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Reduced-order models (ROMs) allow for the simulation of blood flow in patient-specific vasculatures without the high computational cost and wait time associated with traditional computational fluid dynamics (CFD) models. Unfortunately, due…

Computational Engineering, Finance, and Science · Computer Science 2024-02-27 Natalia L. Rubio , Luca Pegolotti , Martin R. Pfaller , Eric F. Darve , Alison L. Marsden

Bounds on turbulent averages in shear flows can be derived from the Navier--Stokes equations by a mathematical approach called the background method. Bounds that are optimal within this method can be computed at each Reynolds number Re by…

Fluid Dynamics · Physics 2026-01-14 Farid Rajkotia-Zaheer , David Goluskin

The control of stream-wise vortices in high Reynolds number boundary layer flows often aims at reducing the vortex energy as a means of mitigating the growth of secondary instabilities, which eventually delay the transition from laminar to…

Fluid Dynamics · Physics 2018-07-04 Adrian Sescu , Mohammed Afsar

The relationship between the polymer orientation and the chaotic flow, in a dilute solution of rigid rodlike polymers at low Reynolds number, is investigated by means of direct numerical simulations. It is found that the rods tend to align…

Fluid Dynamics · Physics 2024-09-12 Leonardo Puggioni , Stefano Musacchio

A new model order reduction approach is proposed for parametric steady-state nonlinear fluid flows characterized by shocks and discontinuities whose spatial locations and orientations are strongly parameter dependent. In this method,…

Fluid Dynamics · Physics 2019-01-04 Nirmal J. Nair , Maciej Balajewicz

Non-invasive measurement of the arterial blood speed gives rise to important healthinformation such as cardio output and blood supplies to vital organs. The magnitude andchange in arterial blood speed are key indicators of the health…

Medical Physics · Physics 2021-10-22 Alex Ce Zhang , Yu-Hwa Lo

This chapter provides an extended overview about Reduced Order Models (ROMs), with a focus on their features in terms of efficiency and accuracy. In particular, the aim is to browse the more common ROM frameworks, considering both intrusive…

Numerical Analysis · Mathematics 2024-09-04 Pierfrancesco Siena , Paquale Claudio Africa , Michele Girfoglio , Gianluigi Rozza

This paper focuses on a new framework for reduced order modelling of non-intrusive data with application to 2D flows. To overcome the shortcomings of intrusive model order reduction usually derived by combining the POD and the Galerkin…

Numerical Analysis · Mathematics 2016-11-16 D. A. Bistrian , I. M. Navon

The numerical simulation of incompressible flows is challenging due to the tight coupling of velocity and pressure. Projection methods offer an effective solution by decoupling these variables, making them suitable for large-scale…

Numerical Analysis · Mathematics 2025-12-12 Mejdi Azaïez , Yayu Guo , Carlos Núñez Fernández , Samuele Rubino , Chuanju Xu

The computational cost of parametric studies currently represents the major limitation to the application of simulation-based engineering techniques in a daily industrial environment. This work presents the first nonintrusive implementation…

Numerical Analysis · Mathematics 2020-02-05 Vasileios Tsiolakis , Matteo Giacomini , Ruben Sevilla , Carsten Othmer , Antonio Huerta

This paper considers the problem of regulating a linear dynamical system to the solution of a convex optimization problem with an unknown or partially-known cost. We design a data-driven feedback controller - based on gradient flow dynamics…

Optimization and Control · Mathematics 2022-04-05 Liliaokeawawa Cothren , Gianluca Bianchin , Emiliano Dall'Anese

Left ventricular assist devices (LVADs) are used to provide haemodynamic support to patients with critical cardiac failure. Severe complications can occur because of the modifications of the blood flow in the aortic region. In this work,…

In this paper, we propose a graph neural network architecture to solve the AC power flow problem under realistic constraints. To ensure a safe and resilient operation of distribution grids, AC power flow calculations are the means of choice…

Machine Learning · Computer Science 2023-08-31 Luis Böttcher , Hinrikus Wolf , Bastian Jung , Philipp Lutat , Marc Trageser , Oliver Pohl , Andreas Ulbig , Martin Grohe

Regularized optimal mass transport (rOMT) problem adds a diffusion term to the continuity equation in the original dynamic formulation of the optimal mass transport (OMT) problem proposed by Benamou and Brenier. We show that the rOMT model…

Numerical Analysis · Mathematics 2022-01-20 Xinan Chen , Anh Phong Tran , Rena Elkin , Helene Benveniste , Allen R. Tannenbaum

The manipulation of a collection of fluid particles in a low Reynolds number environment has several important applications. As we demonstrate in this paper, this manipulation problem is related to the scientific question of how fluid flow…

Fluid Dynamics · Physics 2024-02-27 Jake Buzhardt , Phanindra Tallapragada

It's difficult to accurately predict the flow with shock waves over an aircraft due to the flow's strongly nonlinear characteristics. In this study, we propose an accuracy-enhanced flow prediction method that fuses deep learning and…

Fluid Dynamics · Physics 2024-05-27 Xuyi Jia , Chunlin Gong , Wen Ji , Chunna Li

The optimal control of thermally convective flows is usually modeled by an optimization problem with constraints of Boussinesq equations that consist of the Navier-Stokes equation and an advection-diffusion equation. This optimal control…

Optimization and Control · Mathematics 2022-11-29 Yongcun Song , Xiaoming Yuan , Hangrui Yue

The underlying mechanisms of three different flow-control strategies on drag reduction in a channel flow are investigated by direct numerical simulations at friction Reynolds numbers ranging from 65 to 85. These strategies include the…

Fluid Dynamics · Physics 2021-10-27 Alex Rogge , Jae Sung Park

Through legislation and technical advances users gain more control over how their data is processed, and they expect online services to respect their privacy choices and preferences. However, data may be processed for many different…

Databases · Computer Science 2024-03-19 Dorota Filipczuk , Enrico H. Gerding , George Konstantinidis

Optical flow is a fundamental technique for motion estimation, widely applied in video stabilization, interpolation, and object tracking. Traditional optical flow estimation methods rely on restrictive assumptions like brightness constancy…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Yu-Hsi Chen , Chin-Tien Wu