Stochastic Transport in Upper Ocean Dynamics

Stochastic parametrization: an alternative to inflation in Ensemble Kalman filters

Author(s): Benjamin Dufée, Etienne Mémin, Dan Crisan
Published in: Quarterly Journal of the Royal Meteorological Society, Wiley, 2022, Page(s) pp.1-30, ISSN 0035-9009
Publisher: Royal Meteorological Society
DOI: 10.1002/qj.4247

Wave-current interaction on a free surface

Author(s): Dan Crisan, Darryl D. Holm, Oliver D. Street
Published in: ArXiv.org - Physics - Fluid Dynamics, 2020, ISSN 2331-8422
Publisher: Cornell University

Log-Normalization Constant Estimation using the Ensemble Kalman-Bucy Filter with Application to High-Dimensional Models

Author(s): DAN CRISAN, PIERRE DEL MORAL, AJAY JASRA and HAMZA RUZAYQAT
Published in: ArXiv - Mathematics, 2021, ISSN 2331-8422
Publisher: Cornell University

Variational principles for fluid dynamics on rough paths

Author(s): Dan Crisan, Darryl D. Holm, James-Michael Leahy, Torstein Nilssen
Published in: ArXiv - Physics - Fluid Dynamics, 2020, ISSN 2331-8422
Publisher: Cornell University

Stochastic effects of waves on currents in the ocean mixed layer

Author(s): Darryl D. Holm, Ruiao Hu
Published in: ArXiv - Physics - Fluid Dynamics, 2020, ISSN 2331-8422
Publisher: Cornell University

Stochastic Variational Formulations of Fluid Wave-Current Interaction

Author(s): Darryl D Holm
Published in: ArXiv - Physics - Fluid Dynamics, 2020, ISSN 2331-8422
Publisher: Cornell University

Bayesian inference for fluid dynamics: A case study for the stochastic rotating shallow water model

Author(s): Oana Lang, Peter Jan van Leeuwen, Dan Crisan and Roland Potthast
Published in: Frontiers in applied mathematics and statistics, Issue 22974687, 2022, ISSN 2297-4687
Publisher: Lausanne: Frontiers Media S.A.
DOI: 10.3389/fams.2022.949354

Testing a one-closure equation turbulence model in neutral boundary layers

Author(s): Benoît Pinier, Roger Lewandowski, Etienne Mémin, Pranav Chandramouli
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 376, 2021, Page(s) 113662, ISSN 0045-7825
Publisher: Elsevier BV
DOI: 10.1016/j.cma.2020.113662

Nonlinear dispersion in wave-current interactions

Author(s): Darryl D. Holm, Ruiao Hu
Published in: JOURNAL OF GEOMETRIC MECHANICS, 2022, ISSN 1941-4889
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/jgm.2022004

Stochastic effects of waves on currents in the ocean mixed layer

Author(s): Darryl D. Holm, Ruiao Hu
Published in: Journal of Mathematical Physics, Issue 62/7, 2021, Page(s) 073102, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/5.0045010

Theoretical analysis and numerical approximation for the stochastic thermal quasi-geostrophic model

Author(s): Dan Crisan, Darryl D. Holm, Oana Lang, Prince Romeo Mensah, and Wei Pan
Published in: Stochastics and Dynamics, 2023, ISSN 1793-6799
Publisher: World Scientific
DOI: 10.1142/s0219493723500399

4D large scale variational data assimilation of a turbulent flow with a dynamics error model

Author(s): Pranav Chandramouli, Etienne Memin, Dominique Heitz
Published in: Journal of Computational Physics, Issue 412, 2020, Page(s) 109446, ISSN 0021-9991
Publisher: Academic Press
DOI: 10.1016/j.jcp.2020.109446

Stochastic data-driven parameterization of unresolved eddy effects in a baroclinic quasi-geostrophic model.

