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We present a model for computing the surface force density on a fluid ellipsoid in simple shear flow, which we derive by coupling existing models for the shape of a fluid droplet and the surface force density on a solid ellipsoid. The…

流体动力学 · 物理学 2016-10-13 E. P. Kightley , A. Pearson , J. A. Evans , D. M. Bortz

We compute the leading-order inertial corrections to the instantaneous force acting on a rigid body moving with a time-dependent slip velocity in a linear flow field, assuming that the variation of the undisturbed flow at the body scale is…

流体动力学 · 物理学 2025-10-01 Fabien Candelier , Bernhard Mehlig , Jacques Magnaudet

It is an interesting and important topic to study the motion of small particles in a viscous liquid in current applied research. In this paper we assume the particles are convex with arbitrary shapes and mainly investigate the interaction…

偏微分方程分析 · 数学 2023-05-24 Haigang Li , Longjuan Xu , Peihao Zhang

The lift and drag forces acting on a small spherical particle moving with a finite slip in single-wall-bounded flows are investigated via direct numerical simulations. The effect of slip velocity on the particle force is analysed as a…

流体动力学 · 物理学 2021-04-07 Nilanka. I. K. Ekanayake , Joseph D. Berry , Dalton J. E. Harvie

We derive a set of equations in conformal variables that describe a potential flow of an ideal inviscid fluid with free surface in a bounded domain. This formulation is free of numerical instabilities present in the equations for the…

流体动力学 · 物理学 2018-12-26 Sergey A. Dyachenko

In this article we present a goal-oriented adaptive finite element method for a class of subsurface flow problems in porous media, which exhibit seepage faces. We focus on a representative case of the steady state flows governed by a…

数值分析 · 数学 2021-01-12 Ben Ashby , Cassiano Bortolozo , Alex Lukyanov , Tristan Pryer

We study a 2D potential flow of an ideal fluid with a free surface with decaying conditions at infinity. By using the conformal variables approach, we study a particular solution of Euler equations having a pair of square-root branch points…

流体动力学 · 物理学 2022-12-14 A. I. Dyachenko , S. A. Dyachenko , V. E. Zakharov

"Marching of freely falling plates" is a fluid dynamics video for the Gallery of Fluid Motion submitted to APS-DFD 2011 at Baltimore Maryland. The problem of a freely falling plate is of interest in both fluid mechanics and nonlinear…

流体动力学 · 物理学 2011-10-19 Hui Wan , Haibo Dong , Zachary Gaston , Zongxian Liang

We extend thresholding methods for numerical realization of mean curvature flow on obstacles to the anisotropic setting where interfacial energy depends on the orientation of the interface. This type of schemes treats the interface…

数值分析 · 数学 2021-06-09 Siddharth Gavhale , Karel Svadlenka

The computation of damping rates of an oscillating fluid with a free surface in which viscosity is small and surface tension high is numerically challenging. A typical application requiring such computation is drop-on-demand (DoD)…

We analyze the surface tension exerted at the interface between an active fluid and a solid boundary in terms of tangential forces. Focusing on active systems known to possess an equation of state for the pressure, we show that interfacial…

Many applications of computational fluid dynamics require multiple simulations of a flow under different input conditions. In this paper, a numerical algorithm is developed to efficiently determine a set of such simulations in which the…

数值分析 · 数学 2017-05-29 Max Gunzburger , Nan Jiang , Zhu Wang

Most approaches in Lagrangian fluid dynamics simulations proceed from the definition of particle volumes, from which discrete versions of the spatial differential operators are derived. Recently, Gallou\"et and M\'erigot [1] simultaneously…

流体动力学 · 物理学 2023-01-25 Daniel Duque

We propose a numerical method for fluid deformable surfaces governed by surface Stokes flow and Helfrich bending energy under active growth, aiming to model shape evolution of the epithelium in developmental processes. To prevent…

流体动力学 · 物理学 2026-02-17 Maik Porrmann , Sören Bartels , Axel Voigt

Suspensions with fiber-like particles in the low Reynolds number regime are modeled by two different approaches that both use a Lagrangian representation of individual particles. The first method is the well-established formulation based on…

计算工程、金融与科学 · 计算机科学 2015-03-25 Dominik Bartuschat , Ellen Fischermeier , Katarina Gustavsson , Ulrich Rüde

Simulation approaches for fluid-structure-contact interaction, especially if requested to be consistent even down to the real contact scenarios, belong to the most challenging and still unsolved problems in computational mechanics. The main…

计算工程、金融与科学 · 计算机科学 2018-09-12 Christoph Ager , Benedikt Schott , Anh-Tu Vuong , Alexander Popp , Wolfgang A. Wall

Turbulent plane-Couette flow suspended with finite-size spheroidal particles is studied using fully particle-resolved direct numerical simulations. The effects of particle aspect ratio on turbulent arguments and particle statistics are…

流体动力学 · 物理学 2023-11-06 Cheng Wang , Linfeng Jiang , Chao Sun

Equations relating the pressure at a horizontal seabed, the free-surface profile and the surface-pressure are derived for two-dimensional irrotational steady water waves with arbitrary pressure at the free surface. Special cases include…

流体动力学 · 物理学 2023-11-01 Didier Clamond , Joris Labarbe

We consider steady nonlinear free surface flow past an arbitrary bottom topography in three dimensions, concentrating on the shape of the wave pattern that forms on the surface of the fluid. Assuming ideal fluid flow, the problem is…

流体动力学 · 物理学 2018-09-14 Nicholas R. Buttle , Ravindra Pethiyagoda , Timothy J. Moroney , Scott W. McCue

Achieving accurate numerical results of hydrodynamic loads based on the potential-flow theory is very challenging for structures with sharp edges, due to the singular behavior of the local-flow velocities. In this paper, we introduce the…

数值分析 · 数学 2021-09-23 Ying Wang , Yanlin Shao , Jikang Chen , Hui Liang