Stability of Two Conservative, High-Order Fluid-Fluid Coupling Methods

DOI10.4208/aamm.OA-2018-0212zbMath1488.65415MaRDI QIDQ5156706

Robert D. Dolan, Jeffrey Mark Connors

Publication date: 11 October 2021

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

zbMATH Keywords

atmosphere-oceanfluid-fluidconservative couplingair-seapartitioned time stepping

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical interpolation (65D05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Meteorology and atmospheric physics (86A10) Computational methods for problems pertaining to geophysics (86-08) Liquid-gas two-phase flows, bubbly flows (76T10) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items

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Uses Software

• FreeFem++
• POP
• CAM3

Cites Work

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• Decoupled Time Stepping Methods for Fluid-Fluid Interaction
• A fluid-fluid interaction method using decoupled subproblems and differing time steps
• Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
• A Defect-Deferred Correction Method for Fluid-Fluid Interaction
• New development in freefem++
• The Mathematical Theory of Finite Element Methods