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In the continuum flow regime, the Navier-Stokes equations are usually used for the description of gas dynamics. On the other hand, the Boltzmann equation is applied for the rarefied gas dynamics. Both equations are constructed from modeling…

Fluid Dynamics · Physics 2017-03-08 Kun Xu , Chang Liu

In this paper, we give an elaborate and understandable review of traffic cellular automata (TCA) models, which are a class of computationally efficient microscopic traffic flow models. TCA models arise from the physics discipline of…

Physics and Society · Physics 2007-05-23 Sven Maerivoet , Bart De Moor

Current GPU-accelerated supercomputers promise to enable large-scale simulations of turbulent flows. Lattice Boltzmann Methods (LBM) are particularly well-suited to fulfilling this promise due to their intrinsic compatibility with highly…

Computational Physics · Physics 2025-06-30 Adrian Kummerländer , Fedor Bukreev , Yuji Shimojima , Shota Ito , Mathias J. Krause

The Gas-Kinetic Scheme (GKS), widely used in computational fluid dynamics for simulating hypersonic and other complicated flow phenomena, is extended in this work to electromagnetic problems by solving Maxwell's equations. In contrast to…

Numerical Analysis · Mathematics 2026-01-01 Zhigang Pu , Wenpei Long , Kun Xu

A numerical method, based on the discrete lattice Boltzmann equation, is presented for solving the volume-averaged Navier-Stokes equations. With a modified equilibrium distribution and an additional forcing term, the volume-averaged…

Fluid Dynamics · Physics 2014-07-10 Jingfeng Zhang , Limin Wang , Jie Ouyang

A numerical model and parallel software for 3D simulations of granular flows have been developed based on the Lagrangian particle (LP) method [R.Samulyak, X. Wang, H.-C. Chen, Lagrangian particle method for compressible fluid dynamics, J.…

Computational Physics · Physics 2022-06-29 Mario Zepeda , Roman Samulyak

A family of novel models of liquid on a 2D lattice (2D lattice liquid models) have been proposed as primitive models of soft-material membrane. As a first step, we have formulated them as single-component, single-layered, classical particle…

Soft Condensed Matter · Physics 2013-05-30 Yukitaka Ishimoto , Takahiro Murashima , Takashi Taniguchi , Ryoichi Yamamoto

One of the current challenges in physically-based simulations, and, more specifically, fluid simulations, is to produce visually appealing results at interactive rates, capable of being used in multiple forms of media. In recent times, a…

Graphics · Computer Science 2024-04-17 Pedro Centeno , João Madeiras Pereira

A lattice model for the study of mixtures of associating liquids is proposed. Solvent and solute are modeled by adapting the associating lattice gas (ALG) model. The nature of interaction solute/solvent is controlled by tuning the energy…

Soft Condensed Matter · Physics 2016-11-03 A. P. Furlan , N. G. Almarza , M. C. Barbosa

We propose a method for the data-driven inference of temporal evolutions of physical functions with deep learning. More specifically, we target fluid flows, i.e. Navier-Stokes problems, and we propose a novel LSTM-based approach to predict…

Machine Learning · Computer Science 2019-03-06 Steffen Wiewel , Moritz Becher , Nils Thuerey

In multiscale, multi-physics applications, there is an increasing need for coupling numerical solvers that are each applied to a different part of the problem. Here we consider the case of coupling a Lattice Boltzmann fluid model and a…

Computational Physics · Physics 2007-05-23 Jonas Latt , Bastien Chopard , Paul Albuquerque

Numerical simulations of turbulent flows are well known to pose extreme computational challenges due to the huge number of dynamical degrees of freedom required to correctly describe the complex multi-scale statistical correlations of the…

Fluid Dynamics · Physics 2025-02-27 Giulio Ortali , Alessandro Gabbana , Nicola Demo , Gianluigi Rozza , Federico Toschi

Simulating the interaction of fluids with immersed moving solids is playing an important role for gaining a better quantitative understanding of how fluid dynamics is altered by the presence of obstacles and which forces are exerted on the…

Many fundamental problems in fluid dynamics are related to the effects of solid boundaries. In general, they install sharp gradients and contribute to the developement of small-scale structures, which are computationally expensive to…

Fluid Dynamics · Physics 2024-12-20 Ciro S. Campolina , Alexei A. Mailybaev

The Cellular Automaton (CA) modeling and simulation of solid dynamics is a long-standing difficult problem. In this paper we present a new two-dimensional CA model for solid dynamics. In this model the solid body is represented by a set of…

Cellular Automata and Lattice Gases · Physics 2015-06-12 Yinfeng Dong , Guangcai Zhang , Aiguo Xu , Yanbiao Gan

We present a hydrodynamic lattice gas model for two-dimensional flows on curved surfaces with dynamical geometry. This model is an extension to two dimensions of the dynamical geometry lattice gas model previously studied in one-dimension.…

Soft Condensed Matter · Physics 2015-05-18 Anna Klales , Donato Cianci , Zachary Needell , David A. Meyer , Peter J. Love

Complex fluid-fluid interfaces featuring mesoscale structures with adsorbed particles are key components of newly designed materials which are continuously enriching the field of soft matter. Simulation tools which are able to cope with the…

Soft Condensed Matter · Physics 2014-02-24 Marcello Sega , Mauro Sbragaglia , Sofia Sergeevna Kantorovich , Alexey Olegovich Ivanov

The wetting dynamics of liquid particles, from coated droplets to soft capsules, holds significant technological interest. Motivated by the need to simulate liquid metal droplet with an oxidize surface layer, in this work we introduce a…

Fluid Dynamics · Physics 2024-02-14 Francesca Pelusi , Fabio Guglietta , Marcello Sega , Othmane Aouane , Jens Harting

We present a novel lattice Boltzmann method that has a capability of simulating thermodynamic multiphase flows. This approach is fully thermodynamically consistent at the macroscopic level. Using this new method, a liquid-vapor boiling…

Fluid Dynamics · Physics 2009-11-07 Raoyang Zhang , Hudong Chen

We introduce Neural Particle Automata (NPA), a Lagrangian generalization of Neural Cellular Automata (NCA) from static lattices to dynamic particle systems. Unlike classical Eulerian NCA where cells are pinned to pixels or voxels, NPA model…

Neural and Evolutionary Computing · Computer Science 2026-01-23 Hyunsoo Kim , Ehsan Pajouheshgar , Sabine Süsstrunk , Wenzel Jakob , Jinah Park
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