The gappy proper orthogonal decomposition (POD) is essentially a sample-dependent method that approximates unknown target airfoils by means of an appropriate sample interpolation. However, when airfoil samples significantly differ from targets, the method error is unacceptable. In this wok, we propose a successive sample-approximating gappy proper orthogonal decomposition (SSAGPOD) method for inverse airfoil design. For comparison, both the standard Gappy POD and SSAGPOD are applied to subsonic and transonic airfoil design cases in which airfoil samples are remarkably different from the targets. The results show that the SSAGPOD method, using the sample-approximating strategy, provides more accurate approximations than that of the standard Gappy POD.
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