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A conservative finite-volume framework, based on a collocated variable arrangement, for the simulation of flows at all speeds, applicable to incompressible, ideal-gas and real-gas fluids is proposed in conjunction with a fully-coupled…

计算物理 · 物理学 2020-03-03 Fabian Denner , Fabien Evrard , Berend van Wachem

This paper is concerned with the incompressible limit of the compressible hydrodynamic flow of liquid crystals with periodic boundary conditions in R^N(N = 2, 3). It is rigorously shown that the local (and global) strong solution of the…

偏微分方程分析 · 数学 2014-05-06 Shijin Ding , Jinrui Huang , Huanyao Wen , Ruizhao Zi

Vortex motion is a complex problem due to the interplay between the short-range physics at the vortex core level and the long-range hydrodynamical effects. Here we show that the hydrodynamic equations of vortex motion in a compressible…

量子气体 · 物理学 2017-02-15 L. A. Toikka , J. Brand

Compressible flow varies from ideal-gas behavior at high pressures where molecular interactions become important. Density is described through a cubic equation of state while enthalpy and sound speed are functions of both temperature and…

流体动力学 · 物理学 2020-03-11 William A. Sirignano

Hydrodynamic equations for ideal incompressible fluid are written in terms of generalized stream function. Two-dimensional version of these equations is transformed to the form of one dynamic equation for the stream function. This equation…

综合物理 · 物理学 2007-05-23 Yuri A. Rylov

We study the dynamics of a nearly incompressible fluid via (classical) effective field theory. In the kinematical regime corresponding to near incompressibility (small fluid velocities and accelerations), compressional modes are, by…

高能物理 - 理论 · 物理学 2013-03-15 Solomon Endlich , Alberto Nicolis

Smoothed particle hydrodynamics is a particle-based, fully Lagrangian, method for fluid-flow simulations. In this work, fundamental concepts of the method are first briefly recalled. Then, we present a thorough comparison of three different…

流体动力学 · 物理学 2012-08-22 Kamil Szewc , Jacek Pozorski , Jean-Pierre Minier

We consider compressible fluid flow on an evolving surface with a piecewise Lipschitz-continuous boundary from an energetic point of view. We employ both an energetic variational approach and the first law of thermodynamics to make a…

数学物理 · 物理学 2022-12-20 Hajime Koba

This study presents a new turbulence model for isothermal compressible flows. The model is derived by combining the Favre averaging and the Conservation-dissipation formalism -- a newly developed thermodynamics theory. The latter provides a…

偏微分方程分析 · 数学 2025-04-29 Zhiting Ma , Wen-An Yong , Yi Zhu

This paper is concerned with the incompressible limit problem for strong solutions of compressible two-phase flow models under periodic boundary conditions, where the Navier-Stokes equations are nonlinearly coupled with either Cahn-Hilliard…

偏微分方程分析 · 数学 2025-03-04 Yinghua Li , Manrou Xie

The self-gravitating instability of a compressible-inviscid fluid cylinder immersed into a self-gravitating tenuous medium of negligible motion is developed. The stability criterion is derived based on the linear perturbation technique.…

流体动力学 · 物理学 2007-05-23 Ahmed E. Radwan , Gamal G. L. Nashed

We investigate a kinetic model for compressible non-ideal fluids [DOI:10.1103/PhysRevE.102.020103]. The model imposes the local thermodynamic pressure through a rescaling of the particles velocities, which accounts for both long- and…

流体动力学 · 物理学 2021-02-02 Ehsan Reyhanian , Benedikt Dorschner , Ilya Karlin

We study closed, embedded hypersurfaces in Euclidean space evolving by fully nonlinear curvature flows, whose speed is given by a symmetric, monotone increasing, $1$-homogeneous, positive underlying speed function $F$ composed with a…

微分几何 · 数学 2025-09-29 Weimin Sheng , Ye Zhu

A suitable expression for hydrodynamic impulse in a compressible fluid is deduced. The development of appropriate impulse formulation for compressible Euler equations confirms the propriety of the hydrodynamic impulse expression for a…

流体动力学 · 物理学 2015-05-14 Bhimsen K. Shivamoggi

The linearized Navier-Stokes equations for a system of superposed immiscible compressible ideal fluids are analyzed. The results of the analysis reconcile the stabilizing and destabilizing effects of compressibility reported in the…

流体动力学 · 物理学 2009-11-10 Daniel Livescu

Hydrodynamic interactions are transmitted by viscous diffusion and sound propagation: the temporal evolution of hydrodynamic interactions by both mechanisms is studied by direct numerical simulation in this paper. The hydrodynamic…

软凝聚态物质 · 物理学 2015-06-12 Rei Tatsumi , Ryoichi Yamamoto

We study the instability of a superfluid flow through a constriction in three spatial dimensions. We consider a Bose-Einstein condensate at zero temperature in two different geometries: a straight waveguide and a torus. The constriction…

量子气体 · 物理学 2014-04-11 F. Piazza , L. A. Collins , A. Smerzi

A classical model for water-gas flows in porous media is considered. The degenerate coupled system of equations obtained by mass conservation is usually approximated by finite volume schemes in the oil reservoir simulations. The convergence…

数值分析 · 数学 2015-03-18 Mostafa Bendahmane , Ziad Khalil , Mazen Saad

In this work, a transformation, which maps the mean velocity profiles of compressible wall-bounded turbulent flows to the incompressible law of the wall is proposed. Unlike existing approaches, the proposed transformation successfully…

流体动力学 · 物理学 2021-08-23 Kevin Patrick Griffin , Lin Fu , Parviz Moin

Ideal systems like MHD and Euler flow may develop singularities in vorticity (w = curl v). Viscosity and resistivity provide dissipative regularizations of the singularities. In this paper we propose a minimal, local, conservative,…

等离子体物理 · 物理学 2016-03-04 Govind S. Krishnaswami , Sonakshi Sachdev , Anantanarayanan Thyagaraja
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