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A kinetic model for granular mixtures is considered to study three different non-equilibrium situations. The model is based on the equivalence between a gas of elastic hard spheres subjected to a drag force proportional to the particle…

Soft Condensed Matter · Physics 2025-02-27 Pablo Avilés , David González Méndez , Vicente Garzó

Microfluidics provides a powerful and versatile technology to accurately control spatial and temporal conditions for cell culturing and can therefore be used to study cellular responses to gradients. Here we use Lattice Boltzmann methods…

Fluid Dynamics · Physics 2013-08-12 Simon Tanaka , Dagmar Iber

Rooted from the gas kinetics, the lattice Boltzmann method is a powerful tool in modeling hydrodynamics. In the past decade, it has been extended to simulate the rarefied gas flow beyond the Navier-Stokes level, either by using the…

Fluid Dynamics · Physics 2017-08-30 Scott Lindsay , Wei Su , Haihu Liu , Lei Wu

We present a new numerical algorithm based on a relative energy scaling for collisional kinetic equations allowing to study numerically their long time behavior, without the usual problems related to the change of scales in velocity…

Analysis of PDEs · Mathematics 2015-06-04 Francis Filbet , Thomas Rey

In this work we explore the possibility of learning from data collision operators for the Lattice Boltzmann Method using a deep learning approach. We compare a hierarchy of designs of the neural network (NN) collision operator and evaluate…

Computational Physics · Physics 2023-03-09 Alessandro Corbetta , Alessandro Gabbana , Vitaliy Gyrya , Daniel Livescu , Joost Prins , Federico Toschi

In this review, a theoretical description is provided for the solid (granular) phase of the gas-solid flows that are the focus of this book. Emphasis is placed on the fundamental concepts involved in deriving a macroscopic hydrodynamic…

Statistical Mechanics · Physics 2009-10-02 James W. Dufty , Aparna Baskaran

In this paper, we develop a multiscale hierarchy framework for objective molecular dynamics (OMD), a reduced order molecular dynamics with a certain symmetry, that connects it to the statistical kinetic equation, and the macroscopic…

Analysis of PDEs · Mathematics 2024-09-24 Richard D. James , Kunlun Qi , Li Wang

Numerical simulations of geophysical and atmospheric flows have to rely on parameterizations of subgrid scale processes due to their limited spatial resolution. Despite substantial progress in developing parameterization (or closure) models…

Fluid Dynamics · Physics 2022-12-14 Suraj Pawar , Omer San , Adil Rasheed , Prakash Vedula

Data-driven turbulence modeling is a newly emerged research area in thermal hydraulics simulation of nuclear power plant (NPP). The most common CFD method used in NPP thermal hydraulics simulation is Reynolds-averaged Navier-Stokes (RANS)…

Fluid Dynamics · Physics 2020-05-04 Yangmo Zhu , Nam Dinh

Filtering the passive scalar transport equation in the large-eddy simulation (LES) of turbulent transport gives rise to the closure term corresponding to the unresolved scalar flux. Understanding and respecting the statistical features of…

Fluid Dynamics · Physics 2021-07-12 Ali Akhavan-Safaei , Mehdi Samiee , Mohsen Zayernouri

In microscopic mechanical systems interactions between elastic structures are often mediated by the hydrodynamics of a solvent fluid. At microscopic scales the elastic structures are also subject to thermal fluctuations. Stochastic…

Soft Condensed Matter · Physics 2023-02-28 Paul J. Atzberger

Simulating fluid-granular flows is crucial for understanding natural disasters, industrial processes, and visually realistic phenomena in computer graphics. These systems are challenging to simulate because of the strong nonlinear coupling…

Graphics · Computer Science 2026-03-17 Xingqiao Li , Kui Wu , Haozhe Su , Tianhong Gao , Mengyu Chu , Chenfanfu Jiang , Wei Li , Baoquan Chen

Transport phenomena still stand as one of the most challenging problems in computational physics. By exploiting the analogies between Dirac and lattice Boltzmann equations, we develop a quantum simulator based on pseudospin-boson quantum…

Quantum Physics · Physics 2015-08-20 A. Mezzacapo , M. Sanz , L. Lamata , I. L. Egusquiza , S. Succi , E. Solano

In this contribution a numerical study of a turbulent jet flow is presented. The simulation results of two different variants of the Lattice Boltzmann method (LBM) are compared. The first is the well-established D3Q19 MRT model extended by…

Fluid Dynamics · Physics 2012-06-05 S. Geller , S. Uphoff , M. Krafczyk

To develop a more convenient subgrid-scale (SGS) model that performs well even in coarse grid cases, we investigate the transport and modeling of SGS turbulent kinetic energy (hereafter SGS energy) in turbulent channel flows based on the…

Fluid Dynamics · Physics 2024-06-12 Kazuhiro Inagaki , Hiromichi Kobayashi

The lattice Boltzmann method has become a standard for efficiently solving problems in fluid dynamics. While unstructured grids allow for a more efficient geometrical representation of complex boundaries, the lattice Boltzmann methods is…

The lattice Boltzmann method can be used to simulate flow through porous media with full geometrical resolution. With such a direct numerical simulation, it becomes possible to study fundamental effects which are difficult to assess either…

Computational Engineering, Finance, and Science · Computer Science 2015-08-13 Ehsan Fattahia , Christian Waluga , Barbara Wohlmuth , Ulrich Rüde , Michael Manhart , Rainer Helmig

Estimating fluid dynamics is classically done through the simulation and integration of numerical models solving the Navier-Stokes equations, which is computationally complex and time-consuming even on high-end hardware. This is a…

Machine Learning · Computer Science 2023-03-20 Steeven Janny , Aurélien Béneteau , Madiha Nadri , Julie Digne , Nicolas Thome , Christian Wolf

In this work, we detail the GPU-porting of an in-house pseudo-spectral solver tailored towards large-scale simulations of interface-resolved simulation of drop- and bubble-laden turbulent flows. The code relies on direct numerical…

Fluid Dynamics · Physics 2024-06-04 Alessio Roccon

Recently, a new connection between density functional theory and kinetic theory has been proposed. In particular, it was shown that the Kohn-Sham (KS) equations can be reformulated as a macroscopic limit of the steady-state solution of a…

Chemical Physics · Physics 2015-10-28 M. Mendoza , H. J. Herrmann , S. Succi