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The stretched exponential relaxation function is used to analyze the relaxation of the glassy state data. Due to the singularity of this function at the origin, this function is inconvenient for data analysis. Concerning this, a Prony…

数值分析 · 数学 2025-12-02 Shuli Chen , Marrten V. de Hoop , Youjun Deng , Ching-Lung Lin , Gen Nakamura

The evolve-filter (EF) model is a filter-based numerical stabilization for under-resolved convection-dominated flows. EF is a simple, modular, and effective strategy for both full-order models (FOMs) and reduced-order models (ROMs). It is…

We present a one-equation subgrid scale model that evolves the turbulence energy corresponding to unresolved velocity fluctuations in large eddy simulations. The model is derived in the context of the Germano consistent decomposition of the…

天体物理学 · 物理学 2009-11-11 W. Schmidt , J. C. Niemeyer , W. Hillebrandt

An adaptive scheme to generate reduced-order models for parametric nonlinear dynamical systems is proposed. It aims to automatize the POD-Greedy algorithm combined with empirical interpolation. At each iteration, it is able to adaptively…

数值分析 · 数学 2021-10-13 Sridhar Chellappa , Lihong Feng , Peter Benner

We propose a novel method to quantify artificial dissipation in large eddy simulation. Here, artificial dissipation is defined as the residual of the discrete turbulent kinetic energy (TKE) equation. This method is applied to turbulent…

流体动力学 · 物理学 2025-03-03 Jing Sun , Roel Verstappen

Reactive anomaly detection methods, which are commonly deployed to identify anomalies after they occur based on observed deviations, often fall short in applications that demand timely intervention, such as industrial monitoring, finance,…

机器学习 · 计算机科学 2026-02-13 Luis Olmos , Rashida Hasan

Fractional-order stochastic gradient descent (FOSGD) leverages fractional exponents to capture long-memory effects in optimization. However, its utility is often limited by the difficulty of tuning and stabilizing these exponents. We…

机器学习 · 计算机科学 2025-05-09 Mohammad Partohaghighi , Roummel Marcia , YangQuan Chen

There has been an increasing interest in developing efficient immersed boundary method (IBM) based on Cartesian grids, recently in the context of high-order methods. IBM based on volume penalization is a robust and easy to implement method…

数值分析 · 数学 2021-07-22 Jiaqing Kou , Esteban Ferrer

This paper proposes a large eddy simulation reduced order model(LES-ROM) framework for the numerical simulation of realistic flows. In this LES-ROM framework, the proper orthogonal decomposition(POD) is used to define the ROM basis and a…

流体动力学 · 物理学 2015-10-12 Xuping Xie , David Wells , Zhu Wang , Traian Iliescu

Generally, reduced order models of fluid flows are obtained by projecting the Navier-Stokes equations onto a reduced subspace spanned by vector functions that carry the meaningful information of the dynamics. A common method to generate…

流体动力学 · 物理学 2023-09-22 M. Oulghelou , A. Ammar , R. Ayoub

The recent development of deep learning large models in medicine shows remarkable performance in medical image analysis and diagnosis, but their large number of parameters causes memory and inference latency challenges. Knowledge…

计算机视觉与模式识别 · 计算机科学 2024-09-19 Shaojie Li , Zhaoshuo Diao

Recently, a new approach for the stabilization of the incompressible Navier-Stokes equations for higher Reynolds numbers was introduced based on the nonlinear differential filtering of solutions on every time step of a discrete scheme. In…

数值分析 · 数学 2013-04-16 Maxim A. Olshanskii , Xin Xiong

In this work we present a reduced basis Smagorinsky turbulence model for steady flows. We approximate the non-linear eddy diffusion term using the Empirical Interpolation Method, and the velocity-pressure unknowns by an independent…

A sensitive porosity adjoint method (SPAM) for optimizing the topology of fluid machines has been proposed. A sensitivity function with respect to the porosity has been developed. In the first step of the optimization process, porous media…

流体动力学 · 物理学 2015-12-29 B. Philippi , Y. Jin

The main goal of this work is to develop a data-driven Reduced Order Model (ROM) strategy from high-fidelity simulation result data of a Full Order Model (FOM). The goal is to predict at lower computational cost the time evolution of…

计算工程、金融与科学 · 计算机科学 2024-09-02 Azzeddine Tiba , Thibault Dairay , Florian de Vuyst , Iraj Mortazavi , Juan-Pedro Berro Ramirez

The Weak form Estimation of Nonlinear Dynamics (WENDy) method is a recently proposed class of parameter estimation algorithms that exhibits notable noise robustness and computational efficiency. This work examines the coverage and bias…

统计方法学 · 统计学 2025-10-07 Abhi Chawla , David M. Bortz , Vanja Dukic

Searches for impulsive, astrophysical transients are often highly computationally demanding. A notable example is the dedispersion process required for performing blind searches for Fast Radio Bursts (FRBs) in radio telescope data. We…

天体物理仪器与方法 · 物理学 2024-12-17 Vivek Gupta , Keith Bannister , Chris Flynn , Clancy James

Large Eddy Simulation (LES) of turbulent non-Newtonian flows involves two additional closures, namely the Non-Newtonian SubGrid-Scale (NNSGS) stress tensor and filtered viscosity. Here, dynamic closures are proposed for NNSGS, eliminating…

流体动力学 · 物理学 2025-11-14 E. Amani , A. Ahmadpour , M. J. Aghajari

We investigate a hierarchy of eddy-viscosity terms in POD Galerkin models to account for a large fraction of unresolved fluctuation energy. These Galerkin methods are applied to Large Eddy Simulation data for a flow around the vehicle-like…

流体动力学 · 物理学 2015-06-17 Jan Östh , Bernd R. Noack , Siniša Krajnović , Diogo Barros , Jacques Borée

In this article, we utilize machine learning to dynamically determine if a point on the computational grid requires implicit numerical dissipation for large eddy simulation (LES). The decision making process is learnt through \emph{a…

流体动力学 · 物理学 2019-02-07 Romit Maulik , Omer San , Jamey D Jacob