Exponential versus IMEX high-order time integrators for thermal convection in rotating spherical shells
Exponential versus IMEX high-order time integrators for thermal convection in rotating spherical shells
复制标题
旋转球壳中热对流的指数积分器与 IMEX 高阶时间积分器
DOI：
10.1016/j.jcp.2014.01.033
复制
发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Juan Sánchez
中科院分区：
文献类型：
--
作者：
Ferran Garcia;Luca Bonaventura;M. Net;Juan Sánchez
我们评估的精度和效率的几个指数时间积分方法耦合到旋转球壳的三维Boussinesq热对流方程的谱离散。指数的方法进行了比较隐式显式（IMEX）的多步方法已经研究过以前在[1]。广泛的数值模拟的结果突出了指数方法对于给定时间步长的上级精度，特别是当采用大时间步长和低Ekman数时。然而，目前可用的指数方法的实现似乎是在一般计算上比IMEX方法更昂贵，需要进一步的研究，以减少其计算成本的每一个时间步。一个物理上合理的外推参数表明，一些指数方法可能是最有效的选择，整合地球外核附近的流动条件。
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. However, presently available implementations of exponential methods appear to be in general computationally more expensive than those of IMEX methods and further research is needed to reduce their computational cost per time step. A physically justified extrapolation argument suggests that some exponential methods could be the most efficient option for integrating flows near Earth's outer core conditions.
影响因子：
3.1
作者：
Al-Mohy, Awad H.;Higham, Nicholas J.
通讯作者：
Higham, Nicholas J.