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We develop neural-network active flow controllers using a deep learning PDE augmentation method (DPM). The sensitivities for optimization are computed using adjoints of the governing equations without restriction on the terms that may…

流体动力学 · 物理学 2023-07-20 Xuemin Liu , Jonathan F. MacArt

A seismic wavefield reconstruction framework based on compressed sensing using the data-driven reduced-order model (ROM) is proposed and its characteristics are investigated through numerical experiments. The data-driven ROM is generated…

Cardio-mechanical models can be used to support clinical decision-making. Unfortunately, the substantial computational effort involved in many cardiac models hinders their application in the clinic, despite the fact that they may provide…

计算工程、金融与科学 · 计算机科学 2026-05-19 Robin Willems , Peter Förster , Sebastian Schöps , Olaf van der Sluis , Clemens V. Verhoosel

In this paper, we present a brief tutorial on reduced order model (ROM) closures. First, we carefully motivate the need for ROM closure modeling in under-resolved simulations. Then, we construct step by step the ROM closure model by…

数值分析 · 数学 2022-03-01 William Snyder , Changhong Mou , Honghu Liu , Omer San , Raffaella De Vita , Traian Iliescu

We propose a non-intrusive Deep Learning-based Reduced Order Model (DL-ROM) capable of capturing the complex dynamics of mechanical systems showing inertia and geometric nonlinearities. In the first phase, a limited number of high fidelity…

数值分析 · 数学 2021-11-25 Stefania Fresca , Giorgio Gobat , Patrick Fedeli , Attilio Frangi , Andrea Manzoni

Vortex-induced vibrations (VIV) pose computationally expensive problems of high practical interest to several engineering fields. In this work we develop a non-intrusive, reduced-order modelling methodology for two-dimensional (2D) VIV…

流体动力学 · 物理学 2024-04-04 Leonidas Gkimisis , Thomas Richter , Peter Benner

In this paper, we propose a novel reduced order model (ROM) lengthscale definition that is based on energy distribution arguments. This novel ROM lengthscale is fundamentally different from the current ROM lengthscales, which are generally…

流体动力学 · 物理学 2021-08-06 Changhong Mou , Elia Merzari , Omer San , Traian Iliescu

This article presents a Galerkin projection-based reduced-order modelling (ROM) approach for segregated fluid-structure interaction (FSI) problems, formulated within an Arbitrary Lagrangian Eulerian (ALE) framework at low Reynolds numbers…

数值分析 · 数学 2025-07-24 Valentin Nkana Ngan , Giovanni Stabile , Andrea Mola , Gianluigi Rozza

Physics-constrained data-driven computing is an emerging hybrid approach that integrates universal physical laws with data-driven models of experimental data for scientific computing. A new data-driven simulation approach coupled with a…

计算工程、金融与科学 · 计算机科学 2020-04-22 Qizhi He , Jiun-Shyan Chen

Piecewise-linear nonlinear systems appear in many engineering disciplines. Prediction of the dynamic behavior of such systems is of great importance from practical and theoretical viewpoint. In this paper, a data-driven model order…

动力系统 · 数学 2026-03-19 Akira Saito , Masato Tanaka

In this paper, we propose a novel ROM stabilization strategy for under-resolved convection-dominated flows, the approximate deconvolution Leray ROM (ADL-ROM). The new ADL-ROM introduces AD as a new means to increase the accuracy of the…

数值分析 · 数学 2023-08-30 Anna Sanfilippo , Ian Moore , Francesco Ballarin , Traian Iliescu

We develop a method for modeling and simulating a class of two-phase flows consisting of two immiscible incompressible dielectric fluids and their interactions with imposed external electric fields in two and three dimensions. We first…

数值分析 · 数学 2024-07-08 Jielin Yang , Ivan C. Christov , Suchuan Dong

We present a generalized form of open boundary conditions, and an associated numerical algorithm, for simulating incompressible flows involving open or outflow boundaries. The generalized form represents a family of open boundary…

流体动力学 · 物理学 2015-04-16 Suchuan Dong , Jie Shen

Vortex shedding around circular cylinders is a well known and studied phenomenon that appears in many engineering fields. A Reduced Order Model (ROM) of the incompressible flow around a circular cylinder is presented in this work. The ROM…

数值分析 · 数学 2018-02-06 Giovanni Stabile , Saddam Hijazi , Andrea Mola , Stefano Lorenzi , Gianluigi Rozza

Signed Distance Fields (SDFs) are a fundamental representation in robot motion planning. Their configuration-space counterpart, the Configuration Space Distance Field (CDF), directly encodes distances in joint space, offering a unified…

机器人学 · 计算机科学 2025-09-18 Mengzhu Li , Yunyu Zhou , He Ying , F. Richard Yu

In this paper, we propose a nonintrusive filter-based stabilization of reduced order models (ROMs) for uncertainty quantification (UQ) of the time-dependent Navier-Stokes equations in convection-dominated regimes. We propose a novel…

数值分析 · 数学 2018-10-23 M. Gunzburger , T. Iliescu , M. Mohebujjaman , M. Schneier

We explore a reduced-order model (ROM) of plane Couette flow with a view to performing turbulence control. The ROM is derived through Galerkin projections of the incompressible Navier-Stokes (NS) system onto a basis composed of…

流体动力学 · 物理学 2025-07-09 Igor A. Maia , André V. G. Cavalieri

Advancements in computational fluid mechanics have largely relied on Newtonian frameworks, particularly through the direct simulation of Navier-Stokes equations. In this work, we propose an alternative computational framework that employs…

流体动力学 · 物理学 2024-12-10 H. Sababha , A. Elmaradny , H. Taha , M. Daqaq

The increasing number of unmanned aerial vehicles (UAVs) in urban environments requires a strategy to minimize their environmental impact, both in terms of energy efficiency and noise reduction. In order to reduce these concerns, novel…

人工智能 · 计算机科学 2024-09-27 Federica Tonti , Jean Rabault , Ricardo Vinuesa

Hamiltonian operator inference has been developed in [Sharma, H., Wang, Z., Kramer, B., Physica D: Nonlinear Phenomena, 431, p.133122, 2022] to learn structure-preserving reduced-order models (ROMs) for Hamiltonian systems. The method…

数值分析 · 数学 2025-07-21 Yuwei Geng , Lili Ju , Boris Kramer , Zhu Wang