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A Review on a General Multi-Species BGK Model: Modelling, Theory and Numerics
In this article we focus on kinetic equations for gas mixtures since in applications one often has to deal with mixtures instead of a single gas. In...
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Kinetic BGK Model for a Crowd: Crowd Characterized by a State of Equilibrium
This article focuses on dynamic description of the collective pedestrian motion based on the kinetic model of Bhatnagar-Gross-Krook. The proposed...
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Hydrodynamic Flows in Heated Pipes with Boundary Layer Computed Using the BGK Model
AbstractThe model problem of heat transfer from a nonuniformly heated pipe wall to the basic flow is considered, or, in other words, the initial...
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Mass Flux and Gas Pressure Distribution in a Long Concentric Annular Channel in the Case of Incomplete Accommodation of Gas Molecules
AbstractThe solution of the linearized problem of isothermal rarefied gas flow in a long concentric annular channel is found depending on the...
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Inverse Magnus Effect in a Rarefied Gas
The transverse force exerted on a rotating sphere immersed in an otherwise uniform flow of a rarefied gas is investigated based on the...
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Evolution of the Shape of a Gas Cloud during Pulsed Laser Evaporation into Vacuum: Direct Simulation Monte Carlo and the Solution of a Model Equation
AbstractThe dynamics of gas expansion during nanosecond laser evaporation into vacuum is studied. The problem is considered in an axisymmetric...
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Hyperbolic Lattice Boltzmann Method and Discrete Boltzmann Method for Solid–Liquid Phase Change Problem
The lattice Boltzmann method (LBM) is a potential numerical tool for solving challenging fluid problems. The Bhatnagar Gross Krook (BGK)...
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Constructions of Simple Kinetic Equations for a Dense Gas
Constructions of simple kinetic equations for a dense gas are presented, with a special emphasis on a couple of modelling based on the...
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Numerical Simulation of the Two-Dimensional Heat Diffusion in the Cold Substrate and Performance Analysis of a Thermoelectric Air Cooler Using The Lattice Boltzmann Method
This article presents numerical simulations of the two-dimensional temperature distribution in the cold substrate and a performance analysis of a...
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A Kinetic BGK Relaxation Model for a Reacting Mixture of Polyatomic Gases
We present a kinetic model of BGK-type for a mixture of four polyatomic gases, each one having its own number of internal energy levels, subject also...
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Exploiting Hybrid Parallelism in the LBM Implementation Musubi on Hawk
In this contribution we look into the efficiency and scalability of our Lattice Boltzmann implementation Musubi when using OpenMP threads within an...
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Phase Transitions and Macroscopic Limits in a BGK Model of Body-Attitude Coordination
In this article we investigate the phase transition phenomena that occur in a model of self-organisation through body-attitude coordination. Here,...
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Positivity-Preserving Lax–Wendroff Discontinuous Galerkin Schemes for Quadrature-Based Moment-Closure Approximations of Kinetic Models
The quadrature-based method of moments (QMOM) offers a promising class of approximation techniques for reducing kinetic equations to fluid equations...
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A Collocation Method and its Application for Solving the Linearized Holway Equation
AbstractA method is proposed to solve the linearized ellipsoidal-statistical Holway equation in the classical problem of a rarefied gas flow between...
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Advances in Computational Process Engineering using Lattice Boltzmann Methods on High Performance Computers
The present annual report documents the parallelization benefits of Lattice-Boltzmann particulate multiphase flow simulations realized in the open...
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A Modified Secant Method for Entropic Lattice Boltzmann Equations
AbstractStability of lattice Boltzmann equations is governed by a parameter that is responsible for the relaxation time of the nonequilibrium system...
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Modeling of a Single Bubble Dynamics at Boiling by Lattice Boltzmann Method
AbstractАбстракт: To study the process of boiling on a solid heater surface, a hybrid model based on lattice Boltzmann method and heat transfer...
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A Method for Simulating the Dynamics of Rarefied Gas Based on Lattice Boltzmann Equations and the BGK Equation
AbstractA hybrid method for solving boundary value problems for rarefied gas using the Bhatnagar–Gross–Krook (BGK) model and the lattice Boltzmann...
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A rescaling algorithm for multi-relaxation-time lattice Boltzmann method towards turbulent flows with complex configurations
Understanding and modeling flows over porous layers are of great industrial significance. To accurately solve the turbulent multi-scale flows on...
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Nonclassical Heat Transfer in a Microchannel and a Problem for Lattice Boltzmann Equations
AbstractA one-dimensional problem of heat transfer in a bounded domain (microchannel) filled with rarefied gas is considered. Two molecular beams...
