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Data assimilation methodologies are designed to incorporate noisy observations of a physical system into an underlying model in order to infer the properties of the state of the system. Filters refer to a class of data assimilation…

Optimization and Control · Mathematics 2013-08-06 C. E. A. Brett , K. F. Lam , K. J. H. Law , D. S. McCormick , M. R. Scott , A. M. Stuart

We present a simple parameterization for coarse-resolution ocean models. To replace computationally expensive high-resolution ocean models, we develop a computationally cheap parameterization for coarse-resolution models based solely on the…

Fluid Dynamics · Physics 2023-05-10 Louis Thiry , Long Li , Etienne Mémin

The Massachusetts Institute of Technology General Circulation Model (MITgcm) is widely used by the climate science community to simulate planetary atmosphere and ocean circulations. A defining feature of the MITgcm is that it has been…

Recently, Kami\'nski et al. [1] demonstrated that a two-dimensional streamwise waviness with carefully selected amplitude and period can be effectively used in postponement of a flow separation at high Reynolds number which is out of reach…

Fluid Dynamics · Physics 2025-05-29 Piotr Kamiński , Artur Tyliszczak , Witold Elsner , Paweł Niegodajew

Idealized and comprehensive ocean models at low resolutions cannot reproduce nominally-resolved flow structures similar to those presented in the high-resolution solution. Although there are various underlying physical reasons for this,…

Fluid Dynamics · Physics 2023-05-24 Igor Shevchenko , Pavel Berloff

This paper presents a conforming finite element discretization of the streamfunction formulation of the one-layer stationary quasi-geostrophic equations, which are a commonly used model for the large scale wind- driven ocean circulation.…

Numerical Analysis · Mathematics 2014-11-05 Erich L Foster , Traian Iliescu , Zhu Wang

In this paper a procedure for large-eddy simulation (LES) has been devised for fluid and magnetohydrodynamic turbulence in Fourier space using the renormalized parameters. The parameters calculated using field theory have been taken from…

Chaotic Dynamics · Physics 2009-11-10 Mahendra K. Verma , Shishir Kumar

Due to computational constraints, climate simulations cannot resolve a range of small-scale physical processes, which have a significant impact on the large-scale evolution of the climate system. Parameterization is an approach to capture…

Atmospheric and Oceanic Physics · Physics 2024-11-12 Cem Gultekin , Adam Subel , Cheng Zhang , Matan Leibovich , Pavel Perezhogin , Alistair Adcroft , Carlos Fernandez-Granda , Laure Zanna

The approximate deconvolution Leray reduced order model (ADL-ROM) uses spatial filtering to increase the ROM stability, and approximate deconvolution to increase the ROM accuracy. In the under-resolved numerical simulation of…

Numerical Analysis · Mathematics 2024-10-04 Ian Moore , Anna Sanfilippo , Francesco Ballarin , Traian Iliescu

We present a comprehensive inter-comparison of linear regression (LR), stochastic, and deep-learning approaches for reduced-order statistical emulation of ocean circulation. The reference dataset is provided by an idealized, eddy-resolving,…

Atmospheric and Oceanic Physics · Physics 2021-10-04 Niraj Agarwal , Dmitri Kondrashov , Peter Dueben , Evgenii Ryzhov , Pavel Berloff

In the present paper we consider a 2-D shallow-water equations (SWE) model on a $\beta$-plane solved using an alternating direction fully implicit (ADI) finite-difference scheme on a rectangular domain. The scheme was shown to be…

Computational Physics · Physics 2015-06-12 Razvan Stefanescu , Ionel Michael Navon

Current design constraints have encouraged the studies of aeroacoustic fields around compressible jet flows. The present work addresses the numerical study of unsteady turbulent jet flows as a preparation for future aeroacoustic analyses of…

Fluid Dynamics · Physics 2023-01-13 Sami Yamouni , Carlos Junqueira-Junior , Joao Luiz F. Azevedo , William R. Wolf

We present a framework for Large Eddy Simulations (LES) with Immersed Boundaries (IBs) to simulate high Reynolds number flows over complex walls. In this approach, which we call Immersed Boundary-Modeled LES (IBMLES), we volume-filter the…

Fluid Dynamics · Physics 2025-11-03 Morrison Rickard , M. Houssem Kasbaoui

Accurate and efficient global ocean state estimation remains a grand challenge for Earth system science, hindered by the dual bottlenecks of computational scalability and degraded data fidelity in traditional data assimilation (DA) and deep…

Machine Learning · Computer Science 2025-11-11 Yanfei Xiang , Yuan Gao , Hao Wu , Quan Zhang , Ruiqi Shu , Xiao Zhou , Xi Wu , Xiaomeng Huang

A quasi-second order scheme is developed to obtain approximate solutions of the shallow water equationswith bathymetry. The scheme is based on a staggered finite volume scheme for the space discretization:the scalar unknowns are located in…

Numerical Analysis · Mathematics 2021-11-19 R Herbin , J. -C Latché , Y Nasseri , N Therme

In this paper, we introduce a multiscale framework based on adaptive edge basis functions to solve second-order linear elliptic PDEs with rough coefficients. One of the main results is that we prove the proposed multiscale method achieves…

Numerical Analysis · Mathematics 2021-08-19 Yifan Chen , Thomas Y. Hou , Yixuan Wang

The two-layer quasigeostrophic model (2LQG) and the Eady model are two idealized systems illustrating the baroclinic instability of atmospheric jets and ocean currents. The two setups share many ingredients -- background vertically sheared…

Fluid Dynamics · Physics 2025-12-08 Julie Meunier , Basile Gallet

Research on data-driven ocean models has progressed rapidly in recent years; however, the application of these models to global eddy-resolving ocean forecasting remains limited. The accurate representation of ocean dynamics across a wide…

Machine Learning · Computer Science 2026-01-21 Yuta Hirabayashi , Daisuke Matusoka , Konobu Kimura

Inability of low-resolution ocean models to simulate many important aspects of the large-scale general circulation is a common problem. In the view of physics, the main reason for this failure are the missed dynamical effects of the…

Atmospheric and Oceanic Physics · Physics 2022-09-16 Igor Shevchenko , Pavel Berloff

Accurate simulations of high-pressure transcritical fuel sprays are essential for the design and optimization of next-generation gas turbines, internal combustion engines, and liquid propellant rocket engines. Most important and challenging…

Fluid Dynamics · Physics 2022-09-21 Mohamad Fathi , Stefan Hickel , Dirk Roekaerts