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Dynamic mode decomposition (DMD) has emerged as a popular data-driven modeling approach to identifying spatio-temporal coherent structures in dynamical systems, owing to its strong relation with the Koopman operator. For dynamical systems…

Signal Processing · Electrical Eng. & Systems 2021-10-26 Manu Krishnan , Serkan Gugercin , Pablo A. Tarazaga

The paper studies the equilibrium configurations of inextensible elastic membranes exhibiting lateral fluidity. Using a continuum description of the membrane's motions based on the surface Navier--Stokes equations with bending forces, the…

Fluid Dynamics · Physics 2023-06-21 Maxim A. Olshanskii

A novel method to improve the accuracy of pressure field estimation from time-resolved Particle Image Velocimetry data is proposed. This method generates several new time-series of velocity field by propagating in time the original one…

Fluid Dynamics · Physics 2025-01-14 Junwei Chen , Marco Raiola , Stefano Discetti

Motivated by the ubiquity of turbulent flows in realistic conditions, effects of turbulent advection on two models of classical non-linear systems are investigated. In particular, we analyze model A (according to the Hohenberg-Halperin…

Statistical Mechanics · Physics 2018-11-06 M. Hnatič , G. Kalagov , T. Lučivjanský

This paper explores the friction forces encountered by droplets on non-wetting surfaces, specifically focusing on superhydrophobic and superheated substrates. Employing a combination of experimental techniques, including inclined plane…

Starting from a nonlinear 2D/1D fluid-structure interaction problem between a thin layer of a viscous fluid and a thin elastic structure, on the vanishing limit of the relative fluid thickness, we rigorously derive a sixth-order thin-film…

Analysis of PDEs · Mathematics 2022-07-27 Mario Bukal , Boris Muha

Drop deformation in fluid flows is investigated here as an exchange between the kinetic energy of the fluid and the surface energy of the drop. We show analytically that this energetic exchange is controlled only by the stretching (or…

Fluid Dynamics · Physics 2021-11-11 Alberto Vela-Martín , Marc Avila

Differential buoyancy surface sources in the ocean may induce a density-driven flow that joins faster flow components to create a multi-scale, 3D flow. Potential temperature and salinity are active tracers that determine the ocean's…

Geophysics · Physics 2022-08-10 Ori Saporta-Katz , Edriss S. Titi , Hezi Gildor , Vered Rom-Kedar

The aim of this paper is to study and classify the multiplicity of distinguished limits and asymptotic solutions for the advection equation with a general oscillating velocity field with the systematic use of the two-timing method. Our…

Fluid Dynamics · Physics 2016-05-10 V. A. Vladimirov

We investigate the unsteady lift response of compliant membrane wings in hovering kinematics by combining analytical inviscid theory with experimental results. An unsteady aerodynamic model is derived for a compliant thin aerofoil immersed…

Fluid Dynamics · Physics 2026-01-14 Sonya Tiomkin , Alexander Gehrke

Landslides are nearly ubiquitous phenomena and pose severe threats to people, properties, and the environment. Investigators have for long attempted to estimate landslide hazard to determine where, when, and how destructive landslides are…

Applications · Statistics 2019-12-04 Luigi Lombardo , Thomas Opitz , Francesca Ardizzone , Fausto Guzzetti , Raphaël Huser

We consider the viscous incompressible fluids in a three-dimensional horizontally periodic domain bounded below by a fixed smooth boundary and above by a free moving surface. The fluid dynamics are governed by the Navier-Stokes equations…

Analysis of PDEs · Mathematics 2024-04-30 Xing Cheng , Yunrui Zheng

Shockwaves provide a useful and rewarding route to the nonequilibrium properties of simple fluids far from equilibrium. For simplicity, we study a strong shockwave in a dense two-dimensional fluid. Here, our study of nonlinear transport…

Fluid Dynamics · Physics 2020-03-24 Wm. G. Hoover , Carol G. Hoover

We demonstrate that numerical solutions of Burgers' equation can be obtained by a scale-totality algorithm for fluids of small viscosity (down to one billionth). Two sets of initial data, modelling simple shears and wall boundary layers,…

Fluid Dynamics · Physics 2018-12-20 F. Lam

A partially hinged, partially free rectangular plate is considered, with the aim to address the possible unstable end behaviors of a suspension bridge subject to wind. This leads to a nonlinear plate evolution equation with a nonlocal…

Analysis of PDEs · Mathematics 2020-07-06 Denis Bonheure , Filippo Gazzola , Irena Lasiecka , Justin T. Webster

Erosion poses a great challenge in multi-phase mass flows as it drastically changes flow behavior and deposition pattern by dramatically increasing their masses, adversely affecting population and civil structures. There exists no…

Fluid Dynamics · Physics 2025-03-28 Shiva P. Pudasaini

Unsteadiness lies at the heart of turbulent fluid dynamics, eddy formation and instabilities in flows thus making it central to both understanding and controlling fluid systems. In this work, we present an objective measure for the…

Fluid Dynamics · Physics 2026-02-25 Florian Kogelbauer , Tiemo Pedergnana

A flexible membrane deforming its shape in time can self-propel in a viscous fluid. Alternatively, if the membrane is anchored, its deformation will lead to fluid transport. Past work in this area focused on situations where the deformation…

Soft Condensed Matter · Physics 2013-02-12 Arthur A. Evans , Eric Lauga

In this work, we investigate the dynamics of vortex-induced vibration of an elastically mounted cylinder with very low values of mass and damping. We use two methods to investigate this canonical problem: first we calculate the…

Landslide is a natural disaster that can easily threaten local ecology, people's lives and property. In this paper, we conduct modelling research on real unidirectional surface displacement data of recent landslides in the research area and…

Machine Learning · Computer Science 2023-07-25 Menglin Kong , Ruichen Li , Fan Liu , Xingquan Li , Juan Cheng , Muzhou Hou , Cong Cao
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