A method, apparatus and program product are provided to optimize film cooling performance for turbomachinery components. A design space is defined by selecting process variables and limits. A random initial population of a plurality of designs is provided using Latin hypersquare sampling, varying the process variables across the design space. Each design of the plurality of designs is evaluated. A fitness function value is determined based on a performance of each of the evaluated designs of the plurality of designs. A half of the plurality of designs having higher fitness function values is selected. Designs of the selected half of the plurality of designs are randomly paired to generate two new designs from each random pair of designs forming a plurality of new designs.
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