A simple and practical polynomial-based turbomachinery profile leading edge geometry design method is proposed in this paper. A mature blade profile - Hodson-Dominy (HD) blade has been selected to verify the effectiveness of the method. Comprehensive analyses on original HD blade and the redesigned blade were conducted by both Large Eddy Simulations (LES) and Reynolds Average Navier-Stokes (RANS) simulations. The results showed that the optimization on HD blade can depress the pressure spike and separation near the leading edge effectively. Meanwhile the separation bubble on suction surface near the trailing edge was reduced partly. The above changes made a 1/3 decrease in suction side leading edge loss and a 10% decrease in the whole profile loss at the design condition. Also, this method was testified to be effective at the conditions with the attack angle from -12 degrees to +9 degrees Further investigations were carried out on a 5-stage low-pressure turbine, which indicated that the performance was improved in a wide range of working conditions, and a 0.5% increase in efficiency was reported near the design point. (C) 2012 Elsevier Ltd. All rights reserved.