We review and analyze the hybrid quantum-classical NMR computing methodology referred to as Type-II quantum computing. We show that all such algorithms considered so far within this paradigm are equivalent to some classical lattice-Boltzmann scheme. We derive a sufficient and necessary constraint on the unitary operator representing the quantum mechanical part of the computation which ensures t...

Current approaches to Direct Numerical Simulation (DNS) are computationally quite expensive for most realistic scientific and engineering applications of Fluid Dynamics such as automobiles or atmospheric flows. The Lattice Boltzmann Method (LBM), with its simplified kinetic descriptions, has emerged as an important tool for simulating hydrodynamics. In a heterogeneous computing environment, it ...

We present a general methodology for constructing lattice Boltzmann models of hydrodynamics with certain desired features of statistical physics and kinetic theory. We show how a methodology of linear programming theory, known as Fourier-Motzkin elimination, provides an important tool for visualizing the state space of lattice Boltzmann algorithms that conserve a given set of moments of the dis...

Abstract The discretized equilibrium distributions of the lattice Boltzmann method are presented by using the coefficients of the Lagrange interpolating polynomials that pass through the points related to discrete velocities and using moments of the Maxwell-Boltzmann distribution. The ranges of flow velocity and temperature providing positive valued distributions vary with regulating discrete v...

Article history: Received 13 January 2016 Accepted 12 September 2016 Available online 17 September 2016

We present a lattice Boltzmann model to describe the spreading of droplets on topologically patterned substrates. We apply it to model superhydrophobic behaviour on surfaces covered by an array of micron-scale posts. We find that the patterning results in a substantial increase in contact angle, from 110 o to 156 o .

M. Mendoza, ∗ B. M. Boghosian, † H. J. Herrmann, ‡ and S. Succi § 1 ETH Zürich, Computational Physics for Engineering Materials, Institute for Building Materials, Schafmattstrasse 6, HIF, CH-8093 Zürich (Switzerland) Bromfield-Pearson, Medford, Massachusetts 02155, Department of Mathematics, Tufts University Istituto per le Applicazioni del Calcolo C.N.R., Via dei Taurini, 19 00185, Rome (Italy...

A simplified one-dimensional (1D) magnetohydrodynamics (MHD) is solved using a lattice Boltzmann and a quantum lattice gas model. It is shown that the magnetic field decreases the strength of the velocity shock fronts, with marked spikes in the magnetic field strength that gradually broaden in time. There is very good agreement between the lattice Boltzmann model—a representation of non-linear ...

To describe the hydrodynamic phenomena prevailing in large industrial scale fluidised beds continuum models are required. The flow in these systems depends strongly on particle-particle interaction and gas-particle interaction. For this reason proper closure relations for these two interactions are vital for reliable predictions on the basis of continuum models. Gas-particle interaction can be ...

Aaltosalmi, Urpo Fluid flow in porous media with the lattice-Boltzmann method Jyväskylä: University of Jyväskylä, 2005, 158 p. (Research report/Department of Physics, University of Jyväskylä, ISSN 0075-465X; 3/2005) ISBN 951-39-2222-7 Diss. The lattice-Boltzmann method has recently become a useful approach for computational fluid dynamics. Simple implementation of boundary conditions together w...