This paper proposes an essay concerning the understanding of human behaviours and
crisis management of crowds in extreme situations, such as evacuation through complex …

This paper proposes a systems approach to social sciences based on a mathematical
framework derived from a generalization of the mathematical kinetic theory and of theoretical …

This paper describes an Adaptive Mesh and Algorithm Refinement (AMAR) methodology for
multi-scale simulations of gas flows and the challenges associated with extending this …

A high-performance gas kinetic solver using multi-level parallelization is developed to
enable pore-scale simulations of rarefied flows in porous media. The Bhatnagar–Gross …

A deterministic Boltzmann model equation solver called dugksFoam has been developed in
the framework of the open source CFD toolbox OpenFOAM. The solver adopts the discrete …

In this paper, two GPU parallel algorithms are proposed for the discrete unified gas kinetic
scheme (DUGKS) for simulating low-speed isothermal flows. Algorithm-I uses a two-level …

Numerical simulations of rarefied gas flows are generally made with DSMC methods. Up to
a recent period, deterministic numerical methods based on a discretization of the Boltzmann …

A new class of high-order accuracy numerical methods for the BGK model of the Boltzmann
equation is presented. The schemes are based on a semi-lagrangian formulation of the BGK …

We show how to accelerate the direct solution of the Boltzmann equation using Graphics
Processing Units (GPUs). In order to fully exploit the computational power of the GPU, we …

The paper describes the implementation of conservative projection method of solving the
Boltzmann equation on GPU. The NVIDIA CUDA technology is used as the computational …