On the formulation of sea-ice models. Part 1: Effects of different solver implementations and parameterizations

M Losch, D Menemenlis, JM Campin, P Heimbach… - Ocean Modelling, 2010 - Elsevier
This paper describes the sea ice component of the Massachusetts Institute of Technology
general circulation model (MITgcm); it presents example Arctic and Antarctic results from a …

GMRES algorithms over 35 years

Q Zou - Applied Mathematics and Computation, 2023 - Elsevier
This paper is about GMRES algorithms for the solution of nonsingular linear systems. We
first consider basic algorithms and study their convergence. We then focus on acceleration …

Sea Ice Rheology Experiment (SIREx): 1. Scaling and statistical properties of sea‐ice deformation fields

A Bouchat, N Hutter, J Chanut, F Dupont… - Journal of …, 2022 - Wiley Online Library
As the sea‐ice modeling community is shifting to advanced numerical frameworks,
developing new sea‐ice rheologies, and increasing model spatial resolution, ubiquitous …

Is ice-rafted sediment in a North Pole marine record evidence for perennial sea-ice cover?

LB Tremblay, GA Schmidt, S Pfirman… - … of the Royal …, 2015 - royalsocietypublishing.org
Ice-rafted sediments of Eurasian and North American origin are found consistently in the
upper part (13 Ma BP to present) of the Arctic Coring Expedition (ACEX) ocean core from the …

Using sea‐ice deformation fields to constrain the mechanical strength parameters of geophysical sea ice

A Bouchat, B Tremblay - Journal of Geophysical Research …, 2017 - Wiley Online Library
We investigate the ability of viscous‐plastic (VP) sea‐ice models with an elliptical yield curve
and normal flow rule to reproduce the shear and divergence distributions derived from the …

A modified global Newton solver for viscous-plastic sea ice models

C Mehlmann, T Richter - Ocean Modelling, 2017 - Elsevier
We present and analyze a modified Newton solver, the so called operator-related damped
Jacobian method, with a line search globalization for the solution of the strongly nonlinear …

Numerical convergence of viscous‐plastic sea ice models

JF Lemieux, B Tremblay - Journal of Geophysical Research …, 2009 - Wiley Online Library
We investigate the convergence properties of the nonlinear solver used in viscous‐plastic
(VP) sea ice models. More specifically, we study the nonlinear solver that is based on an …

Improving the numerical convergence of viscous-plastic sea ice models with the Jacobian-free Newton–Krylov method

JF Lemieux, B Tremblay, J Sedláček, P Tupper… - Journal of …, 2010 - Elsevier
We have implemented the Jacobian-free Newton–Krylov (JFNK) method to solve the sea ice
momentum equation with a viscous-plastic (VP) formulation. The JFNK method has many …

A comparison of the Jacobian-free Newton–Krylov method and the EVP model for solving the sea ice momentum equation with a viscous-plastic formulation: A serial …

JF Lemieux, DA Knoll, B Tremblay, DM Holland… - Journal of …, 2012 - Elsevier
Numerical convergence properties of a recently developed Jacobian-free Newton–Krylov
(JFNK) solver are compared to the ones of the widely used EVP model when solving the sea …

[HTML][HTML] CICE on a C-grid: new momentum, stress, and transport schemes for CICEv6. 5

JF Lemieux, WH Lipscomb, A Craig… - Geoscientific Model …, 2024 - gmd.copernicus.org
This article presents the C-grid implementation of the CICE sea ice model, including the C-
grid discretization of the momentum equation, the boundary conditions (BCs), and the …