物理学报Issue(3)：528-536,9.DOI:10.7498/aps.62.039204
基于变分方法的有限区域风场分解与重构I：理论框架和仿真实验
Wind partitioning and reconstruction with variational method in a limited domain I:theoretical frame and simulation experiments∗
摘要
Abstract
As is well known, the efficient method to wind partitioning and reconstruction is to introduce the velocity potential and stream function which are calculated from divergence and vorticity by solving two Poisson’s equations. Since velocity potential and stream function are coupled at the boundary of limited domain, the wind partitioning problem is nonunique. To vercome the nonuniqueness of the wind portioning, a new variational adjoint method combined with regularization is proposed in this paper, which is based on the control of velocity potential and stream function boundary values under Dirichlet conditions. The cost function is composed of two parts, one is the observation term to minimize the error of the reconstructed wind field, and the other is the regularization term to guarantee the uniqueness of the reconstruction problem by seeking a stable regularization solution within meteorological content. The results of numerical experiments demonstrate that after choosing an appropriate regularization parameter, the new variational adjoint method combined with regularization is efficient and suitable for wind portioning and reconstruction in a limited domain.关键词
变分伴随方法/正则化/速度势和流函数/风场分解和重构Key words
variational adjoint method/regularization method/stream function and velocity potential/wind parti-tion and reconstruction引用本文复制引用
赵延来,黄思训,杜华栋..基于变分方法的有限区域风场分解与重构I：理论框架和仿真实验[J].物理学报,2013,(3):528-536,9.基金项目
全球变化研究国家重大科学研究计划(批准号:2012CB955902)和国家自然科学基金(批准号:41175067,41105033)资助的课题 （批准号:2012CB955902）
