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The current resurgence in the phase diagram study beyond the critical point has questioned the conventional belief of supercritical fluid as a single phase with varying properties. On the same line, a novel two-phase approach has been…

流体动力学 · 物理学 2021-05-14 Piyush Mani Tripathi , Saptarshi Basu

We consider the numerical approximation of a sharp-interface model for two-phase flow, which is given by the incompressible Navier-Stokes equations in the bulk domain together with the classical interface conditions on the interface. We…

数值分析 · 数学 2023-06-21 Harald Garcke , Robert Nürnberg , Quan Zhao

We propose an efficient numerical method for the simulation of multi-phase flows with moving contact lines in three dimensions. The mathematical model consists of the incompressible Navier-Stokes equations for the two immiscible fluids with…

流体动力学 · 物理学 2023-02-08 Quan Zhao , Shixin Xu , Weiqing Ren

We analyze optimal control problems for two-phase Navier-Stokes equations with surface tension. Based on $L_p$-maximal regularity of the underlying linear problem and recent well-posedness results of the problem for sufficiently small data…

偏微分方程分析 · 数学 2021-06-07 Elisabeth Diehl , Johannes Haubner , Michael Ulbrich , Stefan Ulbrich

We present accurate and mathematically consistent formulations of a diffuse-interface model for two-phase flow problems involving rapid evaporation. The model addresses challenges including discontinuities in the density field by several…

计算工程、金融与科学 · 计算机科学 2024-11-04 Magdalena Schreter-Fleischhacker , Peter Munch , Nils Much , Martin Kronbichler , Wolfgang A. Wall , Christoph Meier

Prediction of two-phase boiling flows using the computational fluid dynamics (CFD) approach is very challenging since several sub-models for interfacial mass, momentum and energy transfer in such flows are still not well established and…

流体动力学 · 物理学 2017-09-07 Kai Fu , Henryk Anglart

In this work, we present a parametric finite element approximation of two-phase Navier-Stokes flow with viscoelasticity. The free boundary problem is given by the viscoelastic Navier-Stokes equations in the two fluid phases, connected by…

数值分析 · 数学 2026-02-11 Harald Garcke , Robert Nürnberg , Dennis Trautwein

An extended volume of fluid method is developed for two-phase direct numerical simulations of systems with one viscoelastic and one Newtonian phase. A complete set of governing equations is derived by conditional volume-averaging of the…

流体动力学 · 物理学 2020-12-08 Matthias Niethammer , Günter Brenn , Holger Marschall , Dieter Bothe

Insoluble surfactants adsorbed at liquid-liquid or gas-liquid interfaces alter interfacial tension, leading to variations in the normal stress jump and generating tangential Marangoni stresses that can dramatically affect the flow dynamics.…

流体动力学 · 物理学 2025-07-15 Zhong-Han Xue , Jacques Magnaudet , Jie Zhang

Investigating blood flow in the cardiovascular system is crucial for assessing cardiovascular health. Computational approaches offer some non-invasive alternatives to measure blood flow dynamics. Numerical simulations based on traditional…

数值分析 · 数学 2024-06-07 Han Zhang , Raymond Chan , Xue-Cheng Tai

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

In this fluid dynamics video, results from high fidelity numerical simulations are presented, which have been carried out to study the flow and droplet dynamics of liquid sheets formed by two impinging jets. A three-dimensional…

流体动力学 · 物理学 2011-10-18 Xiaodong Chen , Prashant Khare , Dongjun Ma , Vigor Yang

We present and analyze a variational front-tracking method for a sharp-interface model of multiphase flow. The fluid interfaces between different phases are represented by curve networks in two space dimensions (2d) or surface clusters in…

数值分析 · 数学 2026-02-11 Harald Garcke , Robert Nürnberg , Quan Zhao

The following paper presents two simulation strategies for compressible two-phase or multicomponent flows. One is a full non-equilibrium model in which the pressure and velocity are driven towards the equilibrium at interfaces by numerical…

计算物理 · 物理学 2021-08-13 Rémi Abgrall , Paola Bacigaluppi , Barbara Re

This paper presents a solver using the Level-Set method for incompressible two phase flows with surface tension. A one fluid approach is adopted where both phases share the same velocity and pressure field. The Level Set method has been…

流体动力学 · 物理学 2024-11-13 Paulin Ferro , Paul Landel , Carla Landrodie , Simon Guillot , Marc Pescheux

The speed of sound in two-phase pipe flow systems is often several orders of magnitude greater than the travelling speed of hydraulic information (volume fractions.) Dynamically simulating such flows requires resolution of acoustic and…

计算物理 · 物理学 2018-11-30 Andreas Holm Akselsen

Free-surface flow is relevant to many researchers in water resources engineering, geohazard assessment, as well as coastal and river engineering. Many different free-surface models have been proposed, which span modeling complexity from the…

计算工程、金融与科学 · 计算机科学 2026-01-09 Ingo Steldermann , Julia Kowalski

This paper aims at presenting the DropletSMOKE++ solver, a comprehensive multidimensional computational framework for the evaporation of fuel droplets, under the influence of a gravity field and an external fluid flow. The Volume Of Fluid…

计算工程、金融与科学 · 计算机科学 2020-05-07 Abd Essamade Saufi , Alessio Frassoldati , Alberto Cuoci , Tiziano Faravelli

We compare two recently developed mesoscale models of binary immiscible and ternary amphiphilic fluids. We describe and compare the algorithms in detail and discuss their stability properties. The simulation results for the cases of…

软凝聚态物质 · 物理学 2009-11-07 P. J. Love , M. Nekovee , J. Chin , N. Gonzalez-Segredo , P. V. Coveney

In this article we consider the numerical modeling and simulation via the phase field approach of two-phase flows of different densities and viscosities in superposed fluid and porous layers. The model consists of the…

数值分析 · 数学 2021-12-09 Yali Gao , Daozhi Han , Xiaoming He , Ulrich Rüde