An extended numerical scheme for the simulation of fluid flows by means of a lattice Boltzmann (LB) method is introduced. It is conceptually related to the lattice BGK scheme, which it enhances by a regularization step. The result is a numerical scheme that is both more accurate and more stable...

We discuss the cellular automata approach and its extensions, the lattice Boltzmann and multiparticle methods. The potential of these techniques is demonstrated in the case of modeling complex systems. In particular, we consider applications taken from various fields of physics, such as...

We discuss a cellular automata model to study the competition between an emergent better fitted species against an existing majority species. The model implements local fights among small group of individuals and a synchronous random walk on a 2D lattice. The faith of the system, i.e., the...

We present a qualitative analysis of the flow pattern in cerebral aneurysms and the effect on the velocity reduction of stent implantation. We use the Lattice Boltzmann (LB) method, which implements a mesoscopic dynamics of the interactions between fictitious particles. LB provides an efficient...

We describe the clotting process in stented aneurysms with a lattice Boltzmann (LB) model. In addition to model the haemodynamic properties of blood flow, our model includes the transport of idealized red blood cells and platelets as well as an aggregation mechanism at low shear rate. This model...

A direct numerical simulation of a turbulent flow field with a lattice BGK method is presented. A spatial coarse graining of the numerical results is compared with the expected LBGK dynamics for a flow field on a reduced lattice size. This comparison permits to exhibit subgrid properties of the...