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The rigorous simulation of stratified turbulence remains challenging due to pronounced flow anisotropy, suppressed vertical transport, and high sensitivity to numerical dissipation. This study systematically evaluates the predictive…

流体动力学 · 物理学 2026-05-15 Hongxuan Zhang

We investigate the hydrodynamic recovery of Lattice Boltzmann Method (LBM) by analyzing exact balance relations for energy and enstrophy derived from averaging the equations of motion on sub-volumes of different sizes. In the context of 2D…

We explore the dynamics of the three-dimensional compressible Taylor--Green vortex from the perspective of kinetic theory by directly solving the six-dimensional Boltzmann equation. This work studies the connections between molecular-scale…

流体动力学 · 物理学 2025-07-11 Tarik Dzanic , Will Trojak , Luigi Martinelli

Lattice Boltzmann models are briefly introduced together with references to methods used to predict their ability for simulations of systems described by partial differential equations that are first order in time and low order in space…

数值分析 · 数学 2024-11-15 Pierre Lallemand , François Dubois , Li-shi Luo

The Lattice-Boltzmann method is a mesoscopic approach for solving hydrodynamic problems involving both laminar and turbulent fluids. Although the suitability for the former cases is supported by a myriad of studies, turbulent flows always…

流体动力学 · 物理学 2026-04-08 Raquel Dapena-García , Vicente Pérez-Muñuzuri

We develop a relativistic lattice Boltzmann (LB) model, providing a more accurate description of dissipative phenomena in relativistic hydrodynamics than previously available with existing LB schemes. The procedure applies to the…

计算物理 · 物理学 2015-06-12 M. Mendoza , I. Karlin , S. Succi , H. J. Herrmann

Recently, a minimal kinetic model for fluid flow, known as entropic lattice Boltzmann method, has been proposed for the simulation of isothermal hydrodynamic flows. At variance with previous Lattice Boltzmann methods, the entropic version…

统计力学 · 物理学 2007-05-23 I. V. Karlin , S. Ansumali , E. DE Angelis , H. C. Öttinger , S. Succi

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…

流体动力学 · 物理学 2025-02-27 Giulio Ortali , Alessandro Gabbana , Nicola Demo , Gianluigi Rozza , Federico Toschi

Numerical simulation of turbulent fluid dynamics needs to either parameterize turbulence-which introduces large uncertainties-or explicitly resolve the smallest scales-which is prohibitively expensive. Here we provide evidence through…

The objective of this work is to investigate the utility and effectiveness of the high-order scheme for simulating unsteady turbulent flows. To achieve it, the studies were conducted from two perspectives: (i) the ability of different…

流体动力学 · 物理学 2024-07-30 Peng Jiang , Yichen Huang , Yong Cao , Shijun Liao , Bin Xie

A computational study of higher-order derivative ratios on a time interval leading to the enstrophy peak is presented in the case of the 3D Taylor-Green vortex, a benchmark problem in the simulation of turbulent flows. The main finding is…

偏微分方程分析 · 数学 2026-05-22 Zoran Grujić , Muhammad Mohebujjaman

Polymer dynamics in a turbulent flow is a problem spanning several orders of magnitude of length and time scales. A microscopic simulation covering all those scales from the polymer segment to the inertial scale of turbulence seems…

统计力学 · 物理学 2008-09-30 Jonghoon Lee , Burkhard Duenweg , Joerg Schumacher

Turbulent compressible flows are traditionally simulated using explicit time integrators applied to discretized versions of the Navier-Stokes equations. However, the associated Courant-Friedrichs-Lewy condition severely restricts the…

计算物理 · 物理学 2021-08-11 Dominik Wilde , Andreas Krämer , Dirk Reith , Holger Foysi

A detailed derivation of the Lattice Boltzmann (LB) scheme for relativistic fluids recently proposed in Ref. [1], is presented. The method is numerically validated and applied to the case of two quite different relativistic fluid dynamic…

太阳与恒星天体物理 · 物理学 2010-12-28 M. Mendoza , B. M. Boghosian , H. J. Herrmann , S. Succi

We present an energy conserving lattice Boltzmann model based on a crystallographic lattice for simulation of weakly compressible flows. The theoretical requirements and the methodology to construct such a model are discussed. We…

计算物理 · 物理学 2020-01-29 Praveen Kumar Kolluru , Mohammad Atif , Manjusha Namburi , Santosh Ansumali

We consider multi relaxation times lattice Boltzmann scheme with two particle distributions for the thermal Navier Stokes equations formulated with conservation of mass and momentum and dissipation of volumic entropy.Linear stability is…

数值分析 · 数学 2018-06-25 François Dubois , Benjamin Graille , Pierre Lallemand

Filtering is often used in Large Eddy Simulation with a global filter width, instead here a filter width in the reference domain of high order Flux Reconstruction is considered. It is shown via Von Neumann analysis how filtering effects the…

数值分析 · 数学 2018-05-17 Will Trojak , Rob Watson , Paul G. Tucker

A recently introduced family of lattice Boltzmann (LB) models (Karlin, B\"osch, Chikatamarla, Phys. Rev. E, 2014) is studied in detail for incompressible two-dimensional flows. A framework for developing LB models based on entropy…

流体动力学 · 物理学 2015-07-10 Fabian Bösch , Shyam S. Chikatamarla , Ilya Karlin

We present three dimensional realizations of the model introduced recently by (Karlin, B\"osch, Chikatamarla, Phys. Rev. E 2014) and review the role of the entropic stabilizer. The presented models achieve outstanding numerical stability in…

流体动力学 · 物理学 2015-07-10 Fabian Bösch , Shyam S. Chikatamarla , Ilya Karlin

A GPU-accelerated version of the lattice Boltzmann method for efficient simulation of soft materials is introduced. Unlike standard approaches, this method reconstructs the distribution functions from available hydrodynamic variables…

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