With the invention of the aircraft, it has become much faster and larger than\nthe original Wright Brothers aircraft. When the speed is high enough to cross\nthe speed of sound, air conditions will be different than that in low speed due\nto the existence of shock wave. In this work, we introduce several numerical\nways to analyze the performance of the airfoil when the speed is higher than\nthe speed of sound. With these numerical methods, we analyzed the performance\nof diamond-shaped airfoil under different angles of attack and speed.\nWith this data, engineers can choose a better airfoil to attain a lower drag\ncoefficient as well as lift coefficient when designing a high-speed aircraft.
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