The Parcels v2. 0 Lagrangian framework: new field interpolation schemes

P Delandmeter, E Van Sebille - Geoscientific Model …, 2019 - gmd.copernicus.org
With the increasing number of data produced by numerical ocean models, so increases the
need for efficient tools to analyse these data. One of these tools is Lagrangian ocean …

Multiscale two-way embedding schemes for free-surface primitive equations in the “Multidisciplinary Simulation, Estimation and Assimilation System”

PJ Haley Jr, PFJ Lermusiaux - Ocean dynamics, 2010 - Springer
We derive conservative time-dependent structured discretizations and two-way embedded
(nested) schemes for multiscale ocean dynamics governed by primitive equations (PEs) with …

[BOG][B] Bifurcation Analysis of Fluid Flows

HA Dijkstra, FW Wubs - 2023 - books.google.com
A better understanding of the mechanisms leading a fluid system to exhibit turbulent
behavior is one of the grand challenges of the physical and mathematical sciences. Over the …

Two preconditioners for saddle point problems in fluid flows

AC de Niet, FW Wubs - International Journal for Numerical …, 2007 - Wiley Online Library
In this paper two preconditioners for the saddle point problem are analysed: one based on
the augmented Lagrangian approach and another involving artificial compressibility …

Consistency and fidelity of Indonesian-throughflow total volume transport estimated by 14 ocean data assimilation products

T Lee, T Awaji, M Balmaseda, N Ferry, Y Fujii… - … of Atmospheres and …, 2010 - Elsevier
Monthly averaged total volume transport of the Indonesian throughflow (ITF) estimated by 14
global ocean data assimilation (ODA) products that are decade to multi-decade long are …

[BOG][B] Compatible Finite Element Methods for Geophysical Flows: Automation and Implementation Using Firedrake

TH Gibson, ATT McRae, CJ Cotter, L Mitchell, DA Ham - 2019 - books.google.com
This book introduces recently developed mixed finite element methods for large-scale
geophysical flows that preserve essential numerical properties for accurate simulations. The …

Snowball earth bifurcations in a fully-implicit earth system model

TE Mulder, H Goelzer, FW Wubs… - International Journal of …, 2021 - World Scientific
There is now much geological evidence that the Earth was fully glaciated during several
periods in the geological past (about 700 Myr ago) and attained a so-called Snowball Earth …

Effect of atmospheric feedbacks on the stability of the Atlantic meridional overturning circulation

M Toom, HA Dijkstra, AA Cimatoribus… - Journal of …, 2012 - journals.ametsoc.org
The impact of atmospheric feedbacks on the multiple equilibria (ME) regime of the Atlantic
meridional overturning circulation (MOC) is investigated using a fully implicit hybrid coupled …

Bifurcation analysis of ocean, atmosphere, and climate models

E Simonnet, HA Dijkstra, M Ghil - Handbook of numerical analysis, 2009 - Elsevier
We provide an overview of numerical bifurcation methods and how they can help one
understand the variability of large-scale oceanic and atmospheric flows, as well of the …

A robust two-level incomplete factorization for (navier–) stokes saddle point matrices

FW Wubs, J Thies - SIAM journal on matrix analysis and applications, 2011 - SIAM
We present a new hybrid direct/iterative approach to the solution of a special class of saddle
point matrices arising from the discretization of the steady incompressible Navier–Stokes …