Calibration of POD reduced‐order models using Tikhonov regularization

Abstract In this paper we compare various methods of calibration that can be used in practice to improve the accuracy of reduced‐order models based on proper orthogonal decomposition. The bench mark configuration retained corresponds to a case of relatively simple dynamics: a two‐dimensional flow around a cylinder for a Reynolds number of 200. We generalize to the first and second‐order the method of calibration based on Tikhonov regularization recently used in ( Physica D: Nonlinear Phenom. 2009; 238 :416–427). Finally, we show that for this flow configuration this procedure is the most effective in terms of reduction of errors. Copyright © 2009 John Wiley & Sons, Ltd.