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We present a new method for the analysis of smoothly varying tapers, transitions and filters in rectangular waveguides. With this aim, we apply a Hierarchical Model (HiMod) reduction to the vector Helmholtz equation. We exploit a suitable…

We investigate the global frequency selection of two-dimensional vortex shedding in the flat plate wake. The analysis is based on the mean flow velocity profiles obtained from experimental measurements carried out for two values of Reynolds…

We perform an information-theoretic mode decomposition for separated aerodynamic flows. The current data-driven approach based on a neural network referred to as deep sigmoidal flow enables the extraction of an informative component from a…

Fluid Dynamics · Physics 2025-08-08 Kai Fukami , Ryo Araki

Photoemission orbital tomography (POT) is a powerful tool for investigating the orbitals and electronic band structure of oriented layers of organic molecules. In many cases, POT allows conclusions to be drawn regarding the geometric…

Accurate prediction of wake dynamics behind hydrofoils is critical for mitigating vortex-induced vibrations and improving the performance of hydraulic machinery. Conventional turbulence modeling approaches often struggle to capture the…

Fluid Dynamics · Physics 2026-01-30 Gabriele Gaiti , Chirag Trivedi , Kristian F. Sagmo

In this study, an efficient reanalysis strategy for dynamic topology optimization is proposed. Compared with other related studies, an online successive dynamic reanalysis method and POD-based approximate dynamic displacement strategy are…

Numerical Analysis · Mathematics 2023-05-16 Shuhao Li , Hu Wang , Jichao Yin , Daozhen Guo , Guangyao Li

Multiscale Proper Orthogonal Decomposition (mPOD) decomposes fluid flows into energy-optimal modes within prescribed frequency bands by combining Proper Orthogonal Decomposition with a multiresolution analysis (MRA). In its classical…

Fluid Dynamics · Physics 2026-04-15 Marek Belda , Lorenzo Schena , Romain Poletti , Martin Isoz , Tomáš Hyhlík , Miguel A. Mendez

Recently, researchers have investigated the relationship between proper orthogonal decomposition (POD), difference quotients (DQs), and pointwise in time error bounds for POD reduced order models of partial differential equations. In a…

Numerical Analysis · Mathematics 2023-09-08 Andrew Janes , John R. Singler

The KelvinHelmholtz (KH) instability is a fundamental wave instability that is frequently observed in all kinds of shear layer (jets, wakes, atmospheric air currents etc). The study of KH-instability, coherent flow structures has a major…

Computational Engineering, Finance, and Science · Computer Science 2015-03-29 Santosh Tirunagari

Effective stormwater treatment infrastructures are crucial for mitigating the adverse effects of runoff on urban water quality. However, designing cost-effective treatment systems can be challenging due to complex turbulent flow dynamics.…

Fluid Dynamics · Physics 2024-07-24 Haochen Li

Elastoinertial turbulence (EIT) is a chaotic flow resulting from the interplay between inertia and viscoelasticity in wall bounded shear flows. Understanding EIT is important because it is thought to set a limit on the effectiveness of…

Fluid Dynamics · Physics 2024-07-25 Manish Kumar , Michael D. Graham

Effect of large-scale vortical structure on mixing and spreading of shear layer is numerically investigated. Two strut configurations namely Straight & Tapered strut at two convective Mach numbers (Mc = 1.4 & 0.37) for two jet heights (0.6…

Fluid Dynamics · Physics 2021-01-29 Rahul Kumar Soni , Ashoke De

In this work, we study in detail the performance of Higher Order Dynamic Mode Decomposition (HODMD) technique when applied to echocardiography images. HODMD is a data-driven method generally used in fluid dynamics and in the analysis of…

Image and Video Processing · Electrical Eng. & Systems 2022-01-11 Nourelhouda Groun , Maria Villalba-Orero , Enrique Lara-Pezzi , Eusebio Valero , Jesus Garicano-Mena , Soledad Le Clainche

The use of spectral proper orthogonal decomposition (SPOD) to construct low-order models for broadband turbulent flows is explored. The choice of SPOD modes as basis vectors is motivated by their optimality and space-time coherence…

Fluid Dynamics · Physics 2021-09-22 Tianyi Chu , Oliver T. Schmidt

Hilbert-Huang transform is a method that has been introduced recently to decompose nonlinear, nonstationary time series into a sum of different modes, each one having a characteristic frequency. Here we show the first successful application…

Fluid Dynamics · Physics 2014-02-05 Y. X. Huang , Francois G. Schmitt , Z. M. Lu , Y. L. Liu

In chaotic deterministic systems, seemingly stochastic behavior is generated by relatively simple, though hidden, organizing rules and structures. Prominent among the tools used to characterize this complexity in 1D and 2D systems are…

Fluid Dynamics · Physics 2017-06-07 Spencer A. Smith , Joshua Arenson , Eric Roberts , Suzanne Sindi , Kevin A. Mitchell

We revisit recently published high-fidelity implicit large eddy simulation datasets obtained with a high-order discontinuous Galerkin spectral element method and analyse them using Proper Orthogonal Decomposition (POD) as well as Spectral…

Fluid Dynamics · Physics 2024-03-04 Christian Morsbach , Bjoern F. Klose , Michael Bergmann , Felix M. Möller

For the last 140 years, the mechanisms of transport and dissipation of energy in a turbulent flow have not been completely understood. Previous research has focused on analyzing the so-called coherent structures, organized flow patterns…

Fluid Dynamics · Physics 2025-10-20 Andrés Cremades , Sergio Hoyas , Ricardo Vinuesa

Astrophysical turbulent flows display an intrinsically multi-scale nature, making their numerical simulation and the subsequent analyses of simulated data a complex problem. In particular, two fundamental steps in the study of turbulent…

Instrumentation and Methods for Astrophysics · Physics 2024-07-10 David Vallés-Pérez , Susana Planelles , Vicent Quilis , Frederick Groth , Tirso Marin-Gilabert , Klaus Dolag

Partial differential equations (PDE) often involve parameters, such as viscosity or density. An analysis of the PDE may involve considering a large range of parameter values, as occurs in uncertainty quantification, control and…

Numerical Analysis · Mathematics 2017-09-28 Max Gunzburger , Nan Jiang , Michael Schneier