A Second-Order Implicit-Explicit Scheme for the Baroclinic-Barotropic Split System of Primitive Equations

DOI10.4208/cicp.oa-2023-0112OpenAlexW4389567645MaRDI QIDQ6188989

Zhu Wang, Rihui Lan, Max D. Gunzburger, Lili Ju

Publication date: 12 January 2024

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cicp.oa-2023-0112

zbMATH Keywords

primitive equationsimplicit-explicitbaroclinic-barotropic splittingSSH reconciliationstrong stability preserving RK

Mathematics Subject Classification ID

Parallel numerical computation (65Y05) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) PDEs in connection with geophysics (35Q86) Numerical analysis (65-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A two-level time-stepping method for layered ocean circulation models: further development and testing
• A unified approach to energy conservation and potential vorticity dynamics for arbitrarily-structured C-grids
• Numerical representation of geostrophic modes on arbitrarily structured C-grids
• A semi-implicit ocean circulation model using a generalized topography-following coordinate system
• Barotropic-baroclinic time splitting for ocean circulation modeling
• Stable split time stepping schemes for large-scale ocean modeling
• Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
• A numerical method for the study of the circulation of the world ocean
• A two-level time-stepping method for layered ocean circulation models
• High-order multirate explicit time-stepping schemes for the baroclinic-barotropic split dynamics in primitive equations
• Exponential time differencing for the tracer equations appearing in primitive equation ocean models
• Parallel exponential time differencing methods for geophysical flow simulations
• Strong Stability-Preserving High-Order Time Discretization Methods
• A Framework for Mimetic Discretization of the Rotating Shallow-Water Equations on Arbitrary Polygonal Grids
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Constrained Centroidal Voronoi Tessellations for Surfaces
• Implicit-Explicit Methods for Time-Dependent Partial Differential Equations