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High-fidelity large-eddy simulations are suitable to obtain insight into the complex flow dynamics in extended wind farms. In order to better understand these flow dynamics, we use dynamic mode decomposition (DMD) to analyze and reconstruct…

Fluid Dynamics · Physics 2022-04-26 Xuan Dai , Da Xu , Mengqi Zhang , Richard J. A. M. Stevens

We develop a data-driven characterization of the pilot-wave hydrodynamic system in which a bouncing droplet self-propels along the surface of a vibrating bath. We consider drop motion in a confined one-dimensional geometry, and apply the…

Fluid Dynamics · Physics 2022-10-14 J. Nathan Kutz , Andre Nachbin , Peter J. Baddoo , John W. M. Bush

This study deals with the process and benefits of generating aerodynamic indicial-admittance functions with the support of computational fluid dynamics based on the Euler equations. A simple parametric analytical approximation is alongside…

Fluid Dynamics · Physics 2020-01-22 Marcello Righi , Marco berci

We propose a simple, efficient, yet powerful framework for dense visual predictions based on the conditional diffusion pipeline. Our approach follows a "noise-to-map" generative paradigm for prediction by progressively removing noise from a…

Computer Vision and Pattern Recognition · Computer Science 2023-05-16 Yuanfeng Ji , Zhe Chen , Enze Xie , Lanqing Hong , Xihui Liu , Zhaoqiang Liu , Tong Lu , Zhenguo Li , Ping Luo

In this two-part article, we evaluate the utility and the generalizability of the Dynamic Mode Decomposition (DMD) algorithm for data-driven analysis and reduced-order modelling of plasma dynamics in cross-field ExB configurations. The DMD…

Plasma Physics · Physics 2023-08-29 Farbod Faraji , Maryam Reza , Aaron Knoll , J. Nathan Kutz

We investigate the feasibility of gradient-free aeroacoustic shape optimization using the Flux Reconstruction (FR) approach to study two-dimensional flow at low Reynolds numbers. The Overall Sound Pressure Level (OASPL) is computed via the…

Fluid Dynamics · Physics 2025-10-09 Mohsen Hamedi , Brian Vermeire

This paper proposes the method 2D-MoSub (2-dimensional model-based subspace method), which is a novel derivative-free optimization (DFO) method based on the subspace method for general unconstrained optimization and especially aims to solve…

Optimization and Control · Mathematics 2024-01-03 Pengcheng Xie , Ya-xiang Yuan

The CO2 capture efficiency in solvent-based carbon capture systems (CCSs) critically depends on the gas-solvent interfacial area (IA), making maximization of IA a foundational challenge in CCS design. While the IA associated with a…

Machine Learning · Computer Science 2021-12-23 Brian Bartoldson , Rui Wang , Yucheng Fu , David Widemann , Sam Nguyen , Jie Bao , Zhijie Xu , Brenda Ng

Computational fluid dynamics plays a key role in the design process across many industries. Recently, there has been increasing interest in data-driven methods, in order to exploit the large volume of data generated by such computations.…

Fluid Dynamics · Physics 2021-12-22 Ashley Scillitoe , Pranay Seshadri , Chun Yui Wong , Andrew B. Duncan

Reduced Order Models (ROMs) have been regarded as an efficient alternative to conventional high-fidelity Computational Fluid Dynamics (CFD) for accelerating the design and optimization processes in engineering applications. Many industrial…

Numerical Analysis · Mathematics 2026-01-15 Shenhui Ruan , Andreas G. Class , Gianluigi Rozza

Motivated by the idea of turbomachinery active subspace performance maps, this paper studies dimension reduction in turbomachinery 3D CFD simulations. First, we show that these subspaces exist across different blades---under the same…

Applications · Statistics 2019-10-22 Pranay Seshadri , Shaowu Yuchi , Shahrokh Shahpar , Geoffrey Parks

Accurate prediction of flow fields around underwater vehicles undergoing vertical-plane oblique motions is critical for hydrodynamic analysis, but it often requires computationally expensive CFD simulations. This study proposes a…

Fluid Dynamics · Physics 2026-01-07 Tianli Hu , Chengsheng Wu , Jun Ding , Xing Wang , Yu Yang , Jianchun Wang

We develop a new method which extends Dynamic Mode Decomposition (DMD) to incorporate the effect of control to extract low-order models from high-dimensional, complex systems. DMD finds spatial-temporal coherent modes, connects local-linear…

Optimization and Control · Mathematics 2014-09-24 Joshua L. Proctor , Steven L. Brunton , J. Nathan Kutz

Streamlined weirs which are a nature-inspired type of weir have gained tremendous attention among hydraulic engineers, mainly owing to their established performance with high discharge coefficients. Computational fluid dynamics (CFD) is…

Machine Learning · Computer Science 2022-04-13 Weibin Chen , Danial Sharifrazi , Guoxi Liang , Shahab S. Band , Kwok Wing Chau , Amir Mosavi

Prediction modelling of claim frequency is an important task for pricing and risk management in non-life insurance and needed to be updated frequently with the changes in the insured population, regulatory legislation and technology.…

Applications · Statistics 2023-01-10 Jiakun Jiang , Zhengxiao Li , Liang Yang

A weighted residual collocation methodology for simulating two-dimensional shear-driven and natural convection flows has been presented. Using a dyadic mesh refinement, the methodology generates a basis and a multiresolution scheme to…

Fluid Dynamics · Physics 2020-07-23 Jahrul Alam , Raymond Walsh , Alamgir Hossain , Andrew Rose

Diffusion model, the state-of-the-art generative machine learning architecture, has shown promising results airfoil inverse designs. In this study, we implemented and trained a series of diffusion models on three different airfoil geometry…

Fluid Dynamics · Physics 2026-01-26 Yingfan Geng , Jinhong Wang , Teng Cao

We apply a data-based, linear dynamic estimator to reconstruct the velocity field from measurements at a single sensor point in the wake of an aerofoil. In particular, we consider a NACA0012 airfoil at $Re=600$ and $16^{\deg}$ angle of…

Fluid Dynamics · Physics 2019-11-27 Juan Guzmán-Iñigo , Markus Sodar , George Papadakis

We extend the index-aware model-order reduction method to systems of nonlinear differential-algebraic equations with a special nonlinear term f(Ex), where E is a singular matrix. Such nonlinear differential-algebraic equations arise, for…

Numerical Analysis · Mathematics 2020-02-25 Nicodemus Banagaaya , Giuseppe Ali , Sara Grundel , Peter Benner

We propose a novel framework for learning a low-dimensional representation of data based on nonlinear dynamical systems, which we call dynamical dimension reduction (DDR). In the DDR model, each point is evolved via a nonlinear flow towards…

Machine Learning · Statistics 2022-04-19 Ryeongkyung Yoon , Braxton Osting