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Pressure (density) and velocity boundary conditions inside a flow domain are studied for 2-D and 3-D lattice Boltzmann BGK models (LBGK) and a new method to specify these conditions are proposed. These conditions are constructed in…

comp-gas · 物理学 2009-10-28 Qisu Zou , Xiaoyi He

Mixing and heat transfer rates are typically enhanced when operating at high-pressure transcritical turbulent flow regimes. The rapid variation of thermophysical properties in the vicinity of the pseudo-boiling region can be leveraged to…

流体动力学 · 物理学 2024-09-27 Marc Bernades , Francesco Capuano , Lluis Jofre

This paper reports the investigations done to adapt the Characteristic Boundary Conditions (CBC) to the Lattice-Boltzmann formalism for high Reynolds number applications. Three CBC formalisms are implemented and tested in an open source LBM…

流体动力学 · 物理学 2017-01-27 Gauthier Wissocq , Nicolas Gourdain , Orestis Malaspinas , Alexandre Eyssartier

We examine the fluid flow forced by precession of a rotating cylindrical container using numerical simulations and experimental flow measurements with ultrasonic Doppler velocimetry (UDV). The analysis is based on the decomposition of the…

The construction of weak solutions to compressible Navier-Stokes equations via a numerical method (including a rigorous proof of the convergence) is in a short supply, and so far, available only for one sole numerical scheme suggested in…

数值分析 · 数学 2020-07-06 Young-Sam Kwon , Antonin Novotny

We consider the dynamics of two-phase fluids, in particular the moving contact line, on a solid substrate. The dynamics are governed by the sharp-interface model consisting of the incompressible Navier-Stokes\slash Stokes equations with the…

计算物理 · 物理学 2020-07-15 Quan Zhao , Weiqing Ren

The 3D incompressible Euler equations in a bounded domain are most often supplemented with impermeable boundary conditions, which constrain the fluid to neither enter nor leave the domain. We establish well-posedness with inflow, outflow of…

偏微分方程分析 · 数学 2024-12-19 Gung-Min Gie , James P. Kelliher , Anna L. Mazzucato

We study convection in a volumetrically heated fluid which is cooled from both plates and is under rotation through the use of direct numerical simulations. The onset of convection matches similar systems and predictions from asymptotic…

流体动力学 · 物理学 2025-03-27 Rodolfo Ostilla-Mónico , Ali Arslan

We have developed an efficient and unconditionally energy-stable method for simulating droplet formation dynamics. Our approach involves a novel time-marching scheme based on the scalar auxiliary variable technique, specifically designed…

数值分析 · 数学 2024-02-08 Jinpeng Zhang , Changjuan Zhang , Xiaoping Wang

Kinetic approaches, i.e., methods based on the lattice Boltzmann equations, have long been recognized as an appealing alternative for solving incompressible Navier-Stokes equations in computational fluid dynamics. However, such approaches…

图形学 · 计算机科学 2018-07-09 Wei Li , Kai Bai , Xiaopei Liu

Direct numerical simulations of free round jets at a Reynolds number ($Re_{D}$) of $5000$, based on jet diameter ($D$) and jet-exit bulk velocity ($U_{e}$), are performed to study jet turbulence characteristics at supercritical pressures.…

流体动力学 · 物理学 2021-08-04 Nek Sharan , Josette Bellan

We show that certain radially symmetric steady states of compressible viscous fluids in domains with inflow/outflow boundary conditions are unconditionally stable. This means that any not necessarily radially symmetric solution of the…

偏微分方程分析 · 数学 2024-12-20 Eduard Feireisl , Piotr Gwiazda , Agnieszka Świerczewska-Gwiazda

We consider a projection method for time-dependent incompressible Navier-Stokes equations with a total pressure boundary condition. The projection method is one of the numerical calculation methods for incompressible viscous fluids often…

数值分析 · 数学 2021-06-03 Kazunori Matsui

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

We study the two-dimensional incompressible Navier-Stokes equations in a channel $\Omega=(0,L)\times(0,H)$ with small viscosity $\varepsilon\ll1$, an $\varepsilon$-Navier slip condition on the horizontal walls, and a viscous inflow…

偏微分方程分析 · 数学 2026-02-24 Yan Guo , Zhuolun Yang

This study investigates the role of thermal boundary conditions on natural convection and entropy generation in non-Newtonian power-law fluids confined within a square cavity and a concentric cylindrical annulus. Steady, two-dimensional…

流体动力学 · 物理学 2026-05-14 Lambert Theisen , Satyvir Singh

In the present paper, a fluid-particle coupling method is directly derived from the Navier-Stokes equations (NSE) by applying the concept of volume-filtering, yielding a physically consistent methodology to incorporate solid wall boundary…

流体动力学 · 物理学 2024-10-17 Max Hausmann , Hani Elmestikawy , Berend van Wachem

A new formulation of the immersed boundary method, which facilitates accurate simulation of incompressible isothermal and natural convection flows around immersed bodies and which may be applied for accurate linear stability analysis of the…

流体动力学 · 物理学 2015-12-17 Yuri Feldman , Yosef Gulberg

The pseudopotential lattice Boltzmann method (LBM) is a prominent approach for simulating multiphase flows, valued for its physical intuitiveness and computational tractability. However, existing immiscible pseudopotential methods for…

流体动力学 · 物理学 2026-03-02 Yizhong Chen , Zhibin Wang

A proven methodology to solve multiphase flows is based on the one-fluid formulation of the governing equations, which treats the phase transition across the interface as a single fluid with varying properties and adds additional source…

流体动力学 · 物理学 2025-01-08 Jordi Poblador-Ibanez , Nicolas Valle , Bendiks Jan Boersma