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In this paper, we study the contact line problem in a channel. Precisely, we consider the incompressible Navier-Stokes/Cahn-Hilliard system with eneralized Navier boundary condition and relaxation boundary condition in a channel, which is…

Analysis of PDEs · Mathematics 2024-11-12 Shijin Ding , Yinghua Li , Zhilin Lin , Yuanxiang Yan

In this paper we present an improved lattice Boltzmann model for compressible Navier-Stokes system with high Mach number. The model is composed of three components: (i) the discrete-velocity-model by Watari and Tsutahara [Phys Rev E…

Soft Condensed Matter · Physics 2009-11-13 Yanbiao Gan , Aiguo Xu , Guangcai Zhang , Xijun Yu , Yingjun Li

In this paper, we discuss a two-dimensional numerical study of isothermal high Mach number Bondi--Hoyle--Lyttleton flow around a small accretor. The flow is found to be unstable at high Mach numbers, with the instability appearing even for…

Astrophysics · Physics 2009-11-10 Richard Edgar

In this paper, we study the receptivity of non-modal perturbations in hypersonic boundary layers over a blunt wedge subject to freestream vortical, entropy and acoustic perturbations. Due to the absence of the Mack-mode instability and the…

Fluid Dynamics · Physics 2025-03-12 Lei Zhao , Ming Dong

In this paper, we investigate the effect of boundary surface roughness on numerical simulations of incompressible fluid flow past a cylinder in two and three spatial dimensions furnished with slip boundary conditions. The governing…

Fluid Dynamics · Physics 2025-11-05 Matthias Maier , Peter Munch , Murtazo Nazarov

This work studies two-dimensional fixed-flux Rayleigh-B\'enard convection with periodic boundary conditions in both horizontal and vertical directions and analyzes its dynamics using numerical continuation, secondary instability analysis…

Fluid Dynamics · Physics 2023-12-12 Chang Liu , Manjul Sharma , Keith Julien , Edgar Knobloch

A liquid-liquid two-phase Taylor-Couette flow is of fundamental and practical importance in multiphase flow systems. This study investigates the flow transitions in such a system with constant axial flow and gradually increased rotation of…

Fluid Dynamics · Physics 2025-09-01 Hayato Masuda , Yuta Kikuchi , Hiroyuki Iyota

Aspects of transition mechanisms on a $14^{\circ}$ sharp-nosed ogive-cylinder at Mach~$6$ are elucidated by considering linear and nonlinear disturbance evolution of freestream stochastic and wave packet forcing at different locations…

Fluid Dynamics · Physics 2022-10-12 Hemanth Goparaju , Kunal Kanawade , S Unnikrishnan , Datta V Gaitonde

Streamline tracing in conical hypersonic flows is essential for designing high-performance waverider and intake. Conventionally, the streamline equations are solved after obtaining the velocity field from the solution of the axisymmetric…

Fluid Dynamics · Physics 2024-03-20 Anagha G Rao , Umesh Siddarth U S , Srisha M V Rao

Generalized Navier-Stokes equations which were proposed recently to describe active turbulence in living fluids are analyzed rigorously. Results on wellposedness and stability in the $L^2(\mathbb{R}^n)$-setting are derived. Due to the…

Analysis of PDEs · Mathematics 2016-04-08 Florian Zanger , Hartmut Löwen , Jürgen Saal

In this work, the stability and transition to turbulence over a blunt flat plate with different leading-edge radii are investigated computationally. The freestream Mach number is 5, the unit Reynolds number is $6\times10^7$ m$^{-1}$, and…

Fluid Dynamics · Physics 2025-02-26 Peixu Guo , Jiaao Hao , Chih-Yung Wen

A parametric numerical study of three-dimensional instability of steady flows in a helical pipe of arbitrary curvature and torsion is carried out. The computations are performed by a numerical approach verified against independent…

Fluid Dynamics · Physics 2020-11-04 Alexander Gelfgat

In this paper, we justify the low Mach number limit of the steady irrotational Euler flows for the airfoil problem, which is the first result for the low Mach number limit of the steady Euler flows in an exterior domain. The uniform…

Analysis of PDEs · Mathematics 2019-01-15 Mingjie Li , Tian-Yi Wang , Wei Xiang

In the finite element analysis with fast decoupled time integration scheme for viscoelastic fluid (the Leonov model) flow, we investigate strong nonlinear behavior in 2D creeping contraction flow. The algorithm is applicable in the whole…

Fluid Dynamics · Physics 2011-11-02 Youngdon Kwon

High-speed turbulent flows are encountered in most space-related applications (including exploration, tourism and defense fields) and represent a subject of growing interest in the last decades. A major challenge in performing high-fidelity…

Fluid Dynamics · Physics 2021-03-31 Luca Sciacovelli , Donatella Passiatore , Paola Cinnella , Giuseppe Pascazio

The low Mach limit for 1D non-isentropic compressible Navier-Stokes flow, whose density and temperature have different asymptotic states at infinity, is rigorously justified. The problems are considered on both well-prepared and…

Analysis of PDEs · Mathematics 2016-10-28 Feimin Huang , Tian-Yi Wang , Yong Wang

We reveal the effects of sweep on the wake dynamics around NACA 0015 wings at high angles of attack using direct numerical simulations and resolvent analysis. The influence of sweep on the wake dynamics is considered for sweep angles from…

Fluid Dynamics · Physics 2022-06-13 Jean Hélder Marques Ribeiro , Chi-An Yeh , Kai Zhang , Kunihiko Taira

A flat-plate laminar boundary layer is simulated at Mach 6 and unit Reynolds number of 1.1e7 using the Direct Simulation Monte Carlo (DSMC) method to capture and analyze spontaneous second-mode instability growth. Power spectral density…

Fluid Dynamics · Physics 2025-12-15 Mert Senkardesler , Irmak T. Karpuzcu , Deborah A. Levin , Vassilis Theofilis

Contrasting with free shear flows presenting velocity profiles with inflection points which cascade to turbulence in a relatively mild way, wall bounded flows are deprived of (inertial) instability modes at low Reynolds numbers and become…

Fluid Dynamics · Physics 2009-11-13 Paul Manneville

We study the behavior of a fluid quenched from the disordered into the lamellar phase under the action of a shear flow. The dynamics of the system is described by Navier-Stokes and convection-diffusion equations with pressure tensor and…

Soft Condensed Matter · Physics 2009-11-11 Aiguo Xu , G. Gonnella , A. Lamura