Conceitos essenciais
The author presents a method to improve the time step restriction scaling in weak form Shallow Ice Approximation (SIA) models by incorporating Free Surface Stabilization Algorithm (FSSA) terms.
Resumo
The study focuses on enhancing SIA models by introducing FSSA terms, leading to more efficient computational performance. The research compares different SIA formulations and their impact on stability and accuracy, highlighting the benefits of the weak form approach with FSSA stabilization. By analyzing surface elevation propagation and time step restrictions, the study provides insights into optimizing ice sheet modeling for improved efficiency and accuracy.
Key points include:
Introduction of FSSA terms in weak form SIA models for improved time step scaling.
Comparison of different SIA formulations with and without FSSA stabilization.
Analysis of surface elevation evolution over time and its relation to computational efficiency.
Evaluation of model error versus computational runtime for various SIA formulations.
The study showcases the importance of incorporating FSSA terms in weak form SIA models to enhance computational efficiency while maintaining accuracy in ice sheet dynamics modeling.
Estatísticas
The solution is computed using the nonlinear Stokes problem as a reference with a small time step ∆t = 0.1 years.
Horizontal mesh size ∆x = 250 meters and vertical mesh size ∆y = 90 meters are fixed throughout the experiments.