=k d) exp[k=k d ] is conrmed. The possible values of the parameters and , a s w ell as their dependence on Reynolds numbers and length scales,(More)
(Abstract • j Turbulent combustion is ubiquitously used in practical combustion devices. However, even chemically non-reacting turbulent flows are complex phenomena, and chemical reactions make the problem even more complicated. Due to the limitation of the computational costs, conventional numerical methods are impractical in carrying out direct 3D(More)
When dealing with macroscopic objects one usually observes quasiclassical phenomena, which can be described in terms of quasiclassical (or classical) equations of motion. Recent development of the theory of quantum computation is based on implementation of the entangled states which do not have a classical analogy. Using a simple example of a paramagnetic(More)