Author(s): Long Li, Bruno Deremble, Noé Lahaye, Etienne Mémin
Published in: Journal of Advances in Modeling Earth Systems, 2023, ISSN 1942-2466
Publisher: American Geophysical Union
DOI: 10.1029/2022ms003297

Bayesian Inference for Fluid Dynamics: A Case Study for the Stochastic Rotating Shallow Water Model

Author(s): Peter Jan van Leeuwen, Dan Crisan, Oana Lang, Roland Potthast
Published in: Mathematics > Numerical Analysis, 2021, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.48550/arxiv.2112.15216

A pathwise parameterisation for stochastic transport

Author(s): Oana Lang, Wei Pan
Published in: Mathematics > Probability, 2022, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.48550/arxiv.2202.10852

Well-Posedness Properties for a Stochastic Rotating Shallow Water Model

Author(s): Dan Crisan and Oana Lang
Published in: Journal of Dynamics and Differential Equations, 2023, ISSN 1040-7294
Publisher: Plenum Publishers
DOI: 10.1007/s10884-022-10243-1

A Consistent Stochastic Large-Scale Representation of the Navier–Stokes Equations

Author(s): Arnaud Debussche, Berenger Hug and Etienne Mémin
Published in: Journal of Mathematical Fluid Mechanics, 2023, ISSN 1422-6952
Publisher: Springer
DOI: 10.1007/s00021-023-00764-0

Existence and uniqueness of maximal solutions to SPDEs with applications to viscous fluid equations

Author(s): Daniel Goodair, Dan Crisan & Oana Lang
Published in: Stochastics and Partial Differential Equations: Analysis and Computations, 2023, ISSN 2194-041X
Publisher: Springer
DOI: 10.1007/s40072-023-00305-w

Rotating shallow water flow under location uncertainty with a structure-preserving discretization

Author(s): Rüdiger Brecht, Long Li, Werner Bauer, Etienne Mémin
Published in: Fluid Dynamics (physics.flu-dyn); Numerical Analysis (math.NA), 2021, ISSN 2331-8422
Publisher: Cornell University

Analytical Properties for a Stochastic Rotating Shallow Water Model Under Location Uncertainty

Author(s): Oana Lang, Dan Crisan, Etienne Mémin
Published in: Journal of Mathematical Fluid Mechanics, 2023, ISSN 1422-6952
Publisher: Springer
DOI: 10.1007/s00021-023-00769-9

Stochastic Wave–Current Interaction in Thermal Shallow Water Dynamics

Author(s): Darryl D. Holm, Erwin Luesink
Published in: Journal of Nonlinear Science, Issue 31/2, 2021, ISSN 0938-8974
Publisher: Springer Verlag
DOI: 10.1007/s00332-021-09682-9

An application of the splitting-up method for the computation of a neural network representation for the solution for the filtering equations

Author(s): Dan Crisan, Alexander Lobbe, Salvador Ortiz-Latorre
Published in: Stochastics and Partial Differential Equations: Analysis and Computations, 2022, ISSN 2194-041X
Publisher: Springer
DOI: 10.1007/s40072-022-00260-y

Deciphering the Role of Small-Scale Inhomogeneity on Geophysical Flow Structuration: A Stochastic Approach

Author(s): Werner Bauer, Pranav Chandramouli, Bertrand Chapron, Long Li, Etienne Mémin
Published in: Journal of Physical Oceanography, Issue 50/4, 2020, Page(s) 983-1003, ISSN 0022-3670
Publisher: American Meteorological Society
DOI: 10.1175/jpo-d-19-0164.1

Local well-posedness for the great lake equation with transport noise

Author(s): Dan Crisan and Oana Lang
Published in: Revue Roumaine Mat. Pures et Appl., 2021, Page(s) 66 (2021), ISSN 0035-3965
Publisher: Romanian Academy, Publishing House of the Romanian Academy

Stochastic modelling in fluid dynamics: Itô versus Stratonovich

Author(s): Darryl D. Holm
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Issue 476/2237, 2020, Page(s) 20190812, ISSN 1364-5021
Publisher: Royal Society of London
DOI: 10.1098/rspa.2019.0812

Stochastic representation of mesoscale eddy effects in coarse-resolution barotropic models

Author(s): Werner Bauer, Pranav Chandramouli, Long Li, Etienne Mémin
Published in: Ocean Modelling, Issue 151, 2020, Page(s) 101646, ISSN 1463-5003
Publisher: Elsevier BV
DOI: 10.1016/j.ocemod.2020.101646

Effects of smooth divergence-free flows on tracer gradients and spectra: Eulerian prognosis description

