The magnetic non-hydrostatic shallow-water model

DOI10.1017/jfm.2023.746zbMath1525.76114OpenAlexW4387695139MaRDI QIDQ6051241

David Gerard Dritschel, S. M. Tobias

Publication date: 19 October 2023

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jfm.2023.746

zbMATH Keywords

contour dynamicsnumerical solutionGaussian vortexRossby deformation radiusCoriolis buoyancy frequencymagneto-hydrostatic limitthree-dimensional incompressible inviscid MHD equations

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Magnetohydrodynamics and electrohydrodynamics (76W05) Basic methods in fluid mechanics (76M99)

Cites Work

• FINESSE: Axisymmetric MHD equilibria with flow
• Asymptotic shallow models arising in magnetohydrodynamics
• Revisiting the Rossby-Haurwitz wave test case with contour advection
• A pseudo-spectral algorithm and test cases for the numerical solution of the two-dimensional rotating Green-Naghdi shallow water equations
• Flux expulsion with dynamics
• Weakly dispersive nonlinear gravity waves
• Hamiltonian structure for two-dimensional hydrodynamics with nonlinear dispersion
• A derivation of equations for wave propagation in water of variable depth
• Different approximations of shallow fluid flow over an obstacle
• Circulation conservation and vortex breakup in magnetohydrodynamics at low magnetic Prandtl number
• Atmospheric and Oceanic Fluid Dynamics
• On the regularity of the Green–Naghdi equations for a rotating shallow fluid layer
• The validity of two-dimensional models of a rotating shallow fluid layer
• Rotating magnetic shallow water waves and instabilities in a sphere

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