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Triadic interactions are the fundamental mechanism of energy transfer in fluid flows. This work introduces bispectral mode decomposition as a direct means of educing flow structures that are associated with triadic interactions from…

Fluid Dynamics · Physics 2021-01-20 Oliver T. Schmidt

The transition from laminar to turbulent fluid motion occurring at large Reynolds numbers is generally associated with the instability of the laminar flow. On the other hand, since the turbulent flow characteristically appears in the form…

Fluid Dynamics · Physics 2013-09-27 Sergei F. Chekmarev

Transitional localised turbulence in shear flows is known to either decay to an absorbing laminar state or proliferate via splitting. The average passage times from one state to the other depend super-exponentially on the Reynolds number…

Fluid Dynamics · Physics 2022-05-12 S. Gomé , L. S. Tuckerman , D. Barkley

We present a novel approach to define the filter and relax steps in the evolve-filter-relax (EFR) framework for simulating turbulent flows. The EFR main advantages are its ease of implementation and computational efficiency. However, as it…

In this work, we investigate both numerically and theoretically the sound generated by entropy waves passing through sudden area expansions. The numerical approach is based on a triple decomposition of the flow variables into a steady mean,…

Fluid Dynamics · Physics 2022-09-28 Juan Guzmán-Iñigo , Dong Yang , Renaud Gaudron , Aimee S. Morgans

This paper proposes a transient stability-driven planning framework for the optimal sizing problem of resilient AC/DC hybrid microgrids (HMGs) under different types of contingencies, capturing frequency and voltage stability requirements as…

Systems and Control · Electrical Eng. & Systems 2025-07-24 Yi Wang , Goran Strbac

We present a data-driven feedforward control to attenuate large transient lift experienced by an airfoil disturbed by an extreme level of discrete vortex gust. The current analysis uses a nonlinear machine-learning technique to compress the…

Fluid Dynamics · Physics 2024-09-18 Kai Fukami , Hiroya Nakao , Kunihiko Taira

Through a discussion of some typical unsteady hydrodynamic flows, we argue that the time averaged hydrodynamic functions at each point give a rather sparse filling of the local jet space. This situation then suggests a set of time dependent…

Fluid Dynamics · Physics 2014-07-08 Clifford Chafin

Pseudo-spectral methods are widely used for direct numerical simulations of turbulence, but the standard 2/3 truncation rule for dealiasing is computationally expensive -- accounting for up to 80% of the total cost in three dimensions.…

Fluid Dynamics · Physics 2026-04-14 Clovis Lambert , Jason Reneuve , Pierre Augier

The current paper presents an experimental study of the energy budget of a two-dimensional internal wave attractor in a trapezoidal domain filled with uniformly stratified fluid. The injected energy flux and the dissipation rate are…

Fluid Dynamics · Physics 2021-02-10 Géraldine Davis , Thierry Dauxois , Timothée Jamin , Sylvain Joubaud

We study the governing equations for the motion of the fluid particles near air-water interface from an energetic point of view. Since evaporation and condensation phenomena occur at the interface, we have to consider phase transition. This…

Mathematical Physics · Physics 2024-01-10 Hajime Koba

A resolvent-based reduced-order representation is used to capture time-averaged second-order statistics in turbulent channel flow. The recently-proposed decomposition of the resolvent operator into two distinct families related to the…

Fluid Dynamics · Physics 2020-08-26 Ryan M. McMullen , Kevin Rosenberg , Beverley J. McKeon

Reduced-order models for flows that exhibit time-periodic behavior are critical for several tasks, including active control and optimization. One well-known procedure to obtain the desired reduced-order model in the proximity of a periodic…

Fluid Dynamics · Physics 2022-08-30 Alberto Padovan , Clarence W. Rowley

Inviscid invariants of flow equations are crucial in determining the direction of the turbulent energy cascade. In this work we investigate a variant of the three dimensional Navier-Stokes equations that shares exactly the same ideal…

Chaotic Dynamics · Physics 2017-04-25 Ganapati Sahoo , Alexandros Alexakis , Luca Biferale

We construct efficient original-energy-dissipative schemes for the Navier-Stokes-Darcy model and related two-phase flows using a prediction-correction framework. A new relaxation technique is incorporated in the correction step to guarantee…

Numerical Analysis · Mathematics 2026-02-03 Xiaoli Li , Jie Shen , Xinhui Wang

The mean-eddy interaction in a flow is investigated in terms of the energy transfer between its mean and eddy processes. In a Reynolds decomposition framework, energy transfer can be defined from the decomposed energy equations, but the…

Fluid Dynamics · Physics 2007-05-23 X. San Liang

Supersonic turbulent channels subjected to sudden spanwise acceleration at initial friction Reynolds numbers of approximately 500 and different Mach numbers are studied through direct numerical simulations. The response to the spanwise…

Fluid Dynamics · Physics 2026-01-14 Salvador Rey Gomez

We present the numerical operator method designed for the real time dynamics of currents through nanostructures beyond the linear response regime. We apply this method to the transient and stationary currents through nanostructures with…

Mesoscale and Nanoscale Physics · Physics 2014-03-26 Pei Wang , Xuean Zhao , Ling Tang

The existence of persistent midlatitude atmospheric flow regimes with time-scales larger than 5-10 days and indications of preferred transitions between them motivates to develop early warning indicators for such regime transitions. In this…

Chaotic Dynamics · Physics 2015-03-17 Alexis Tantet , Fiona R. van der Burgt , Henk A. Dijkstra

The flow of two macroscopically immiscible, viscous, incompressible fluids with unmatched densities is studied, where a transfer of mass between the constituents by phase transition is taken into account. To this end, two…

Analysis of PDEs · Mathematics 2025-05-09 Helmut Abels , Harald Garcke , Julia Wittmann
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