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In Wang & Pan (J. Fluid Mech., vol. 918, A19, 2021), the authors developed the first ensemble-based data assimilation (DA) capability for the reconstruction and forecast of ocean surface waves, namely the EnKF-HOS method coupling an…

Fluid Dynamics · Physics 2022-10-12 Guangyao Wang , Jinfeng Zhang , Yuxiang Ma , Qinghe Zhang , Zhilin Li , Yulin Pan

Through ensemble-based data assimilation (DA), we address one of the most notorious difficulties in phase-resolved ocean wave forecast, regarding the deviation of numerical solution from the true surface elevation due to the chaotic nature…

Atmospheric and Oceanic Physics · Physics 2021-07-01 Guangyao Wang , Yulin Pan

This paper proposes a new data assimilation method for recovering high fidelity turbulent flow field around airfoil at high Reynolds numbers based on experimental data, which is called Proper Orthogonal Decomposition Inversion…

Fluid Dynamics · Physics 2020-07-14 Yilang Liu , Weiwei Zhang

This paper applies variational data assimilation to inundation problems governed by the shallow water equations with wetting and drying. The objective of the assimilation is to recover an unknown time-varying wave profile at an open ocean…

Fluid Dynamics · Physics 2017-06-07 S. W Funke , P. E Farrell , M. D. Piggott

To simulate the interaction of ocean waves with marine structures, coupling approaches between a potential flow model and a viscous model are investigated. The first model is a fully nonlinear potential flow (FNPF) model based on the…

Fluid Dynamics · Physics 2022-06-22 Fabien Robaux , Michel Benoit

The error analysis of a proper orthogonal decomposition (POD) data assimilation (DA) scheme for the Navier-Stokes equations is carried out. A grad-div stabilization term is added to the formulation of the POD method. Error bounds with…

Numerical Analysis · Mathematics 2020-04-21 Bosco García Archilla , Julia Novo , Samuele Rubino

This study develops a hybrid ensemble-variational approach for solving data assimilation problems. The method, called TR-4D-EnKF, is based on a trust region framework and consists of three computational steps. First an ensemble of model…

Numerical Analysis · Computer Science 2015-02-03 Elias D. Nino , Adrian Sandu

This paper proposes an efficient potential and viscous flow decomposition method for wave-structure interaction simulation with single-phase potential flow wave models and two-phase Computational Fluid Dynamics (CFD) solvers. The potential…

This work presents a fast, uncertainty-aware sequential data assimilation framework for estimating key aerodynamic states (e.g., instantaneous vorticity fields and aerodynamic loads) during severe gust encounters, where vortex-gust…

Fluid Dynamics · Physics 2026-03-20 Hanieh Mousavi , Anya Jones , Jeff Eldredge

The Ensemble Kalman Filter (EnKF), as a fundamental data assimilation approach, has been widely used in many fields of the sciences and engineering. When the state variable is of high dimensional accompanied with high resolution…

Methodology · Statistics 2025-09-18 Shouxia Wang , Hao-Xuan Sun , Song Xi Chen

The paper presents a strategy to construct an incremental Singular Value Decomposition (SVD) for time-evolving, spatially 3D discrete data sets. A low memory access procedure for reducing and deploying the snapshot data is presented.…

Mathematical Software · Computer Science 2023-02-21 Niklas Kühl , Hendrik Fischer , Michael Hinze , Thomas Rung

The present study aims to extend the applicability of the static-boundary absorption method in phase-resolving CFD simulations outside the conventional shallow-water waves limit. Even though this method was originally formulated for…

Fluid Dynamics · Physics 2020-11-26 Muhannad W. Gamaleldin , Alexander V. Babanin , Amin Chabchoub

Data assimilation has been applied to coastal hydrodynamic models to better estimate system states or parameters by incorporating observed data into the model. Kalman Filter (KF) is one of the most studied data assimilation methods whose…

Atmospheric and Oceanic Physics · Physics 2016-07-05 Milad Hooshyar , Stephen C. Medeiros , Dingbao Wang , Scott C. Hagen

Working with a two-stage ice sheet model, we explore how statistical data assimilation methods can be used to improve predictions of glacier melt and relatedly, sea level rise. We find that the EnKF improves model runs initialized using…

Dynamical Systems · Mathematics 2023-05-23 Emily Corcoran , Logan Knudsen , Talea Mayo , Hannah Park-Kaufmann , Alexander Robel

Acoustic waves in a slightly compressible fluid saturating porous periodic structure are studied using two complementary approaches: 1) the periodic homogenization (PH) method provides effective model equations for a general dynamic problem…

Fluid Dynamics · Physics 2021-01-07 Eduard Rohan , Robert Cimrman

Four different applications of spectral proper orthogonal decomposition (SPOD): low-rank reconstruction, denoising, frequency-time analysis, and prewhitening are demonstrated on large-eddy simulation data of a turbulent jet. SPOD-based…

Fluid Dynamics · Physics 2021-09-22 Akhil Nekkanti , Oliver T. Schmidt

Data reconstruction of rotating turbulent snapshots is investigated utilizing data-driven tools. This problem is crucial for numerous geophysical applications and fundamental aspects, given the concurrent effects of direct and inverse…

Fluid Dynamics · Physics 2023-11-07 Tianyi Li , Michele Buzzicotti , Luca Biferale , Fabio Bonaccorso , Shiyi Chen , Minping Wan

A physics-infused strategy relying on the Ensemble Kalman Filter (EnKF) is here used to augment the accuracy of a continuous Immersed Boundary Method (IBM). The latter is a classical penalty method accounting for the presence of the…

Fluid Dynamics · Physics 2023-10-16 Miguel M. Valero , Marcello Meldi

This paper presents a data-assimilation (DA)-based approach to forecast the phase-resolved wave evolution process and ship motion, which is developed by coupling the high-order spectral method (HOS), ensemble Kalman filter (EnKF), and a…

Systems and Control · Electrical Eng. & Systems 2025-04-22 Guangyao Wang , Yulin Pan

This study presents a methodology focusing on the use of computational model and experimental data fusion to improve the Spalart-Allmaras (SA) closure model for Reynolds-averaged Navier-Stokes solutions. In particular, our goal is to…

Fluid Dynamics · Physics 2024-07-26 Deepinder Jot Singh Aulakh , Xiang Yang , Romit Maulik
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