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The estimation of high-dimensional physical parameters constrained by partial differential equations (PDEs) from limited and indirect measurements is a highly ill-posed problem. Traditional methods face significant accuracy and efficiency…

Machine Learning · Computer Science 2026-02-03 Weijie Yang , Xun Zhang , Simin Jiang , Yubao Zhou

A novel method to estimate unsteady aerodynamic force coefficients from pointwise velocity measurements is presented. The methodology is based on a resolvent-based reduced-order model which requires the mean flow to obtain physical flow…

Fluid Dynamics · Physics 2016-09-21 F. Gómez , A. S. Sharma , H. M. Blackburn

A novel method to improve the accuracy of pressure field estimation from time-resolved Particle Image Velocimetry data is proposed. This method generates several new time-series of velocity field by propagating in time the original one…

Fluid Dynamics · Physics 2025-01-14 Junwei Chen , Marco Raiola , Stefano Discetti

Novel experimental modalities acquire spatially resolved velocity measurements for steady state and transient flows which are of interest for engineering and biological applications. One of the drawbacks of such high resolution velocity…

Numerical Analysis · Mathematics 2015-12-31 H. Egger , T. Seitz , C. Tropea

Particle Image Velocimetry (PIV) estimates velocities through correlations of particle images within interrogation windows, leading to a spatial modulation of the velocity field. Although in principle Particle Tracking Velocimetry (PTV)…

Fluid Dynamics · Physics 2023-02-14 Iacopo Tirelli , Andrea Ianiro , Stefano Discetti

This work aims to introduce a heuristic timestep-adaptive algorithm for Computational Fluid Dynamics (CFD) and Fluid-Structure Interaction (FSI) problems where the flow is dominated by the pressure. In such scenarios, many time-adaptive…

Numerical Analysis · Mathematics 2024-07-02 Ivan Prusak , Davide Torlo , Monica Nonino , Gianluigi Rozza

We construct new first- and second-order pressure correction schemes using the scalar auxiliary variable (SAV) approach for the Navier-Stokes equations. These schemes are linear, decoupled and only require a sequence of solving Poisson type…

Numerical Analysis · Mathematics 2020-02-24 Xiaoli Li , Jie Shen , Zhengguang Liu

We describe methods, tools, and a software library called LASPATED, available on GitHub (at https://github.com/vguigues/) to fit models using spatio-temporal data and space-time discretization. A video tutorial for this library is available…

Spectral methods are well suited for solving hydrodynamic problems in which the self-gravity of the flow needs to be considered. Because Poisson's equation is linear, the numerical solution for the gravitational potential for each…

Astrophysics · Physics 2008-11-26 Chi-kwan Chan , Dimitrios Psaltis , Feryal Ozel

The study of turbulent flows calls for measurements with high resolution both in space and in time. We propose a new approach to reconstruct High-Temporal-High-Spatial resolution velocity fields by combining two sources of information that…

Fluid Dynamics · Physics 2017-07-10 Linh Van Nguyen , Jean-Philippe Laval , Pierre Chainais

Magnetic resonance imaging (MRI) can estimate three-dimensional (3D) time-resolved relative pressure fields using 4D-flow MRI, thereby providing rich pressure field information. Clinical alternatives include catheterization and Doppler…

We formulate a physics-informed compressed sensing (PICS) method for the reconstruction of velocity fields from noisy and sparse phase-contrast magnetic resonance signals. The method solves an inverse Navier-Stokes boundary value problem,…

Computer Vision and Pattern Recognition · Computer Science 2023-01-04 Alexandros Kontogiannis , Matthew P. Juniper

We introduce a novel end-to-end approach to improving the resolution of PIV measurements. The method blends information from different snapshots without the need for time-resolved measurements on grounds of similarity of flow regions in…

Fluid Dynamics · Physics 2022-09-07 Iacopo Tirelli , Andrea Ianiro , Stefano Discetti

Particle Image Velocimetry (PIV) is an imaging technique in experimental fluid dynamics that quantifies flow fields around bluff bodies by analyzing the displacement of neutrally buoyant tracer particles immersed in the fluid. Traditional…

Fluid Dynamics · Physics 2025-12-15 Alan Bonomi , Francesco Banelli , Antonio Terpin

We consider a projection method for time-dependent incompressible Navier-Stokes equations with a total pressure boundary condition. The projection method is one of the numerical calculation methods for incompressible viscous fluids often…

Numerical Analysis · Mathematics 2021-06-03 Kazunori Matsui

We experimentally examine pressure-driven flows of 1%, 3%, and 5% dilute suspensions over and through a porous media model. The flow of non-colloidal, non-Brownian suspensions of rigid and spherical particles suspended in a Newtonian fluid…

Fluid Dynamics · Physics 2020-05-12 Eileen A. Haffner , Parisa Mirbod

In this paper the issue of the determination of the fluid pressure in incompressible fluids is addressed, with particular reference to the search of algorithms which permit to advance in time the fluid pressure without actually solving…

Fluid Dynamics · Physics 2007-05-23 Massimo Tessarotto , Marco Ellero , Necdet Aslan , Michael Mond , Piero Nicolini

We develop a method to estimate space-time flow statistics from a limited set of known data. While previous work has focused on modeling spatial or temporal statistics independently, space-time statistics carry fundamental information about…

Fluid Dynamics · Physics 2020-01-08 Aaron Towne , Adrian Lozano-Duran , Xiang Yang

An important tool for experimental fluids mechanics research is Particle Image Velocimetry (PIV). Several robust methodologies have been proposed to perform the estimation of velocity field from the images, however, alternative methods are…

Computer Vision and Pattern Recognition · Computer Science 2025-02-03 Efraín Magaña , Francisco Sahli Costabal , Wernher Brevis

We describe and characterize a method for estimating the pressure field corresponding to velocity field measurements, such as those obtained by using particle image velocimetry. The pressure gradient is estimated from a time series of…

Fluid Dynamics · Physics 2014-01-22 John O. Dabiri , Sanjeeb Bose , Brad J. Gemmell , Sean P. Colin , John H. Costello