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A physics-based data-driven computational framework for the quantitative analysis of vortex kinematics and vortex-induced loads in vortex-dominated problems is presented. Such flows are characterized by the dominant influence of a small…

Fluid Dynamics · Physics 2021-07-28 Karthik Menon , Rajat Mittal

A phase proper orthogonal decomposition (Phase POD) method is demonstrated, utilizing phase averaging for the decomposition of spatio-temporal behaviour of statistically non-stationary turbulent flows in an optimized manner. The proposed…

Fluid Dynamics · Physics 2024-03-01 Yisheng Zhang , Azur Hodzic , Fabien Evrard , Berend Van Wachem , Clara M. Velte

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

This paper is devoted to the robust approximation with a variational phase field approach of multiphase mean curvature flows with possibly highly contrasted mobilities. The case of harmonically additive mobilities has been addressed…

Numerical Analysis · Mathematics 2022-09-20 Eric Bonnetier , Elie Bretin , Simon Masnou

Respiratory airflow signals provide critical insight into breathing mechanics, yet conventional analysis methods remain limited in their ability to characterize the internal structure of individual breaths. Traditional approaches treat…

Signal Processing · Electrical Eng. & Systems 2026-04-27 Victoria Ribeiro Rodrigues , Paul W. Davenport , Nicholas J. Napoli

In plasma turbulence theory, due to the complexity of the system with many non-linearly interacting waves, the dynamics of the phases is often disregarded and the so-called random-phase approximation (RPA) is used assuming the existence of…

Plasma Physics · Physics 2016-07-13 Sara Moradi , Johan Anderson

We propose a framework for a global description of the dynamics of complex flows via clusterized spatial representations of the flow, isolating and identifying local dynamics, retrieving different Space-Time Cluster-Based Network Models…

Fluid Dynamics · Physics 2026-01-09 Qihong L. Li-Hu , Guy Y. Cornejo Maceda , Andrea Ianiro , Stefano Discetti

The flow of incompressible fluids through porous media plays a crucial role in many technological applications such as enhanced oil recovery and geological carbon-dioxide sequestration. The flow within numerous natural and synthetic porous…

Computational Engineering, Finance, and Science · Computer Science 2018-05-23 S. H. S. Joodat , K. B. Nakshatrala , R. Ballarini

Traditional resolvent analysis is a powerful framework for identifying the most amplified input-output structures in fluid flows from a stationary base state. Extending this resolvent analysis to periodic base flows poses computational…

Dynamical Systems · Mathematics 2026-03-18 Max Howell , Sicheng He

Variational multiscale (VMS) methods offer a robust framework for handling under-resolved flow scales without resorting to problem-specific turbulence models. Here, we propose and assess a dynamic, term-by-term VMS stabilized formulation…

Fluid Dynamics · Physics 2026-02-06 Diego Escobar , Douglas Pacheco , Alejando Aguirre , Ernesto Castillo

Analytical/quasi-analytical solutions are proposed for a steady, compressible, single-phase flow in a rectilinear duct subjected to heating followed by cooling. The flow is driven by the pressure ratio between an upstream tank and a…

Fluid Dynamics · Physics 2024-03-05 S Schropff , F Petitpas , E Daniel

The phase reduction method for limit cycle oscillators subjected to weak perturbations has significantly contributed to theoretical investigations of rhythmic phenomena. We here propose a generalized phase reduction method that is also…

Pattern Formation and Solitons · Physics 2014-01-14 Wataru Kurebayashi , Sho Shirasaka , Hiroya Nakao

We consider the mixing of a viscous fluid by the rotation of a pitched blade turbine inside an open, cylindrical tank, with air as the lighter fluid above. To examine the flow and interfacial dynamics, we utilise a highly-parallelised…

Phase synchronization between the vortex shedding behind a two-dimensional circular cylinder and its vibrations is investigated using the phase-reduction analysis. Leveraging this approach enables the development of a one-dimensional,…

Fluid Dynamics · Physics 2021-03-24 M. A. Khodkar , Joseph T. Klamo , Kunihiko Taira

Adjoint-based sensitivity analysis is of interest in computational science due to its ability to compute sensitivities at a lower cost with respect to several design parameters. However, conventional sensitivity analysis methods fail in the…

Numerical Analysis · Mathematics 2025-07-15 Pranshul Thakur , Siva Nadarajah

For simulating incompressible flows by projection methods. it is generally accepted that the pressure-correction stage is the most time-consuming part of the flow solver. The objective of the present work is to develop a fast hybrid…

Fluid Dynamics · Physics 2023-06-05 Jiannong Fang

The present work demonstrates the use of resolvent analysis to obtain physical insights for open-cavity flows. Resolvent analysis identifies the flow response to harmonic forcing, given a steady base state, in terms of the response and…

Fluid Dynamics · Physics 2019-09-16 Yiyang Sun , Qiong Liu , Louis N. Cattafesta , Lawrence S. Ukeiley , Kunihiko Taira

A novel adjoint-based framework oriented to optimal flow control in compressible direct numerical simulations is presented. Also, a new formulation of the adjoint characteristic boundary conditions is introduced, which enhances the…

Computational Physics · Physics 2016-05-24 J. Javier Otero , Ati S. sharma , Richard D. Sandberg

We present a finite element based variational interface-preserving and conservative phase-field formulation for the modeling of incompressible two-phase flows with surface tension dynamics. The preservation of the hyperbolic tangent…

Computational Physics · Physics 2021-03-17 Xiaoyu Mao , Vaibhav Joshi , Rajeev Jaiman

Coherency misfit stresses and their related anisotropies are known to influence the equilibrium shapes of precipitates. Additionally, mechanical properties of the alloys are also dependent on the shapes of the precipitates. Therefore, in…

Materials Science · Physics 2018-08-29 Bhalchandra Bhadak , R. Sankarasubramanian , Abhik Choudhury