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Long-term time series forecasting (LTSF) is important for various domains but is confronted by challenges in handling the complex temporal-contextual relationships. As multivariate input models underperforming some recent univariate…

机器学习 · 统计学 2026-02-06 Jiecheng Lu , Xu Han , Shihao Yang

In this paper we introduce a novel Neural Networks-based approach for approximating solutions to the (2D) incompressible Navier--Stokes equations, which is an extension of so called Deep Random Vortex Methods (DRVM), that does not require…

流体动力学 · 物理学 2024-12-02 Vladislav Cherepanov , Sebastian W. Ertel

Obtainable computational efficiency is evaluated when using an Adaptive Mesh Refinement (AMR) strategy in time accurate simulations governed by sets of conservation laws. For a variety of 1D, 2D, and 3D hydro- and magnetohydrodynamic…

天体物理学 · 物理学 2009-11-10 R. Keppens , M. Nool , G. Toth , J. P. Goedbloed

Many problems in astrophysics cover multiple orders of magnitude in spatial and temporal scales. While simulating systems that experience rapid changes in these conditions, it is essential to adapt the (time-) step size to capture the…

天体物理仪器与方法 · 物理学 2025-02-19 Veronica Saz Ulibarrena , Simon Portegies Zwart

Accurate flood prediction is crucial for disaster prevention and mitigation. Hydrological data exhibit highly nonlinear temporal patterns and encompass complex spatial relationships between rainfall and flow. Existing flood prediction…

机器学习 · 计算机科学 2024-12-11 Jun Feng , Xueyi Liu , Jiamin Lu , Pingping Shao

Data assimilation (DA) enables hydrologic models to update their internal states using near-real-time observations for more accurate forecasts. With deep neural networks like long short-term memory (LSTM), using either lagged observations…

流体动力学 · 物理学 2025-02-25 Amirmoez Jamaat , Yalan Song , Farshid Rahmani , Jiangtao Liu , Kathryn Lawson , Chaopeng Shen

We present a space-time Cut Finite Element Method (CutFEM) for the time-dependent Navier-Stokes equations involving two immiscible incompressible fluids with different viscosities, densities, and with surface tension. The numerical method…

数值分析 · 数学 2019-03-27 Thomas Frachon , Sara Zahedi

The nonconvex and nonsmooth finite-sum optimization problem with linear constraint has attracted much attention in the fields of artificial intelligence, computer, and mathematics, due to its wide applications in machine learning and the…

最优化与控制 · 数学 2023-07-11 Yuxuan Zeng , Zhiguo Wang , Jianchao Bai , Xiaojing Shen

A stable partitioned algorithm is developed for fluid-structure interaction (FSI) problems involving viscous incompressible flow and rigid bodies. This {\em added-mass partitioned} (AMP) algorithm remains stable, without sub-iterations, for…

数值分析 · 数学 2017-06-07 J. W. Banks , W. D. Henshaw , D. W. Schwendeman , Qi Tang

Impacts of liquid droplets on wind turbine blade surfaces, for example sea sprays, can result in material damage through erosion. In this study, we derive an explicit, closed-form analytical approximation for droplet impact and subsequent…

流体动力学 · 物理学 2026-03-05 Hao Hao , Maria N. Charalambides , Yannis Hardalupas , Antonis Sergis , Alex M. K. P. Taylor

This proposed work introduces a data-assimilation-assisted approach to train neural networks, aimed at effectively reducing epistemic uncertainty in state estimates of separated flows. This method, referred to as model-consistent training,…

流体动力学 · 物理学 2024-08-02 Minghan Chu

A novel finite element framework is proposed for the numerical simulation of two phase flows with surface tension. The Level-Set (LS) method with piece-wise quadratic (P2) interpolation for the liquid-gas interface is used in order to reach…

计算工程、金融与科学 · 计算机科学 2020-10-27 Modesar Shakoor , Chung Hae Park

Accurate prediction of hypersonic flow fields over a compression ramp is critical for aerodynamic design but remains challenging due to the scarcity of experimental measurements such as velocity. This study systematically develops a data…

流体动力学 · 物理学 2025-11-26 Yuan Jia , Guoqin Zhao , Hao Ma , Xin Li , Chi Zhang , Chih-Yung Wen

Persistent monitoring of a spatiotemporal fluid process requires data sampling and predictive modeling of the process being monitored. In this paper we present PASST algorithm: Predictive-model based Adaptive Sampling of a Spatio-Temporal…

机器人学 · 计算机科学 2023-04-04 Sandeep Manjanna , Tom Z. Jiahao , M. Ani Hsieh

This paper presents a Long Short-Term Memory network-based Fluid Experiment Data-Driven model (FED-LSTM) for predicting unsteady, nonlinear hydrodynamic forces on the underwater quadruped robot we constructed. Trained on experimental data…

机器人学 · 计算机科学 2025-09-05 Fei Han , Pengming Guo , Hao Chen , Weikun Li , Jingbo Ren , Naijun Liu , Ning Yang , Dixia Fan

Purpose: Surgical workflow recognition enables context-aware assistance and skill assessment in computer-assisted interventions. Despite recent advances, current methods suffer from two critical challenges: prediction jitter across…

计算机视觉与模式识别 · 计算机科学 2025-12-23 Yueyao Chen , Kai-Ni Wang , Dario Tayupo , Arnaud Huaulm'e , Krystel Nyangoh Timoh , Pierre Jannin , Qi Dou

Alternating Direction Method of Multipliers (ADMM) is a popular method for solving large-scale Machine Learning problems. Stochastic ADMM was proposed to reduce the per iteration computational complexity, which is more suitable for big data…

数值分析 · 计算机科学 2023-04-25 Chao Zhang , Zebang Shen , Hui Qian , Tengfei Zhou , Jianya Zhou , Jianying Zhou

In several recently proposed stochastic optimization methods (e.g. RMSProp, Adam, Adadelta), parameter updates are scaled by the inverse square roots of exponential moving averages of squared past gradients. Maintaining these per-parameter…

机器学习 · 计算机科学 2018-04-13 Noam Shazeer , Mitchell Stern

This work presents a methodology to predict a near-optimal spacing function, which defines the element sizes, suitable to perform steady RANS turbulent viscous flow simulations. The strategy aims at utilising existing high fidelity…

计算工程、金融与科学 · 计算机科学 2024-06-25 Sergi Sanchez-Gamero , Oubay Hassan , Ruben Sevilla

Despite a cost-effective option in practical engineering, Reynolds-averaged Navier-Stokes simulations are facing the ever-growing demand for more accurate turbulence models. Recently, emerging machine learning techniques are making…

流体动力学 · 物理学 2021-05-04 Chao Jiang