Particles for Kinetic Problems: From Models to Algorithms

Dear Colleagues,

The majority of classical and conventional flow models rely on the small departure of the physical system from the thermodynamic equilibrium. This assumption, which manifests itself in continuum models such as the Euler and Navier-Stokes equations, remains unjustifiable once the system is far from equilibrium. For particle systems, a lack of sufficient interactions often underpins the continuum hypothesis. However, kinetic models such as those described by Botlzmann, Vlasov, Fokker-Planck and Enskog equations go beyond the continuum approach at the expense of additional dimensions. Yet as the solution of such equations lead to stiff computations for many relevant problems, their potential and universal accuracy could not be fully realised in practical settings.

Particle-based methods provide an attractive angle to circumvent the curse of dimensionality of the kinetic systems without sacrificing their physical accuracy. The purpose of this Special Issue is to provide a suitable forum for studies addressing modelling and numerical aspects of particle methods in a wide field of related topics such as rarefied gas dynamics, meso-scale models, and plasma physics. A range of techniques and methods are welcome, including Direct Simulation Monte-Carlo, Fokker-Planck techniques, hybrid methods, Langevin dynamics, and more.

Dr. Hossein Gorji
Dr. Marcel Pfeiffer
Guest Editors

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• DSMC
• PIC
• SPH
• Langevin dynamics
• kinetic models
• hybrid & meso-scale methods
• particle methods
• non-equilibrium effects