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Modeling rarefied hypersonic flows remains a fundamental challenge due to the breakdown of classical continuum assumptions in the transition-continuum regime, where the Knudsen number ranges from approximately 0.1 to 10. Conventional…

流体动力学 · 物理学 2026-03-03 Ashish S. Nair , Narendra Singh , Marco Panesi , Justin Sirignano , Jonathan F. MacArt

The work addresses 2D and 3D turbulent transonic flows past a wall with an expansion corner. A curved shock wave is formed upstream of a cylinder located above the corner. Numerical solutions of the Reynolds-averaged Navier-Stokes equations…

流体动力学 · 物理学 2015-03-31 Alexander Kuzmin

A novel mechanism is identified, through which a spanwise-invariant surface feature (a two-dimensional forward-facing step) significantly stabilizes the stationary crossflow instability of a three-dimensional boundary layer. The mechanism…

流体动力学 · 物理学 2023-10-06 Jordi Casacuberta , Stefan Hickel , Marios Kotsonis

We establish the optimal convergence rate to the hypersonic similarity law, which is also called the Mach number independence principle, for steady compressible full Euler flows over two-dimensional slender Lipschitz wedges. The problem can…

偏微分方程分析 · 数学 2024-07-01 Gui-Qiang G. Chen , Jie Kuang , Wei Xiang , Yongqian Zhang

In high-speed rotating channels, significant compressive effects are observed, resulting in distinct flow characteristics compared to incompressible flows. In this study, we employed a finite volume method based on the simple algorithm to…

流体动力学 · 物理学 2023-09-27 Junxin Che , Ruquan You , Wenbin Chen , Haiwang Li

The subject of this work is the instability mechanism of simple shear flows, like Hagen-Poiseuille pipe flow, which is a long-standing problem in fluid mechanics [1,2]. A possible analogy with phenomenological theory of ideal plasticity in…

流体动力学 · 物理学 2007-05-23 Sergey Ananiev

We study the linear stability of the flow of a viscous electrically conducting capillary fluid on a planar fixed plate in the presence of gravity and a uniform magnetic field. We first confirm that the Squire transformation for MHD is…

流体动力学 · 物理学 2017-05-24 D. Giannakis , R. Rosner , P. Fischer

This paper presents a method to stabilise oscillations occurring in a mixed convective flow in a nearly hemispherical cavity, using actuation based on the receptivity map of the unstable mode. This configuration models the continuous…

流体动力学 · 物理学 2025-06-18 Abhishek Kumar , Alban Pothérat

Surface patterns on ablating materials are observed in high-speed ground and flight tests, but the mechanisms behind their formation are not known. In this paper, the origin of surface patterns is investigated via a local linear stability…

流体动力学 · 物理学 2026-01-14 Blaine Vollmer , Alberto Padovan , Daniel J. Bodony

The stability of a flow of an electrically conducting, incompressible fluid in a channel with an imposed uniform wall-normal magnetic field and electrically insulating walls is studied using linear stability analysis and direct numerical…

流体动力学 · 物理学 2025-12-23 Roman Okatev , Oleg Zikanov , Dmitry Krasnov , Peter Frick

We investigate the convective stability of a thin, infinite fluid layer with a rectangular cross-section, subject to imposed heat fluxes at the top and bottom and fixed temperature along the vertical sides. The instability threshold depends…

We find three types of steady solutions and remarkable flow pattern transitions between them in a two-dimensional wavy-walled channel for low to moderate Reynolds (Re) and Weissenberg (Wi) numbers using direct numerical simulations with…

斑图形成与孤子 · 物理学 2010-09-21 Hiroki Yatou

Permeative flows, known for the explanation of the anomalous viscosity (10^5 Poise) in cholesterics at low shear rates, are still under debate due to the difficulty of experiments. Here we use the Surface Force Balance, in which uniform…

软凝聚态物质 · 物理学 2023-05-11 Weichao Zheng

The shock instability problem commonly arises in flow simulations involving strong shocks, particularly when employing high-order schemes, limiting their applications in hypersonic flow simulations. This study focuses on exploring the…

数值分析 · 数学 2023-08-08 Weijie Ren , Wenjia Xie , Ye Zhang , Hang Yu , Zhengyu Tian

Boundary layers in turbulent flows require fine grid spacings near the walls which depend on the choice of turbulence model. To satisfy these requirements a semi-structured mesh is generally used in this area with orthogonal and layered…

流体动力学 · 物理学 2014-05-06 Kedar C. Chitale , Michel Rasquin , Onkar Sahni , Mark S. Shephard , Kenneth E. Jansen

The accurate prediction of aerothermal surface loading is of paramount importance for the design of high speed flight vehicles. In this work, we consider the numerical solution of hypersonic flow over a double-finned geometry,…

流体动力学 · 物理学 2022-05-20 Lin Fu , Sanjeeb Bose , Parviz Moin

This paper is devoted to establishing the convergence rate of the hypersonic similarity for the inviscid steady irrotational Euler flow over a two-dimensional Lipschitz slender wedge in $BV\cap L^1$ space. The rate we established is the…

偏微分方程分析 · 数学 2021-07-27 Jie Kuang , Wei Xiang , Yongqian Zhang

It is well-known that at the high Reynolds number, the linearized Navier-Stokes equations around the inviscid stable shear profile admit growing mode solutions due to the destabilizing effect of the viscosity. This phenomenon, called…

偏微分方程分析 · 数学 2023-09-14 Andrew Yang , Zhu Zhang

We analyze a one-dimensional two-scalar fields reaction advection diffusion model for the globally subcritical transition to turbulence. In this model, the homogeneous turbulent state is disconnected from the laminar one and disappears in a…

流体动力学 · 物理学 2024-07-09 Pavan V. Kashyap , Juan F. Marìn , Yohann Duguet , Olivier Dauchot

Turbulent flows are fundamental in engineering and the environment, but their chaotic and three-dimensional (3-D) nature makes them computationally expensive to simulate. In this work, a dimensionality reduction technique is investigated to…

流体动力学 · 物理学 2020-12-16 Bernat Font