A comparison of high-order time integrators for thermal convection in rotating spherical shells

JOURNAL OF COMPUTATIONAL PHYSICS

卷:229

Article

Garcia, F.¹  Net, M.¹  Garcia-Archilla, B.²  Sanchez, J.¹ 

[1] Univ Politecn Cataluna, Dept Fis Aplicada, ES-08034 Barcelona, Spain

[2] Univ Seville, Dept Matemat Aplicada 2, Escuela Super Ingn, Seville 41092, Spain

关键词: Time integration methods;    Backward differentiation-extrapolation formulae;    Krylov methods;    Spectral methods;    Spherical shells;    Thermal convection;   

DOI  :  10.1016/j.jcp.2010.07.004

来源: Elsevier

【 摘 要 】

A numerical study of several time integration methods for solving the three-dimensional 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. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free