MS7-04 - Lattice-Boltzmann and kinetic schemes – theory and applications

P. Boivin (Aix Marseille Univ, CNRS, Centrale Marseille,) *, K. Luo (Department of Mechanical Engineering, University College London) , M. Krafczyk (TU Braunschweig, Inst. for Computational Modeling in Civ. Eng.) , M. Geier (TU Braunschweig, Inst. for Computational Modeling in Civ. Eng.)

Lattice-Boltzmann (LB) methods and kinetic schemes are clearly identified as promising alternatives to classical Navier-Stokes solvers, mainly due to (i) their suitability for high performance computing, (ii) their built in conservation properties for mass and momentum and (iii) their low dissipation properties in transporting acoustic waves. In particular, the automotive industry is now heavily relying on such methods for aeroacoustics and external aerodynamics studies, where the flow satisfies the low-mach number approximation. Even though such methods are now well established for the simulation of automotive related flows, theoretical work is still necessary to improve numerical stability and accuracy, especially in high shear, turbulent flows. For LB-related methods, this translates to an abundant literature being available on the stability of collision kernels, including, e.g. entropic, regularised, cascaded/cumulant or multiple relaxation time methods as well as on unravelling the link between the numerical scheme and the corresponding macroscopic target equations. On the other hand, and owing to the success of the LB and kinetic schemes for the simulation of low-mach number flows, a large number of studies is directed to extending the applicability to new physics including e.g. aerothermal, high speed, reacting, porous, urban or atmospheric flows. Yet, each of these applications requires tackling a specific limitation of classical LB or kinetic schemes. For instance and concerning LB schemes, modelling of high-speed flows requires lifting the low-Mach number limit, while for multiphase flows, a careful consideration of the contact interface is required when high-density ratios are encountered. Several applications, such as detonations, couple multiple difficulties at once (discontinuities, high-Mach, and reactive), and require the development of mutually compatible solutions to the different problems. The aim of this mini-symposium is to gather the leading players on the topic to exchange new ideas. The list of participating research groups include those of R. Abgrall, I. Karlin, M. Krafczyk, J. Latt, K. H Luo, L-S Luo, P. Sagaut, D. Thévenin. Should the number of abstract be sufficient, a session will be held oriented on the numerical and theoretical aspects, and a second one on the multi-physics applications (e.g. urban flows, multiphase flows, reactive flows, high speed flows,..).