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We derive the Whitham modulation equations for the nonlinear Schr\"odinger equation in the plane (2d NLS) with small dispersion. The modulation equations are derived in terms of both physical and Riemann variables; the latter yields…

斑图形成与孤子 · 物理学 2021-09-21 Mark J. Ablowitz , Justin T. Cole , Igor Rumanov

This paper begins with a dynamical model that was obtained by applying a machine learning technique (FJet) to time-series data; this dynamical model is then analyzed with Lie symmetry techniques to obtain constants of motion. This analysis…

机器学习 · 计算机科学 2025-02-04 Michael F. Zimmer

The fast and accurate prediction of unsteady flow becomes a serious challenge in fluid dynamics, due to the high-dimensional and nonlinear characteristics. A novel hybrid deep neural network (DNN) architecture was designed to capture the…

流体动力学 · 物理学 2020-01-08 Renkun Han , Yixing Wang , Yang Zhang , Gang Chen

The natural wind environment that volant insects encounter is unsteady and highly complex, posing significant flight control and stability challenges. Unsteady airflows can range from structured chains of discrete vortices shed in the wake…

Accurate aircraft trajectory prediction is critical for air traffic management, airline operations, and environmental assessment. This paper introduces NODE-FDM, a Neural Ordinary Differential Equations-based Flight Dynamics Model trained…

机器学习 · 计算机科学 2025-09-30 Gabriel Jarry , Ramon Dalmau , Xavier Olive , Philippe Very

Vibration-based flow energy harvesting enables robust, in-situ energy extraction for low-power applications, such as distributed sensor networks. Fluid-structure instabilities dictate a harvester's viability since the structural response to…

流体动力学 · 物理学 2021-04-07 L. P. Tosi , B. Dorschner , T. Colonius

Two-dimensional free-surface flow over localised topography is examined with the emphasis on the stability of hydraulic-fall solutions. A Gaussian topography profile is assumed with a positive or negative amplitude modelling a bump or a…

流体动力学 · 物理学 2024-03-12 Jack S. Keeler , Mark G. Blyth

This work is concerned with practical stabilization of nonlinear systems by means of inf-convolution-based sample-and-hold control. It is a fairly general stabilization technique based on a generic non-smooth control Lyapunov function (CLF)…

系统与控制 · 电气工程与系统科学 2021-02-09 Patrick Schmidt , Pavel Osinenko , Stefan Streif

In laboratory studies and numerical simulations, we observe clear signatures of unstable time-periodic solutions in a moderately turbulent quasi-two-dimensional flow. We validate the dynamical relevance of such solutions by demonstrating…

流体动力学 · 物理学 2020-08-10 Balachandra Suri , Logan Kageorge , Roman O. Grigoriev , Michael F. Schatz

While many existing machine learning studies have focused on augmenting Reynolds averaged Navier Stokes (RANS) turbulence models for steady or time averaged unsteady flows, this paper takes a first step toward extending such augmentation to…

流体动力学 · 物理学 2025-11-25 Zilong Li , Lean Fang , Anupam Sharma , Ping He

Turbulent flows play an important role in many scientific and technological design problems. Both Sub-Grid Scale (SGS) models in Large Eddy Simulations (LES) and Reynolds Averaged Navier Stokes (RANS) based modeling will require turbulence…

流体动力学 · 物理学 2024-07-16 Minghan Chu

Supersonic flow simulations face challenges in trans-scale modeling, numerical stability, and complex field analysis due to inherent nonlinear, nonequilibrium, and multiscale characteristics. The discrete Boltzmann method (DBM) provides a…

流体动力学 · 物理学 2025-06-10 Yanhong Wu , Yanbiao Gan , Aiguo Xu , Bin Yang

Solving large complex partial differential equations (PDEs), such as those that arise in computational fluid dynamics (CFD), is a computationally expensive process. This has motivated the use of deep learning approaches to approximate the…

机器学习 · 计算机科学 2020-08-18 Filipe de Avila Belbute-Peres , Thomas D. Economon , J. Zico Kolter

Aeroelasticity in the transonic regime is challenging because of the strongly nonlinear phenomena involved in the formation of shock waves and flow separation. In this work, we introduce a computationally efficient framework for accurate…

流体动力学 · 物理学 2023-04-17 Nicola Fonzi , Steven L. Brunton , Urban Fasel

The present research is devoted to the problem of stability of the fluid flow moving in a channel with flexible walls and interacting with the walls, which are subject to traveling waves. Experimental data shows that the energy of the…

流体动力学 · 物理学 2021-01-01 Marianna A. Shubov , Madeline M. Edwards

The stability of idealized shear flow at long wavelengths is studied in detail. A hydrodynamic analysis at the level of the Navier-Stokes equation for small shear rates is given to identify the origin and universality of an instability at…

凝聚态物理 · 物理学 2009-10-30 Jose M. Montanero , Andres Santos , Mirim Lee , James W. Dufty , J. F. Lutsko

We derive a new method to infer from data the out-of-equilibrium alignment dynamics of collectively moving animal groups, by considering the maximum entropy distribution consistent with temporal and spatial correlations of flight direction.…

The dynamics and stability of a fluid-filled hollow cylindrical shell rolling on an inclined plane are analyzed. We study the motion in two dimensions by analyzing the interaction between the fluid and the cylindrical shell. An analytical…

流体动力学 · 物理学 2014-12-02 Rohit B. Supekar , Mahesh V. Panchagnula

We consider the stability of a system of equations which are a singular perturbation of the incompressible rigid-plastic flow equations used to model granular flow. A linear stability analysis shows that solutions of these equations are…

软凝聚态物质 · 物理学 2007-05-23 Shaun Hendy

We propose a simple method to identify unstable parameter regions in general inviscid unidirectional shear flow stability problems. The theory is applicable to a wide range of basic flows, including those that are non-monotonic. We…

流体动力学 · 物理学 2024-07-30 Kengo Deguchi , Makoto Hirota , Timothy Dowling