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

Autor
Garcia, F.; Bonaventura, L.; Net, M.; Sanchez, J.
Tipus d'activitat
Article en revista
Revista
Journal of computational physics
Data de publicació
2014-05-01
Volum
264
Pàgina inicial
41
Pàgina final
54
DOI
https://doi.org/10.1016/j.jcp.2014.01.033 Obrir en finestra nova
Projecte finançador
Cálculo numérico de variedades invariantes en EDPS disipativas. Aplicaciones a la convección térmica
Repositori
http://hdl.handle.net/2117/21530 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/article/pii/S0021999114000606 Obrir en finestra nova
Resum
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 ...
Citació
Garcia, F. [et al.]. Exponential versus IMEX high-order time integrators for thermal convection in rotating spherical shells. "Journal of computational physics", 24 Gener 2014, vol. 264, p. 41-54.
Paraules clau
DIFFERENTIAL-EQUATIONS, Exponential integrators, FLOWS, Geophysical modeling, KRYLOV SUBSPACE APPROXIMATIONS, Low Ekman number flows, MATRIX, MODEL, OPERATOR, SYSTEMS, Semi implicit schemes, Thermal convection
Grup de recerca
DF - Dinàmica de Fluids: formació d'estructures i aplicacions geofísiques

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