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Non-equilibrium effects play a vital role in high-speed and rarefied gas flows and the accurate simulation of these flow regimes are far beyond the capability of near-local-equilibrium Navier-Stokes-Fourier equations. Eu proposed…

流体动力学 · 物理学 2016-11-07 Zhongzheng Jiang , Weifang Chen , Wenwen Zhao

In this study, the multiple solutions of Nonlinear Coupled Constitutive Relation (NCCR) model are firstly observed and a way for identifying the physical solution is proposed. The NCCR model proposed by Myong is constructed from the…

计算物理 · 物理学 2022-11-23 Junzhe Cao , Sha Liu , Chengwen Zhong , Congshan Zhuo , Kun Xu

Classical continuum-based liquid vapour phase-change models typically assume continuity of temperature at phase interfaces along with a relation which describes the rate of evaporation at the interface (Hertz-Knudsen-Schrage, for example).…

流体动力学 · 物理学 2021-06-10 Anirudh S Rana , Sonu Saini , Suman Chakraborty , Duncan A Lockerby , James E Sprittles

We analyze the representation of viscous stresses in the one-fluid formulation of the two-phase Navier-Stokes equations, the model on which all computational approaches making use of a fixed mesh to discretize the flow field are grounded.…

流体动力学 · 物理学 2025-06-06 Jacques Magnaudet , Hadrien Bruhier , Samuel Mer , Thomas Bonometti

The accurate and efficient modeling of granular flows and their interactions with external bodies is an open research problem. Continuum methods can be used to capture complexities neglected by terramechanics models without the…

软凝聚态物质 · 物理学 2022-04-27 Amin Haeri , Krzysztof Skonieczny

Modeling transition-continuum hypersonic flows poses significant challenges due to thermodynamic nonequilibrium and the associated breakdown of the continuum assumption. Standard continuum models such as the Navier-Stokes equations are…

流体动力学 · 物理学 2025-06-18 Mikolaj Kryger , Jonathan F. MacArt

Provable nonlinear stability bounds the discrete approximation and ensures that the discretization does not diverge. For high-order methods, discrete nonlinear stability and entropy stability, have been successfully implemented for…

数值分析 · 数学 2023-12-14 Alexander Cicchino , Siva Nadarajah

Computational Fluid Dynamics (CFD) simulation by the numerical solution of the Navier-Stokes equations is an essential tool in a wide range of applications from engineering design to climate modeling. However, the computational cost and…

计算物理 · 物理学 2021-11-29 Mateus Dias Ribeiro , Abdul Rehman , Sheraz Ahmed , Andreas Dengel

In this work, the Navier-Stokes (NS) solver is combined with the Direct simulation Monte Carlo (DSMC) solver in a direct way, under the wave-particle formulation [J. Comput. Phys. 401, 108977 (2020)]. Different from the classical domain…

计算物理 · 物理学 2023-09-26 Junzhe Cao , Sha Liu , Sirui Yang , Chengwen Zhong

This paper introduces the fundamental continuum theory governing momentum transport in isotropic nanofluidic flows. The theory is an extension to the classical Navier-Stokes equation, which includes coupling between translational and…

软凝聚态物质 · 物理学 2017-01-04 J. S. Hansen , Jeppe C. Dyre , Peter J. Daivis , B. D. Todd , Henrik Bruus

To simulate the interaction of ocean waves with marine structures, coupling approaches between a potential flow model and a viscous model are investigated. The first model is a fully nonlinear potential flow (FNPF) model based on the…

流体动力学 · 物理学 2022-06-22 Fabien Robaux , Michel Benoit

Typical multispecies compressible Navier-Stokes computations employ conservative equations for mass fraction transport. Upwind discretisations of these governing equations produce spurious pressure oscillations at diffuse contact surfaces…

计算物理 · 物理学 2018-06-28 Ben Thornber , Michael Groom , David Youngs

This paper presents a robust, adaptive numerical scheme for simulating high density ratio and high shear multiphase flows on locally refined Cartesian grids that adapt to the evolving interfaces and track regions of high vorticity. The…

We investigate the Navier-Stokes-Cattaneo-Christov (NSC) system in $\mathbb{R}^d$ ($d\geq3$), a model of heat-conductive compressible flows serving as a finite speed of propagation approximation of the Navier-Stokes-Fourier (NSF) system.…

偏微分方程分析 · 数学 2024-04-12 Timothée Crin-Barat , Shuichi Kawashima , Jiang Xu

The inability of the Navier-Stokes-Fourier equations to capture rarefaction effects motivates us to adopt the extended hydrodynamic equations. In the present work, a hydrodynamic model, which consists of the conservation laws closed with…

流体动力学 · 物理学 2023-08-25 Himanshi , Anirudh Singh Rana , Vinay Kumar Gupta

For more than 150 years the Navier-Stokes equations for thermodynamically quasi-equilibrium flows have been the cornerstone of modern computational fluid dynamics that underpins new fluid technologies. However, the applicable regime of the…

流体动力学 · 物理学 2012-01-11 Jianping Meng , Nishanth Dongari , Jason M. Reese , Yonghao Zhang

Non-Newtonian fluid flow might be driven by spatially nonlocal velocity, the dynamics of which can be described by promising fractional derivative models. This short communication proposes a space FrActional-order Constitutive Equation…

流体动力学 · 物理学 2016-12-13 HongGuang Sun , Yong Zhang , Song Wei , Jianting Zhu

Computational physics simulation can be a powerful tool to accelerate industry deployment of new scientific technologies. However, it must address the challenge of computationally tractable, moderately accurate prediction at large industry…

We discuss the applicability of a unified hyperbolic model for continuum fluid and solid mechanics to modeling non-Newtonian flows and in particular to modeling the stress-driven solid-fluid transformations in flows of viscoplastic fluids,…

In this paper, a pore-scale network modeling method, based on the flow continuity residual in conjunction with a Newton-Raphson non-linear iterative solving technique, is proposed and used to obtain the pressure and flow fields in a network…

流体动力学 · 物理学 2014-12-02 Taha Sochi
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