Martin Rheinländer

Learn More
In this course we focus on the analysis of lattice Boltzmann schemes by asymptotic methods. Since asymptotic analysis lives mainly by concrete case studies rather than by collections of abstract recipes, we propose a simple lattice Boltzmann algorithm, which is used to develop and to illustrate the ideas simultaneously. In particular, the goal of our(More)
Lattice-Boltzmann algorithms represent a quite novel class of numerical schemes, which are used to solve evolutionary partial differential equations (PDE). In contrast to finite difference and finite element schemes, lattice-Boltzmann methods rely on a mesoscopic (kinetic) approach. The essential idea consists in setting up an artificial, grid-based(More)
  • 1