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This work derives the Navier--Stokes hydrodynamic equations for a model of a confined, quasi-two-dimensional, $s$-component mixture of inelastic, smooth, hard spheres. Using the inelastic version of the revised Enskog theory, macroscopic…

软凝聚态物质 · 物理学 2026-03-27 David González Méndez , Vicente Garzó

We review the properties of the nonlinearly dispersive Navier-Stokes-alpha (NS-alpha) model of incompressible fluid turbulence -- also called the viscous Camassa-Holm equations and the LANS equations in the literature. We first re-derive…

混沌动力学 · 物理学 2009-11-07 C. Foias , D. D. Holm , E. S. Titi

The aim of this paper is to discuss the appropriate modelling of in- and outflow boundary conditions for nonlinear drift-diffusion models for the transport of particles including size exclusion and their effect on the behaviour of…

偏微分方程分析 · 数学 2016-11-03 Martin Burger , Jan-Frederik Pietschmann

This research is aimed at achieving an efficient digital infrastructure for evaluating risks and damages caused by tsunami flooding. It is mainly focused on the suitable modeling of debris dynamics for a simple (but accurate enough)…

计算工程、金融与科学 · 计算机科学 2021-02-16 Florian De Vuyst

In rough-wall boundary layers, wall-parallel non-homogeneous mean-flow solutions exist that lead to so-called dispersive velocity components and dispersive stresses. They play a significant role in the mean-flow momentum balance near the…

流体动力学 · 物理学 2019-02-20 Johan Meyers , Bharathram Ganapathisubramani , Raúl Bayoán Cal

We compute the solutions of Prandtl's and Navier-Stokes equations for the two dimensional flow induced by a rectilinear vortex interacting with a boundary in the half plane. For this initial datum Prandtl's equation develops, in a finite…

数学物理 · 物理学 2013-10-25 Francesco Gargano , Marco Sammartino , Vincenzo Sciacca

We present a novel fully implicit hybrid finite volume/finite element method for incompressible flows. Following previous works on semi-implicit hybrid FV/FE schemes, the incompressible Navier-Stokes equations are split into a pressure and…

数值分析 · 数学 2023-02-14 Alessia Lucca , Saray Busto , Michael Dumbser

Climate change and the rapid growth of urban populations are intensifying environmental stresses within cities, making the behavior of urban atmospheric flows a critical factor in public health, energy use, and overall livability. This…

机器学习 · 计算机科学 2026-03-19 Nishant Kumar , Franck Kerhervé , Lionel Agostini , Laurent Cordier

The existence of weak solutions to the Navier-Stokes-Fourier system describing the stationary states of a compressible, viscous, and heat conducting fluid in bounded 2D-domains is shown under fairly general and physically relevant…

偏微分方程分析 · 数学 2019-02-28 I. S. Ciuperca , E. Feireisl , M. Jai , A. Petrov

Accurately modeling the dynamics of high-density ratio ($\mathcal{O}(10^5)$) two-phase flows is important for many material science and manufacturing applications. This work considers numerical simulations of molten metal oscillations in…

流体动力学 · 物理学 2025-01-03 Ali Rabeh , Makrand A. Khanwale , John J. Lee , Baskar Ganapathysubramanian

A new exact solution of the Navier-Stokes equation is derived for the compressible flows which are far from equilibrium in the limit of extremely low shear viscosity and relatively large volume viscosity. The closed description of the…

流体动力学 · 物理学 2019-03-05 Sergey G. Chefranov , Artem S. Chefranov

This work is devoted to study the global behavior of viscous flows contained in a symmetric domain with complete slip boundary. In such scenario the boundary no longer provides friction and therefore the perturbation of angular velocity…

偏微分方程分析 · 数学 2016-12-26 Xin Liu

We solve a Bayesian inverse Reynolds-averaged Navier-Stokes (RANS) problem that assimilates mean flow data by jointly reconstructing the mean flow field and learning its unknown RANS parameters. We devise an algorithm that learns the most…

流体动力学 · 物理学 2024-12-17 A. Kontogiannis , P. Nair , M. Loecher , D. B. Ennis , A. Marsden , M. P. Juniper

In this article, we model Earth's lower small-scale eddies motion in the atmosphere as a compressible neutral fluid flow on a rotating sphere. To justify the model, we carried out a numerical computation of the thermodynamic and…

流体动力学 · 物理学 2024-09-04 Admasu Abawari , Yitagesu Elfaged

We use a method based on the lubrication approximation in conjunction with a residual-based mass-continuity iterative solution scheme to compute the flow rate and pressure field in distensible converging-diverging tubes for Navier-Stokes…

流体动力学 · 物理学 2015-04-30 Taha Sochi

This work develops, for the first time, a face-centred finite volume (FCFV) solver for the simulation of laminar and turbulent viscous incompressible flows. The formulation relies on the Reynolds-averaged Navier-Stokes (RANS) equations…

流体动力学 · 物理学 2024-09-20 Luan M. Vieira , Matteo Giacomini , Ruben Sevilla , Antonio Huerta

We study the problem of body-force driven shear flows in a plane channel of width l with free-slip boundaries. A mini-max variational problem for upper bounds on the bulk time averaged energy dissipation rate epsilon is derived from the…

混沌动力学 · 物理学 2009-11-10 Charles R. Doering , Bruno Eckhardt , Joerg Schumacher

We present a robust optimisation framework for computing invariant solutions of wall-bounded flows by recasting the Navier-Stokes equations as a variational problem as established in Ashtari and Schneider, JFM (2023). The approach minimises…

流体动力学 · 物理学 2026-04-14 Thomas Burton , Sean Symon , Davide Lasagna

Turbulence modeling is a classical approach to address the multiscale nature of fluid turbulence. Instead of resolving all scales of motion, which is currently mathematically and numerically intractable, reduced models that capture the…

流体动力学 · 物理学 2018-12-10 Rui Fang , David Sondak , Pavlos Protopapas , Sauro Succi

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