Exponential versus IMEX high-order time integrators for thermal convection in rotating spherical shells
We assess the accuracy and efficiency of several exponential time integration methods
coupled to a spectral discretization of the three-dimensional Boussinesq thermal convection
equations in rotating spherical shells. Exponential methods are compared to implicit–explicit
(IMEX) multi-step methods already studied previously in [1]. The results of a wide range of
numerical simulations highlight the superior accuracy of exponential methods for a given
time step, especially when employed with large time steps and at low Ekman number …
coupled to a spectral discretization of the three-dimensional Boussinesq thermal convection
equations in rotating spherical shells. Exponential methods are compared to implicit–explicit
(IMEX) multi-step methods already studied previously in [1]. The results of a wide range of
numerical simulations highlight the superior accuracy of exponential methods for a given
time step, especially when employed with large time steps and at low Ekman number …
Exponential versus IMEX high-order time integrators for thermal convection in rotating spherical shells
F Garcia Gonzalez, L Bonaventura, M Net Marcé… - recercat.cat
We assess the accuracy and efficiency of several exponential time integration methods
coupled to a spectral discretization of the three-dimensional Boussinesq thermal convection
equations in rotating spherical shells. Exponential methods are compared to implicit–explicit
(IMEX) multi-step methods already studied previously in [1]. The results of a wide range of
numerical simulations highlight the superior accuracy of exponential methods for a given
time step, especially when employed with large time steps and at low Ekman number …
coupled to a spectral discretization of the three-dimensional Boussinesq thermal convection
equations in rotating spherical shells. Exponential methods are compared to implicit–explicit
(IMEX) multi-step methods already studied previously in [1]. The results of a wide range of
numerical simulations highlight the superior accuracy of exponential methods for a given
time step, especially when employed with large time steps and at low Ekman number …
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