The lattice Boltzmann equations for the linear diffusion modeling in cases of D2Q5, D2Q7 and D2Q9 lattices are considered. Families of the numerical schemes with the dependence on scalar parameter are introduced. The stability analysis of schemes is performed in parameter space. The stability is studied numerically by von Neumann method. Optimal parameter values for the presented families are d...

Lattice materials are extremely efficient in combining high stiffness and strength at low densities. Their architecture is a periodic assembly of bars, which, most cases, all have the same length cross-section. This is, however, suboptimal since level stress not bars. To take these variations into account, we propose to design prismatic lattices with two different bar thicknesses. The ratio thi...

The lattice Boltzmann equation describes the evolution of the velocity distribution function on a lattice in a manner that macroscopic fluid dynamical behavior is recovered. Although the equation is a derivative of lattice gas automata, it may be interpreted as a Lagrangian finite-difference method for the numerical simulation of the discrete-velocity Boltzmann equation that makes use of a BGK ...

We report on recent developments and results from Lattice Gauge Theory. These include determinations of the strong coupling constant αs and the b-quark mass Mb and an update on the Kaon B parameter BK . Lattice results for heavy meson decay constants and semileptonic B and D meson decay form factors are reviewed. The first attempts to study the Isgur-Wise function and the radiative Penguin deca...

We present results from an extensive parallel search for Korobov lattice rules using the LLL-spectral test with a new normalization strategy. The resulting lattice parameters are distributed via a web-server [9] which provides general information on the spectral test, a database for lattice rule parameters, software for spectral test calculations and related applications, efficient on-line para...