In this paper, we use a lattice Boltzmann model (LBM) for simulation of rarefied gas flows in microchannels at high and moderate Knudsen numbers. The lattice Boltzmann method uses D2Q9 lattice structure and BGK collision operator with single relaxation time. The solid wall boundary conditions used in this paper are based on the idea of bounceback of the nonequilibrium part of particle distribut...

Background: This study was aimed to evaluate the effects of physical exercise on bone mineral density (BMD), lean body mass (LBM) and bone biomarkers in children with acute lymphoblastic leukemia on chemotherapy. Methods: forty-six leukemic children were randomly assigned to two groups; exercise group (E) undergoing supervised mixed exercise program consisting of aerobic, resistance and flexib...

In incisive and well-informed papers Herrigel and Whitford and Zeitlin defend the pragmatic collaborations/learning-by-monitoring (PC or LBM) view of customer– supplier relations against rival interpretations, but point to defects in the argument that may be related to fundamental limitations in the whole approach. Herrigel argues that whereas LBM suggests that customer–supplier relations will ...

In this paper, we consider the implementation of a thermal flow solver based on the lattice Boltzmann method (LBM) for graphics processing units (GPU). We first describe the hybrid thermal LBM model implemented, and give a concise review of the CUDA technology. The specific issues that arise with LBM on GPUs are outlined. We propose an approach for efficient handling of the thermal part. Perfor...

The lattice Boltzmann method (LBM) for computational fluid dynamics benefits from a simple, explicit, completely local computational algorithm making it highly efficient. We extend LBM to recover hydrodynamics of multi-component immiscible fluids, while retaining a completely local, explicit and simple algorithm. Hence, no computationally expensive lattice gradients, interaction potentials or c...

By realizing the insufficient degree of Galilean invariance of the traditional multiple-relaxation-time collision operators, Geier [Phys. Rev. E 73, 066705 (2006)] proposed to relax differently the moments shifted by the macroscopic velocity, leading to the so-called cascaded lattice Boltzmann method (LBM). This paper points out that (a) the cascaded LBM essentially consists in adopting a gener...

Abstract—A new algorithm based on the lattice Boltzmann method (LBM) is proposed as a potential solver for one-dimensional heat and mass transfer for isothermal carbonization of wood particles. To check the validity of this algorithm, the LBM results have been compared with the published data and a good agreement is obtained. Then, the model is used to study the effect of reactor temperature an...

In the following, we will present an algorithm to perform adaptive free surface simulations with the lattice Boltzmann method (LBM) on machines with shared and distributed memory architectures. Performance results for different test cases and architectures will be given. The algorithm for parallelization yields a high performance, and can be combined with the adaptive LBM simulations. Moreover,...

We develop a numerical framework for the quantum analogue of the “classical” lattice Boltzmann method (LBM), with the Maxwell-Boltzmann distribution replaced by the Fermi-Dirac function. To accommodate the spin density matrix, the distribution functions become 2× 2-matrix valued. We show that the efficient, commonly used BGK approximation of the collision operator is valid in the present settin...