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In this paper, we develop data-driven closure/correction terms to increase the pressure and velocity accuracy of reduced order models (ROMs) for fluid flows. Specifically, we propose the first pressure-based data-driven variational…

Numerical Analysis · Mathematics 2023-01-25 Anna Ivagnes , Giovanni Stabile , Andrea Mola , Traian Iliescu , Gianluigi Rozza

Construction of reduced-order models (ROMs) for hyperbolic conservation laws is notoriously challenging mainly due to the translational property and nonlinearity of the governing equations. While the Lagrangian framework for ROM…

Numerical Analysis · Mathematics 2020-03-30 Hannah Lu , Daniel M. Tartakovsky

High-fidelity Monte Carlo simulations and complex inverse problems, such as mapping smeared experimental observations to ground-truth states, are computationally intensive yet essential for robust data analysis. Conditional Flow Matching…

Machine Learning · Computer Science 2026-04-03 Zeyu Xia , Tyler Kim , Trevor Reed , Judy Fox , Geoffrey Fox , Adam Szczepaniak

Forecasting atmospheric flows with traditional discretization methods, also called full order methods (e.g., finite element methods or finite volume methods), is computationally expensive. We propose to reduce the computational cost with a…

Numerical Analysis · Mathematics 2025-04-03 Arash Hajisharifi , Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

This paper delivers a software -- libEMM -- for 3D controlled-source electromagnetics (CSEM) modelling in fictitious wave domain, based on the newly developed high-order finite-difference time-domain (FDTD) method on non-uniform grid. The…

Geophysics · Physics 2023-05-03 Pengliang Yang

In this article, we introduce, a novel open-source framework designed for efficient parallel computation of projections in tomography leveraging either multiple CPU cores or GPUs. This framework efficiently implements forward and back…

Medical Physics · Physics 2023-12-18 Georg Schramm , Kris Thielemans

Discrete Fracture and Matrix (DFM) models describe fractured porous media as complex sets of 2D planar polygons embedded in a 3D matrix representing the surrounding porous medium. The numerical simulation of the flow in a DFM requires the…

Numerical Analysis · Mathematics 2020-01-31 M. F. Benedetto , A. Borio , F. Kyburg , J. Mollica , S. Scialo

Modeling complex dynamical systems under varying conditions is computationally intensive, often rendering high-fidelity simulations intractable. Although reduced-order models (ROMs) offer a promising solution, current methods often struggle…

Machine Learning · Computer Science 2026-01-16 Andrew F. Ilersich , Kevin Course , Prasanth B. Nair

The volume of fluid (VOF) method is a popular approach for multiphase flow modeling. The open-source computational fluid dynamics (CFD) software, OpenFOAM, implements a variety of VOF-based solvers and provides users a wide range of…

Computational Physics · Physics 2019-09-02 Wenyuan Fan , Henryk Anglart

The ubiquity of fluids in the physical world explains the need to accurately simulate their dynamics for many scientific and engineering applications. Traditionally, well established but resource intensive CFD solvers provide such…

Machine Learning · Computer Science 2021-12-21 Lucas Meyer , Louen Pottier , Alejandro Ribes , Bruno Raffin

Numerous cutting-edge scientific technologies originate at the laboratory scale, but transitioning them to practical industry applications is a formidable challenge. Traditional pilot projects at intermediate scales are costly and…

Computational Engineering, Finance, and Science · Computer Science 2024-01-22 Seung Whan Chung , Youngsoo Choi , Pratanu Roy , Thomas Moore , Thomas Roy , Tiras Y. Lin , Du Y. Nguyen , Christopher Hahn , Eric B. Duoss , Sarah E. Baker

In this work, we present a multi-fidelity, physics-informed framework for tritium fuel cycle modelling based on the open-source PathSim/PathView platform. Three complementary modelling approaches are demonstrated within a unified dynamic…

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

Autoencoder-based reduced-order modeling (ROM) has recently attracted significant attention, owing to its ability to capture underlying nonlinear features. However, two critical drawbacks severely undermine its scalability to various…

Fluid Dynamics · Physics 2022-06-24 Yu-Eop Kang , Sunwoong Yang , Kwanjung Yee

Reduced-order models (ROMs) remain generally unreliable for convection-dominated problems, such as those encountered in hypersonic flows, due to the slowly decaying Kolmogorov $n$-width of linear subspace approximations, known as the…

Numerical Analysis · Mathematics 2025-03-25 Victor Zucatti , Matthew J. Zahr

We present GridFF, an efficient method for simulating molecules on rigid substrates, derived from techniques used in protein-ligand docking in biochemistry. By projecting molecule-substrate interactions onto precomputed spatial grids with…

Chemical Physics · Physics 2025-08-22 Indranil Mal , Milan Kočí , Paolo Nicolini , Prokop Hapala

The study of multiphase flows in porous media is fundamental to various fields, including oil recovery, CO2 sequestration, hydrogeology, and others. Accurate predictions of fluid behavior in these systems can enhance process efficiency…

Fluid Dynamics · Physics 2025-09-17 Roberto Lange , Gabriel M. Magalhães , Franciane F. Rocha , Hélio R. Neto

Reduced order models (ROMs) play a critical role in fluid mechanics by providing low-cost predictions, making them an attractive tool for engineering applications. However, for ROMs to be widely applicable, they must not only generalise…

Machine Learning · Computer Science 2025-05-06 Ismaël Zighed , Nicolas Thome , Patrick Gallinari , Taraneh Sayadi

Intracardiac flow patterns are shaped by the coupled motion of the cardiac chambers and heart valves and provide important information about cardiac function. However, clinical flow imaging remains limited by exam times, noise, resolution,…

Image and Video Processing · Electrical Eng. & Systems 2026-05-12 Fanwei Kong , Aaron Brown , Michael Loecher , Perry S. Choi , Lei Shi , Michael Ma , Daniel B. Ennis , Alison Marsden

Large Reasoning Models (LRMs) often reach a correct solution before their long Chain-of-Thought trace ends, yet continue with redundant verification, repeated attempts, or unnecessary exploration that wastes computation and can even…

Machine Learning · Computer Science 2026-05-12 Xinyan Wang , Xiaogeng Liu , Chaowei Xiao
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