Semi-implicit projection methods for incompressible flow based on spectral deferred corrections
Semi-implicit projection methods for incompressible flow based on spectral deferred corrections
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DOI：
10.1016/j.apnum.2003.11.005
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发表时间：
2004-03
影响因子：
2.8
通讯作者：
M. Minion
中科院分区：
文献类型：
--
作者：
M. Minion
在直线法中采用谱延迟改正的半隐式形式，建立了简单区域在时间和空间上都具有六阶精度的投影法。给出了谱延迟校正的推导过程，并与传统的延迟校正方法进行了比较。给出了Boussinesq流动方程的辅助变量形式，方便了直线逼近法的应用。文中还讨论了如何通过使用积分方程法将这些方法推广到复杂的空间域。
A semi-implicit form of spectral deferred corrections is used in a method of lines approach to create a projection method that is sixth-order accurate in both time and space for simple domains. The derivation of spectral deferred corrections is presented and compared to traditional deferred correction methods. An auxiliary variable form of the equations for Boussinesq flow is presented which facilitates a method of lines approach. A discussion of how these methods can be extended to complex spatial domains through the use of integral equation methods is also presented.