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Impinging jet is widely implemented at the leading edge of aircraft wings for anti-/de-icing purposes. To further improve the anti-icing performance, this paper utilized numerical simulation to explore the impingement heat transfer characteristics of different fin arrays on flat plate and concave surface sequentially. The fin array in the flat-plate model consisted of 8, 12 straight fins or 12 curved fins. The concave surface model consisted of 8 short or long fins. The results show that the addition of fin arrays on the flat plate and airfoil surface can significantly improve the jet impact heat transfer performance at different Reynolds numbers. Compared with non-fins, the comprehensive heat transfer effect on the airfoil surface is increased by 4%—10%, especially for the stagnation region. Further flow field analysis reveals that adding fin array not only increases the area of heat transfer, but also strengthens the turbulent kinetic energy of impingement jet flow, leading to an enhancement of heat transfer performance.