Abstract
The performances of the Sommerfeld, Bayliss-Turkel order-one, and Hagstrom-Hariharan order-one radiation boundary conditions for the single airfoil gust response problem are evaluated. The main objective is to assess quantitatively the accuracy, grid sensitivity, and computational efficiency of each boundary condition. To this end, a matrix of test problems is constructed, and each boundary condition is extensively tested on a large variety of grids. By the use of precise error norms and analytical solutions, it is determined that the Hagstrom-Hariharan condition is the most accurate condition, whereas the Bayliss-Turkel and Hagstrom-Hariharan conditions are about equally insensitive to grid changes. The Sommerfeld and Bayliss-Turkel conditions are the most computationally efficient. Overall, the Bayliss-Turkel condition appears to offer the best combination of accuracy and computational efficiency
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