A comparison of high-order time integrators for thermal convection in rotating spherical shells
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Data publicació2010-10-01
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Abstract
A numerical study of several time integration methods for solving the threedimensional
Boussinesq thermal convection equations in rotating spherical shells
is presented. Implicit and semi-implicit time integration techniques based on
backward differentiation and extrapolation formulae are considered. The use of
Krylov techniques allows the implicit treatment of the Coriolis term with low
storage requirements. The codes are validated with a known benchmark, and
their efficiency is studied. The results show that the use of high order methods,
especially those with time step and order control, increase the efficiency of the
time integration, and allows to obtain more accurate solutions.
CitacióGarcia, F. [et al.]. A comparison of high-order time integrators for thermal convection in rotating spherical shells. "Journal of computational physics", 01 Octubre 2010, vol. 229, núm. 20, p. 7997-8010.
ISSN0021-9991
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