自然对流问题的二阶集合时间步进算法
A Second Order Ensemble Timestepping Algorithm for Natural Convection
AI总结：
本文提出一种计算自然对流问题解集的二阶算法，通过求解两个耦合线性系统减少存储和计算成本，同时证明了方法在速度波动条件下的稳定性和收敛性。
摘要：
本文提出一种计算自然对流问题解集的二阶算法，通过求解两个耦合线性系统减少存储和计算成本，同时证明了方法在速度波动条件下的稳定性和收敛性。
英文摘要：
This paper presents an algorithm for calculating an ensemble of solutions to natural convection problems. The ensemble average is the most likely temperature distribution and its variance gives an estimate of prediction reliability. Solutions are calculated by solving two coupled linear systems, each involving a shared coefficient matrix, for multiple right-hand sides at each timestep. Storage requirements and computational costs to solve the system are thereby reduced. Moreover, this paper addresses a need for higher order methods to solve natural convection problems. Stability and convergence of the method are proven under a timestep condition involving fluctuations of the velocity. Numerical tests are provided which confirm the theoretical analyses.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
