%0 Journal Article
%T Stokes-Cahn-Hilliard方程的二阶并行解耦算法<br>Second-Order Parallel Decoupled Algorithms for the Stokes-Cahn-Hilliard Equation
%A 刘鑫
%J Advances in Applied Mathematics
%P 765-774
%@ 2324-8009
%D 2025
%I Hans Publishing
%R 10.12677/aam.2025.144204
%X 本文为Stokes-Cahn-Hilliard相场模型开发了一种具有二阶时间精度的时间并行解耦算法&#65292;在时间上基于谱延迟校正方法和时间并行Parareal算法。此外&#65292;我们使用稳定化方法处理Cahn-Hilliard方程&#65292;运用了压力投影方法处理Stokes方程中压力<i>p</i>和速度<i>u</i>的耦合。相较于解耦的方案&#65292;进一步提高了算法的计算效率。最后&#65292;通过数值实验证明了它的稳定性和高效性。<br>In this paper, we develop a time-parallel decoupled algorithm with second-order temporal accuracy for the Stokes-Cahn-Hilliard phase-field model, based in time on the spectral-deferred correction method and the time-parallel Parareal algorithm. In addition, we use a stabilisation method for the Cahn-Hilliard equation and employ a pressure projection method for the coupling of pressure <i>p</i> and velocity <i>u</i> in the Stokes equation. Compared with the decoupled scheme, the computational efficiency of the algorithm is further improved. Finally, numerical experiments demonstrate its stability and efficiency.
%K Stokes-Cahn-Hilliard模型&#65292
%K 时间并行方法&#65292
%K 谱延迟校正方法&#65292
%K 有限元方法<br>Stokes-Cahn-Hilliard Model
%K Time Parallel Method
%K Spectral Deferred Correction Method
%K Finite Element Methods
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=112801