Aerodynamic database reconstruction via gappy high order singular value decomposition

A method based on an iterative application of high order singular value decomposition is derived for the reconstruction of missing data in multidimensional databases. The method is inspired by a seminal gappy reconstruction method for two-dimensional databases invented by Everson and Sirovich (1995) [20] and improved by Beckers and Rixen (2003) [21] and Venturi and Karniadakis (2004) [22]. In addition, the method is adapted to treat both noisy and structured-but-non-rectangular databases. The method is calibrated and illustrated using a three-dimensional toy model database that is obtained by discretizing a transcendental function. The performance of the method is tested on three aerodynamic databases for the flow past a wing, one obtained by a semi-analytical method, and two resulting from computational fluid dynamics.