双扩散自然对流的连续数据同化
Continuous Data Assimilation for the Double-Diffusive Natural Convection
摘要：
在这项研究中，我们分析了连续数据同化方案应用于双扩散自然对流模式。该算法采用一阶向后欧拉时间格式和空间上的有限元离散。对于不同的推进参数，给出了长时间稳定性和收敛性结果。为了验证理论和算法的可行性，给出了两个详细的数值试验。
英文摘要：
In this study, we analyzed a continuous data assimilation scheme applied on a double-diffusive natural convection model. The algorithm is introduced with a first order backward Euler time scheme along with a finite element discretization in space. The long time stability and convergence results are presented for different options of nudging parameters. Two elaborative numerical test are given in order to confirm the theory and prove the promise of the algorithm.
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。
