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We establish, for smooth enough initial data, the global well-posedness (existence, uniqueness and continuous dependence on initial data) of solutions, for an inviscid three-dimensional {\it slow limiting ocean dynamics} model. This model…

Analysis of PDEs · Mathematics 2013-11-26 Chongsheng Cao , Aseel Farhat , Edriss S. Titi

Rayleigh-Taylor (RT) instability commonly arises in compressible systems with time-dependent acceleration in practical applications. To capture the complex dynamics of such systems, a two-component discrete Boltzmann method is developed to…

Fluid Dynamics · Physics 2025-04-08 Huilin Lai , Chuandong Lin , Hao Xu , Hailong Liu , Demei Li , Bailing Chen

Direct numerical simulations two-way coupled with inertial particles are used to investigate the particle distribution and two-way coupling effect of low-inertia ($St_{LSM}=0.0625$, $St_{VLSM}=0.009$) and high-inertia ($St_{LSM}=0.475$,…

Fluid Dynamics · Physics 2019-06-06 Guiquan Wang , David Richter

Rayleigh-Taylor (RT) instabilities are prevalent in many physical regimes ranging from astrophysical to laboratory plasmas and have primarily been studied using fluid models, the majority of which have been ideal fluid models. This work is…

Plasma Physics · Physics 2022-07-13 John Rodman , Petr Cagas , Ammar Hakim , Bhuvana Srinivasan

When an elastic object is dragged through a viscous fluid tangent to a rigid boundary, it experiences a lift force perpendicular to its direction of motion. An analogous lift mechanism occurs when a rigid symmetric object translates…

Fluid Dynamics · Physics 2018-08-22 Abdallah Daddi-Moussa-Ider , Bhargav Rallabandi , Stephan Gekle , Howard A. Stone

Fixed-wing vertical take-off and landing (VTOL) aircraft pose a unique control challenge that stems from complex aerodynamic interactions between wings and rotors. Thus, accurate estimation of external forces is indispensable for achieving…

Robotics · Computer Science 2020-10-02 Xichen Shi , Patrick Spieler , Ellande Tang , Elena-Sorina Lupu , Phillip Tokumaru , Soon-Jo Chung

In recent years, open systems with balanced loss and gain, that are invariant under the combined parity and time-reversal ($\mathcal{PT}$) operations, have been studied via asymmetries of their solutions. They represent systems as diverse…

Fluid Dynamics · Physics 2014-12-23 Huidan , Yu , Xi Chen , Yousheng Xu , Yogesh N. Joglekar

We revisit force evaluation methodologies on rigid solid particles suspended in a viscous fluid and simulated via lattice Boltzmann method (LBM). We point out the non-commutativity of streaming and collision operators in the force…

Fluid Dynamics · Physics 2022-10-20 Shaurya Kaushal , Sauro Succi , Santosh Ansumali

Quantifying differences between flow fields is a key challenge in fluid mechanics, particularly when evaluating the effectiveness of flow control. Traditional vector metrics, such as the Euclidean distance, provide straightforward pointwise…

Fluid Dynamics · Physics 2025-11-12 Jonathan Quang Tran , Chi-An Yeh , Kunihiko Taira

Empirical observations show that turbulence exhibits a broad range of scaling exponents, characterizing how the velocity gradients diverge in the inviscid limit. These exponents are thought to be linked to singular solutions of the Euler…

Chaotic Dynamics · Physics 2025-11-11 Guillaume Costa , Amaury Barral , Adrien Lopez , Quentin Pikeroen , Bérengère Dubrulle

A new unsteady flamelet model is developed to be used for sub-grid modeling and coupling with the resolved flow description for turbulent combustion. Difficulties with prior unsteady flamelet models are identified. The model extends the…

Fluid Dynamics · Physics 2024-02-02 William A. Sirignano

A numerical study of the Kelvin-Helmholtz instability in compressible magnetohydrodynamics is presented. The three-dimensional simulations consider shear flow in a cylindrical jet configuration, embedded in a uniform magnetic field directed…

Astrophysics · Physics 2009-10-31 R. Keppens , G. Toth

We investigate by direct numerical simulations the flow that rising bubbles cause in an originally quiescent fluid. We employ the Eulerian-Lagrangian method with two-way coupling and periodic boundary conditions. In order to be able to…

Fluid Dynamics · Physics 2009-12-29 Irene Mazzitelli , Detlef Lohse

Large-eddy simulation (LES) of a turbulent flow through an array of building-like obstacles is an idealized model to study transport of contaminants in the urban atmospheric boundary layer (UABL). A reasonably accurate LES prediction of…

Fluid Dynamics · Physics 2017-11-09 Jahrul M Alam , Luke P. J. Fitzpatrick

Wrinkling of an inextensible elastic lining of an inner-lined tube under imposed pressure is considered. A simple equation modeling the elastic properties of the lining, the pressure, and the soft-substrate forces is derived. This equation…

Soft Condensed Matter · Physics 2022-01-20 Benjamin Foster , Nicolás Verschueren , Edgar Knobloch , Leonardo Gordillo

We show that vertical slender jets of liquid injected in air with a fully-developed outlet velocity profile have a universal shape in the common case in which the viscous force is much smaller than the gravitational force. The theory of…

Fluid Dynamics · Physics 2023-11-27 M. Beneitez , D. Moreno-Boza , A. Sevilla

Over the last two decades, both experiments and simulations have demonstrated that transverse wall oscillations with properly selected amplitude and frequency can reduce turbulent drag by as much as 40%. In this paper, we develop a…

Fluid Dynamics · Physics 2013-04-23 Rashad Moarref , Mihailo R. Jovanović

The Muskat problem models the filtration of two incompressible immiscible fluids of different characteristics in porous media. In this paper, we consider both the 2D and 3D setting of two fluids of different constant densities and different…

Analysis of PDEs · Mathematics 2019-05-02 Francisco Gancedo , Eduardo Garcia-Juarez , Neel Patel , Robert M. Strain

This study investigates a mechanism of controlling separated flows around an airfoil using a synthetic jet (SJ). A large-eddy simulation (LES) was performed for a leading-edge separation flow around a NACA0015 airfoil at the chord Reynolds…

Fluid Dynamics · Physics 2023-06-21 Yoshiaki Abe , Taku Nonomura , Kozo Fujii

Proper knowledge of velocity is required in accurately determining enormous destructive energy of a landslide. We present the first physics-based general analytical landslide velocity model that incorporates internal deformation and…

Geophysics · Physics 2022-06-17 Shiva P. Pudasaini , Michael Krautblatter