Author(s): Valentin Resseguier, Bertrand Chapron, Etienne Mémin
Published in: Journal of Physical Oceanography, Issue 52 (1), 2022, Page(s) pp.53-74, ISSN 0003-0007
Publisher: American Meteorological Society
DOI: 10.1175/jpo-d-21-0014.1

Quantifying truncation-related uncertainties in unsteady fluid dynamics reduced order models

Author(s): Valentin Resseguier, Agustin Picard, Etienne Mémin, Bertrand Chapron
Published in: SIAM/ASA Journal on Uncertainty Quantification, 2021, ISSN 2166-2525
Publisher: SIAM and the American Statistical Association

Well-posedness Properties for a Stochastic Rotating Shallow Water Model

Author(s): Dan Crisan, Oana Lang
Published in: Mathematics > Analysis of PDEs, 2021, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.48550/arxiv.2107.06601

Deterministic and stochastic Euler–Boussinesq convectio

Author(s): Darryl D. Holm, Wei Pan
Published in: Physica D: Nonlinear Phenomena, 2023, ISSN 1872-8022
Publisher: Elsevir
DOI: 10.1016/j.physd.2022.133584

Eigenvalues of autocovariance matrix: A practical method to identify the Koopman eigenfrequencies

Author(s): Yicun Zhen, Bertrand Chapron, Etienne Mémin, and Lin Peng
Published in: Physical Review E, Issue 105 (3), 2022, Page(s) pp.1-12, ISSN 0003-0503
Publisher: American Physical Society
DOI: 10.1103/physreve.105.034205

Well-posedness for a stochastic 2D Euler equation with transport noise

Author(s): Oana Lang and Dan Crisan
Published in: Stochastics and Partial Differential Equations: Analysis and Computations, 2022, ISSN 2194-041X
Publisher: Springer
DOI: 10.1007/s40072-021-00233-7

Analytical Properties for a Stochastic Rotating Shallow Water Model under Location Uncertainty

Author(s): Oana Lang Dan Crisan Etienne M emin
Published in: ArXiv - Mathematics - Analysis of PDEs, 2022, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.48550/arxiv.2206.12451

Stochastic mesoscale circulation dynamics in the thermal ocean

Author(s): Darryl D. Holm, Erwin Luesink, Wei Pan
Published in: Physics of Fluids, Issue 33/4, 2021, Page(s) 046603, ISSN 1070-6631
Publisher: American Institute of Physics
DOI: 10.1063/5.0040026

Stochastic linear modes in a turbulent channel flow

Author(s): Gilles Tissot, André V. G. Cavalieri, Étienne Mémin
Published in: Journal of Fluid Mechanics, Issue 912, 2021, ISSN 0022-1120
Publisher: Cambridge University Press
DOI: 10.1017/jfm.2020.1168

Wave–current interaction on a free surface

Author(s): Dan Crisan, Darryl D. Holm, Oliver D. Street
Published in: Studies in Applied Mathematics, 2021, ISSN 0022-2526
Publisher: Blackwell Publishing Inc.
DOI: 10.1111/sapm.12425

New Trends in Ensemble Forecast Strategy: Uncertainty Quantification for Coarse-Grid Computational Fluid Dynamics

Author(s): V. Resseguier, L. Li, G. Jouan, P. Dérian, E. Mémin, B. Chapron
Published in: Archives of Computational Methods in Engineering, Issue 28/1, 2021, Page(s) 215-261, ISSN 1134-3060
Publisher: International Center for Numerical Methods in Engineering
DOI: 10.1007/s11831-020-09437-x

An implementation of Hasselmann's paradigm for stochastic climate modelling based on stochastic Lie transport

Author(s): D Crisan, D D Holm and P Korn
Published in: Nonlinearity, Issue 36, 2023, Page(s) 4862, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ace1ce

Conference proceedings: Stochastic Transport in Upper Ocean Dynamics

Author(s): Editors: Bertrand Chapron, Dan Crisan, Darryl Holm, Etienne Mémin, Anna Radomska
Published in: Mathematics of Planet Earth, 2022, ISBN 978-3-031-18988-3
Publisher: Spinger
DOI: 10.1007/978-3-031-18988-3

Nonlinear stochastic transport partial differential equations: well-posedness and data assimilation,

Author(s): Oana Lang
Published in: Thesis/Dissertation, 2020
Publisher: Imperial College London
DOI: 10.25560/89816

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