A low-cost, goal-oriented 'compact proper orthogonal decomposition' basis for model reduction of static systems

作者：Carlberg Kevin^*; Farhat Charbel

来源：International Journal for Numerical Methods in Engineering, 2011, 86(3): 381-402.

DOI：10.1002/nme.3074

• proper orthogonal decomposition
• model reduction
• sensitivity analysis
• goal-oriented
• static systems

A novel model reduction technique for static systems is presented. The method is developed using a goal-oriented framework, and it extends the concept of snapshots for proper orthogonal decomposition (POD) to include (sensitivity) derivatives of the state with respect to system input parameters. The resulting reduced-order model generates accurate approximations due to its goal-oriented construction and the explicit 'training' of the model for parameter changes. The model is less computationally expensive to construct than typical POD approaches, since efficient multiple right-hand side solvers can be used to compute the sensitivity derivatives. The effectiveness of the method is demonstrated on a parameterized aerospace structure problem.

• 出版日期2011-4-22