Open AccessStability of sea ice dynamics models: Viscous‐plastic rheology, replacement closure, and tensile cutoff
Author(s) -
Pritchard Robert S.
Publication year - 2005
Publication title -
journal of geophysical research: oceans
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.67
H-Index - 298
eISSN - 2156-2202
pISSN - 0148-0227
DOI - 10.1029/2003jc001875
Subject(s) - mechanics , rheology , spurious relationship , constitutive equation , cutoff , classical mechanics , isotropy , perturbation (astronomy) , physics , geology , mathematics , thermodynamics , statistics , quantum mechanics , finite element method
To ensure model stability, the momentum balance, constitutive law, and hardening law must all be considered. In addition to a constitutive law that dissipates energy during all deformations, stability requires that infinitesimal perturbations to the model solutions decay. Their growth would imply that solutions are sensitive to small changes in initial conditions. Perturbation equations are introduced, linearized, and solved using normal modes. If a mode can grow, it can generate spurious motions from small initial perturbations. This stability analysis improves our understanding of the behavior of an isotropic viscous‐plastic model. The analysis shows that it has unstable opening and closing deformation states.