Exponential versus IMEX high-order time integrators for thermal convection in rotating spherical shells

DOI10.1016/j.jcp.2014.01.033zbMath1349.76607OpenAlexW2155660823MaRDI QIDQ348942

Mohammad Hasan, M. Dambrine

Publication date: 5 December 2016

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

Full work available at URL: http://hdl.handle.net/2117/21530

zbMATH Keywords

thermal convectionexponential integratorsgeophysical modelinglow Ekman number flowssemi-implicit schemes

Mathematics Subject Classification ID

Related Items (14)

The fidelity of exponential and IMEX integrators for wave turbulence: introduction of a new near-minimax integrating factor scheme ⋮ An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs ⋮ An assessment of implicit-explicit time integrators for the pseudo-spectral approximation of Boussinesq thermal convection in an annulus ⋮ Dynamic models for large eddy simulation of compressible flows with a high order DG method ⋮ Comparison of exponential integrators and traditional time integration schemes for the shallow water equations ⋮ Solving periodic semilinear stiff PDEs in 1D, 2D and 3D with exponential integrators ⋮ Unnamed Item ⋮ Semi-Lagrangian Exponential Integration with Application to the Rotating Shallow Water Equations ⋮ An efficient exponential time integration method for the numerical solution of the shallow water equations on the sphere ⋮ Energy conserving discontinuous Galerkin spectral element method for the Vlasov-Poisson system ⋮ Radial collocation methods for the onset of convection in rotating spheres ⋮ Second order fully semi-Lagrangian discretizations of advection-diffusion-reaction systems ⋮ Continuation of Double Hopf Points in Thermal Convection of Rotating Fluid Spheres ⋮ Overcoming Order Reduction in Diffusion-Reaction Splitting. Part 1: Dirichlet Boundary Conditions

Uses Software

• Expokit
• RODAS
• Algorithm 919
• phipm

Cites Work

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• Unnamed Item
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• Expokit
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• Spectral Methods
• Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants
• A Comparison of High-Order Time Integrators for Highly Supercritical Thermal Convection in Rotating Spherical Shells
• Integration of Stiff Equations

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