三维Boussinesq方程有限元格式的POD降维模型

Reduced order modeling based on POD for finite element scheme of 3-D Boussinesq equations

针对帝国理工大学三维海洋模型(Boussinesq方程)的无结构有限元格式,用特征正交分解方法(POD)得到了降维模型.并且给出了POD降维模型的误差估计.最后,通过数值算例验证了POD方法的可行性和有效性.

Article,a reduced order finite elements cheme based on proper orthogonal decomposition（POD） for Imperial College Ocean Model（ICOM） is presented.The error estimates between the usual finite element solution and the reduced order POD solution are derived.Finally,some examples of numerical simulation are presented to demonstrate the consistency of the numerical and theoretical results,and the feasibility of the POD method.