1,721,049 research outputs found
Behavioral Human Crowds
No full textThis chapter provides an introduction to the contents of Gibelli (in Crowd Dynamics, Volume 2—Theory, Models, and Safety Problems. Modeling and Simulation in Science, Engineering, and Technology, Birkhäuser, New York, 2020) and a general critical analysis on modeling, simulation, and control of human crowds with emphasis on research perspectives. The contents are organized in three parts: firstly, three key topics are stated which will be probably the focus of future research; Subsequently, the contents of Chaps. “Artificial Neural Networks for the Estimation of Pedestrian Interaction Forces–Mixed Traffic Simulation of Cars and Pedestrians for Transportation Policy Assessment” are summarized by setting them in the context of the aforementioned key research topics; finally, some promising research directions are presented and discussed.Fil: Bellomo, Nicola. Universidad de Granada; EspañaFil: Gibelli, Livio. University of Edinburgh; Reino UnidoFil: Knopoff, Damián Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentin
Response to "Comment on 'Velocity Slip Coefficients based on the Hard-Sphere Boltzmann Equation'" [Phys Fluids 24, 079101 (2012)]
No full textVelocity slip coefficients based on the hard-sphere Boltzmann equation
No full textWe present a kinetic theory derivation of higher-order slip boundary conditions. The situation studied is that of a pressure driven isothermal gas flowing through a plane microchannel. The distribution function is expanded in terms of half-range Hermite polynomials and the system of moment equations in the expansion coefficients is analytically solved. The velocity slip coefficients, as well as their Knudsen-layer corrections, are obtained by evaluating the solution in the near continuum limit. The proposed approach is accurate and easy to implement. The results are presented for the hard-sphere Boltzmann equation and Maxwell's diffuse-specular boundary conditions, but can be extended to arbitrary intermolecular interactions and more general scattering kernels
A Kinetic Model for the Equilibrium and Non-equilibrium Structure of the Vapor-Liquid Interface
No full textThe Enskog-Vlasov kinetic equation for a dense fluid of spherical molecules interacting by Sutherland potential has been solved numerically to study the vapor-liquid equilibrium by a single kinetic equation. The equilibrium structure of the vapor-liquid interface has been obtained at various temperatures. The linear Enskog-Vlasov equation has also been used to describe the motion of a test particle crossing the vapor liquid boundary. The reemission probability of a gas molecule impinging on the liquid surface is obtained as a function of initial molecular velocity and system temperature
Spectral convergence of the Hermite basis function solution of the Vlasov equation: the free-streaming term
No full textA Direct Method for the Boltzmann Equation Based on a Pseudo-Spectral Velocity Space Discretization
Full text linkA deterministic method is proposed for solving the Boltzmann equation. The method employs a Galerkin discretization of the velocity space and adopts, as trial and test functions, the collocation basis functions based on weights and roots of a Gauss-Hermite quadrature. This is defined by means of half- and/or full-range Hermite polynomials depending whether or not the distribution function presents a discontinuity in the velocity space. The resulting semi-discrete Boltzmann equation is in the form of a system of hyperbolic partial differential equations whose solution can be obtained by standard numerical approaches. The spectral rate of convergence of the results in the velocity space is shown by solving the spatially uniform homogeneous relaxation to equilibrium of Maxwell molecules. As an application, the two-dimensional cavity flow of a gas composed of hard-sphere molecules is studied for different Knudsen and Mach numbers. Although computationally demanding, the proposed method turns out to be an effective tool for studying subsonic slightly rarefied gas flows
A Catastrophe-Theoretic Approach to Tricritical Points with Application to Liquid Crystals
No full textShock-induced collapse of surface nanobubbles
No full textThis dataset contains all the initial molecular configurations required to run some of the LAMMPS molecular dynamics simulations of shock induced collapse of nanobubbles that we present in our paper.Dockar, Duncan; Gibelli, Livio; Borg, Matthew. (2021). Shock-induced collapse of surface nanobubbles, [dataset]. University of Edinburgh. School of Engineering. Institute of Multiscale Thermofluids. https://doi.org/10.7488/ds/3096
Forced Oscillation Dynamics of Surface Nanobubbles
No full textThis data set provides the molecular dynamics simulation results and template LAMMPS setup cases for the research we present in the paper accepted by the Journal of Chemical Physics under the same title as this data set.Dockar, Duncan; Gibelli, Livio; Borg, Matthew. (2020). Forced Oscillation Dynamics of Surface Nanobubbles, [dataset]. University of Edinburgh. School of Engineering. Institute of Multiscale Thermofluids. https://doi.org/10.7488/ds/2937
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