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Related papers: Learning Reduced-Order Models for Cardiovascular S…

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Reduced order modeling has gained considerable attention in recent decades owing to the advantages offered in reduced computational times and multiple solutions for parametric problems. The focus of this manuscript is the application of…

Numerical Analysis · Mathematics 2018-11-21 Gianluigi Rozza , Haris Malik , Nicola Demo , Marco Tezzele , Michele Girfoglio , Giovanni Stabile , Andrea Mola

Machine learning (ML) and deep learning (DL) techniques have gained significant attention as reduced order models (ROMs) to computationally expensive structural analysis methods, such as finite element analysis (FEA). Graph neural network…

Machine Learning · Computer Science 2023-09-25 Yuecheng Cai , Jasmin Jelovica

The typical size of computational meshes needed for realistic geometries and high-speed flow conditions makes Computational Fluid Dynamics (CFD) impractical for full-mission performance prediction and control. Reduced-Order Models (ROMs) in…

Fluid Dynamics · Physics 2023-06-09 Haitz Sáez de Ocáriz Borde , Pietro Innocenzi , Flavio Savarino

Flow of cerebrospinal fluid in perivascular spaces is a key mechanism underlying brain transport and clearance. In this paper, we present a mathematical and numerical formalism for reduced models of pulsatile viscous fluid flow in networks…

Fluid Dynamics · Physics 2021-11-25 Cécile Daversin-Catty , Ingeborg G. Gjerde , Marie E. Rognes

Pressure and flow estimation in Water Distribution Networks (WDN) allows water management companies to optimize their control operations. For many years, mathematical simulation tools have been the most common approach to reconstructing an…

Machine Learning · Computer Science 2024-07-11 Huy Truong , Andrés Tello , Alexander Lazovik , Victoria Degeler

A new deep-learning-based reduced-order modeling (ROM) framework is proposed for application in subsurface flow simulation. The reduced-order model is based on an existing embed-to-control (E2C) framework and includes an auto-encoder, which…

Computational Physics · Physics 2019-06-11 Zhaoyang Larry Jin , Yimin Liu , Louis J. Durlofsky

Whereas direct numerical simulation (DNS) have reached a high level of description in the field of atomization processes, they are not yet able to cope with industrial needs since they lack resolution and are too costly. Predictive…

We propose a machine learning-based method to build a system of differential equations that approximates the dynamics of 3D electromechanical models for the human heart, accounting for the dependence on a set of parameters. Specifically,…

Numerical Analysis · Mathematics 2022-04-06 Francesco Regazzoni , Matteo Salvador , Luca Dedè , Alfio Quarteroni

This work introduces a new approach for accelerating the numerical analysis of time-domain partial differential equations (PDEs) governing complex physical systems. The methodology is based on a combination of a classical reduced-order…

Machine Learning · Computer Science 2024-06-06 Victor Matray , Faisal Amlani , Frédéric Feyel , David Néron

A reduced order model of a generic submarine is presented. Computational fluid dynamics (CFD) results are used to create and validate a model that includes depth dependence and the effect of waves on the craft. The model and the procedure…

Systems and Control · Electrical Eng. & Systems 2022-12-21 J. Ezequiel Martin , Maxwell Hammond , Nicholas Rober , Yakin Kim , Venanzio Cichella , Pablo Carrica

Generating computational anatomical models of cerebrovascular networks is vital for improving clinical practice and understanding brain oxygen transport. This is achieved by extracting graph-based representations based on pre-mapping of…

Quantitative Methods · Quantitative Biology 2019-12-23 Rafat Damseh , Patrick Delafontaine-Martel , Philippe Pouliot , Farida Cheriet , Frederic Lesage

In this work, we introduce an algorithmic approach to generate microvascular networks starting from larger vessels that can be reconstructed without noticeable segmentation errors. Contrary to larger vessels, the reconstruction of…

Computational Engineering, Finance, and Science · Computer Science 2020-07-10 Tobias Köppl , Ettore Vidotto , Barbara Wohlmuth

Reduced-order modelling and system identification can help us figure out the elementary degrees of freedom and the underlying mechanisms from the high-dimensional and nonlinear dynamics of fluid flow. Machine learning has brought new…

Fluid Dynamics · Physics 2021-04-13 Nan Deng , Luc R. Pastur , Bernd R. Noack

In this work the development of a machine learning-based Reduced Order Model (ROM) for the investigation of hemodynamics in a patient-specific configuration of Coronary Artery Bypass Graft (CABG) is proposed. The computational domain is…

Medical Physics · Physics 2023-08-08 Pierfrancesco Siena , Michele Girfoglio , Francesco Ballarin , Gianluigi Rozza

Cardiovascular diseases (CVDs) are the leading causes of mortality worldwide. The contraction and relaxation of left ventricle (LV) is the main driving force of blood circulation. Altered LV hemodynamics is believed to be associated with…

Medical Physics · Physics 2019-11-04 Fanwei Kong , Christoph Augustin , Kevin Sack , Shawn Shadden

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

A network community-based reduced-order model is developed to capture key interactions amongst coherent structures in high-dimensional unsteady vortical flows. The present approach is data-inspired and founded on network-theoretic…

Fluid Dynamics · Physics 2018-06-20 Muralikrishnan Gopalakrishnan Meena , Aditya G. Nair , Kunihiko Taira

We investigate the use of reduced-order modelling to run discrete element simulations at higher speeds. Taking a data-driven approach, we run many offline simulations in advance and train a model to predict the velocity field from the mass…

Computational Physics · Physics 2021-03-02 Erik Wallin , Martin Servin

We investigate model order reduction (MOR) strategies for simulating unsteady hemodynamics within cerebrovascular systems, contrasting a physics-based intrusive approach with a data-driven non-intrusive framework. High-fidelity 3D…

Numerical Analysis · Mathematics 2026-03-20 Rahul Halder , Arash Hajisharifi , Kabir Bakhshaei , Gianluigi Rozza

The numerical treatment of fluid-particle systems is a very challenging problem because of the complex coupling phenomena occurring between the two phases. Although accurate mathematical modelling is available to address this kind of…

Numerical Analysis · Mathematics 2024-03-22 Arash Hajisharifi , Rahul Halder , Michele Girfoglio , Andrea Beccari , Domenico Bonanni , Gianluigi Rozza