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Fluid dynamics corresponds to the dynamics of a substance in the long wavelength limit. Writing down all terms in a gradient (long wavelength) expansion up to second order for a relativistic system at vanishing charge density, one obtains…

高能物理 - 理论 · 物理学 2010-01-22 Paul Romatschke

A mechanical model of swimming and flying in an incompressible viscous fluid in the absence of gravity is studied on the basis of assumed equations of motion. The system is modeled as an assembly of rigid spheres subject to elastic direct…

流体动力学 · 物理学 2015-11-30 B. U. Felderhof

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

An ideal compressible fluid is considered, with an equilibrium density being a given function of coordinates due to presence of some static external forces. The slow flows in such system, which do not disturb the density, are investigated…

流体动力学 · 物理学 2009-11-06 V. P. Ruban

We consider the coupled motion of a free rigid body immersed in an inviscid compressible isentropic fluid. By means of a vanishing viscosity limit, we obtain the local-in-time existence of a dissipative measure-valued solution to the model.…

偏微分方程分析 · 数学 2026-03-04 Qianfeng Li , Emil Wiedemann

This article is devoted to investigate the singular profile of the free boundary of two-dimensional incompressible inviscid fluid with external force near the stagnation point. More precisely, given an external force with some polynomial…

偏微分方程分析 · 数学 2025-06-19 Lili Du , Yang Pu , Jing Yang

In the present article we consider the problem of wave interaction with a partially immersed, but floating body. We assume that the motion of the body is prescribed. The general mathematical formulation for this problem is presented in the…

经典物理 · 物理学 2020-02-20 Gayaz Khakimzyanov , Denys Dutykh

Solution of a problem on the interaction mechanics of a free liquid jet with a flat plate, body and with other jet has been achieved by means of a graphic-analytical method, developed by author of the given article. This method has allowed…

流体动力学 · 物理学 2008-01-29 S. L. Arsenjev

In this study, the numerical analysis of a specific fluid-solid interaction problem is detailed. The weakly nonlinear Boussinesq system is considered with the addition of a solid object lying on the flat bottom, allowed to move horizontally…

数值分析 · 数学 2018-05-21 Krisztian Benyo

We study the shape differentiability of a cost function for the flow of an incompressible viscous fluid of power-law type. The fluid is confined to a bounded planar domain surrounding an obstacle. For smooth perturbations of the shape of…

偏微分方程分析 · 数学 2015-04-01 Jan Sokolowski , Jan Stebel

Direct numerical simulations are used to investigate the individual dynamics of large spherical particles suspended in a developed homogeneous turbulent flow. A definition of the direction of the particle motion relative to the surrounding…

流体动力学 · 物理学 2015-06-16 Mamadou Cisse , Holger Homann , Jeremie Bec

Flow structures beneath a moving disturbance along a water free surface in the weakly nonlinear weakly dispersive regime in a sheared channel with finite depth and constant vorticity are investigated. We compute the exact two branches of…

流体动力学 · 物理学 2023-08-25 Marcelo V. Flamarion

Fluid deformable surfaces show a solid-fluid duality which establishes a tight interplay between tangential flow and surface deformation. We derive the governing equations as a thin film limit and provide a general numerical approach for…

计算物理 · 物理学 2023-07-19 Sebastian Reuther , Ingo Nitschke , Axel Voigt

Droplet impact phenomena are ubiquitous in both nature and industry. Existing studies of droplet impact have focused on the kinematics of droplet impact on flat surfaces, whereas research on cylindrical surfaces remains relatively limited,…

流体动力学 · 物理学 2026-01-09 Mengqi Ye , Tianyou Wang , Zhizhao Che

Theoretical results on water waves almost always start by assuming irrotationality of the flow in order to simplify the formulation. In this work, we investigate the well-foundedness of this hypothesis via numerical simulations of the…

流体动力学 · 物理学 2025-11-21 Alan Riquier , Emmanuel Dormy

Many immersed boundary methods solve for surface stresses that impose the velocity boundary conditions on an immersed body. These surface stresses may contain spurious oscillations that make them ill-suited for representing the physical…

流体动力学 · 物理学 2016-07-20 Andres Goza , Sebastian Liska , Benjamin Morley , Tim Colonius

The initial-boundary value problem of the vorticity equation has been solved numerically by an iterative method. A variety of initial vorticity distributions is specified. All of them can be described by simple mathematical functions: there…

流体动力学 · 物理学 2018-08-23 F. Lam

In this paper, we investigate steady two-dimensional free-surface flows of an inviscid and incompressible fluid emerging from a nozzle, falling under gravity and impinging onto a horizontal wall. More precisely, for any given atmosphere…

偏微分方程分析 · 数学 2018-08-07 Jianfeng Cheng , Lili Du , Zhouping Xin

We discuss the property of the number density of a fluid of particles living in a curved surface without boundaries to be constant in the thermodynamic limit. In particular we find a sufficient condition for the density to be constant along…

统计力学 · 物理学 2012-11-20 Riccardo Fantoni

From the Navier-Stokes-Korteweg (NSK) equations, the exact relations between the fundamental surface physical quantities for two-phase viscous flow with diffuse interface are derived, including density gradient, shear stress, vorticity,…

流体动力学 · 物理学 2022-12-21 Tao Chen , Tianshu Liu