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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

The use of Deep Neural Network (DNN) models in risk-based decision-making has attracted extensive attention with broad applications in medical, finance, manufacturing, and quality control. To mitigate prediction-related risks in decision…

机器学习 · 统计学 2023-10-11 Maryam Kheirandish , Shengfan Zhang , Donald G. Catanzaro , Valeriu Crudu

In many areas of engineering, nonlinear numerical analysis is playing an increasingly important role in supporting the design and monitoring of structures. Whilst increasing computer resources have made such formerly prohibitive analyses…

数值分析 · 数学 2020-07-02 Thomas Simpson , Nikolaos Dervilis , Eleni Chatzi

The continuous casting tundish plays a critical role as a metallurgical reactor in the continuous casting process, with its flow characteristics serving as a key parameter in the production of high-quality steel. These characteristics are…

A data-driven, model-free framework is introduced for calculating Reduced-Order Models (ROMs) capable of accurately predicting time-mean responses to external forcings, or forcings needed for specified responses, e.g., for control, in fully…

流体动力学 · 物理学 2018-09-07 M. A. Khodkar , Pedram Hassanzadeh

We apply reduced-order modeling (ROM) techniques to single-phase flow in faulted porous media, accounting for changing rock properties and fault geometry variations using a radial basis function mesh deformation method. This approach…

数值分析 · 数学 2024-03-07 Enrico Ballini , Luca Formaggia , Alessio Fumagalli , Anna Scotti , Paolo Zunino

Spatiotemporally chaotic systems, such as the solutions of some nonlinear partial differential equations, are dynamical systems that evolve toward a lower dimensional manifold. This manifold has an intricate geometry with heterogeneous…

计算物理 · 物理学 2025-06-17 Antonio Colanera , Luca Magri

In analyzing and assessing the condition of dynamical systems, it is necessary to account for nonlinearity. Recent advances in computation have rendered previously computationally infeasible analyses readily executable on common computer…

计算工程、金融与科学 · 计算机科学 2021-09-24 Thomas Simpson , Nikolaos Dervilis , Eleni Chatzi

We present a comparative computational study of two stabilized Reduced Order Models (ROMs) for the simulation of convection-dominated incompressible flow (Reynolds number of the order of a few thousands). Representative solutions in the…

流体动力学 · 物理学 2024-05-01 Pierfrancesco Siena , Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

Optimization in engineering requires appropriate models. In this article, a regression method for enhancing the predictive power of a model by exploiting expert knowledge in the form of shape constraints, or more specifically, monotonicity…

Recent advancements in machine learning-based methods have demonstrated great potential for improved property prediction in material science. However, reliable estimation of the confidence intervals for the predicted values remains a…

机器学习 · 计算机科学 2025-01-28 Jiang Chang , Deekshith Basvoju , Aleksandar Vakanski , Indrajit Charit , Min Xian

Reliability-based design optimization (RBDO) approaches aim to identify the best design of an engineering problem, whilst the probability of failure (PoF) remains below an acceptable value. Thus, the incorporation of the sharpest bounds on…

计算工程、金融与科学 · 计算机科学 2025-03-18 Niklas Miska , Daniel Balzani

The use of Internet of Things (IoT) technologies is becoming a preferred solution for the assessment of tailings dams' safety. Real-time sensor monitoring proves to be a key tool for reducing the risk related to these ever-evolving…

计算工程、金融与科学 · 计算机科学 2021-06-08 Christina Nasikaa , Pedro Diez , Pierre Gerard , Thierry J. Massart , Sergio Zlotnik

The integration of reduced-order models (ROMs) with high-performance computing (HPC) is critical for developing digital twins, particularly for real-time monitoring and predictive maintenance of industrial systems. This paper presents a…

This work proposes novel techniques for the efficient numerical simulation of parameterized, unsteady partial differential equations. Projection-based reduced order models (ROMs) such as the reduced basis method employ a (Petrov-)Galerkin…

数值分析 · 数学 2023-12-05 Nicholas Mueller , Santiago Badia

In order to achieve a more virtual design and certification process of jet engines in aviation industry, the uncertainty bounds for computational fluid dynamics have to be known. This work shows the application of a machine learning…

计算工程、金融与科学 · 计算机科学 2022-02-07 Marcel Matha , Christian Morsbach

Stochastic simulation has been widely used to analyze the performance of complex stochastic systems and facilitate decision making in those systems. Stochastic simulation is driven by the input model, which is a collection of probability…

风险管理 · 定量金融 2020-02-14 Tianyi Liu , Enlu Zhou

The safety and integrity of engineered structures are critically dependent on maintaining sufficient preload in their bolted joints. This preload can be dynamically lost due to sustained vibrations or sudden shock that are large enough to…

动力系统 · 数学 2025-09-01 Qirui He , Rui Wang , Matthew J. Alexander , Keegan J. Moore

This work introduces a reduced order modeling (ROM) framework for the solution of parameterized second-order linear elliptic partial differential equations formulated on unfitted geometries. The goal is to construct efficient…

数值分析 · 数学 2025-10-14 Margarita Chasapi , Pablo Antolin , Annalisa Buffa

Statistical uncertainties complicate engineering design -- confounding regulated design approaches, and degrading the performance of reliability efforts. The simplest means to tackle this uncertainty is double loop simulation; a nested…

统计方法学 · 统计学 2018-11-02 Zachary del Rosario , Richard W. Fenrich , Gianluca Iaccarino