Local time-stepping for the shallow water equations using CFL optimized forward-backward Runge-Kutta schemes

DOI10.1016/J.JCP.2024.113511MaRDI QIDQ6648432

Darren Engwirda, Robert L. Higdon, Mark R. Petersen, Jeremy R. Lilly, Giacomo Capodaglio

Publication date: 4 December 2024

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

zbMATH Keywords

CFL conditionshallow watertime-steppingstorm surgeMPAS-oceanTRiSK

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Geophysics (86Axx)

Cites Work

• A two-level time-stepping method for layered ocean circulation models: further development and testing
• Numerical techniques for global atmospheric models.
• A unified approach to energy conservation and potential vorticity dynamics for arbitrarily-structured C-grids
• Local time stepping for the shallow water equations in MPAS
• Conservative explicit local time-stepping schemes for the shallow water equations

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