高次精度保存型FR法での一様流保持におけるエイリアシング誤差の除去

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  • A dealiasing process for freestream preservation in a high-order conservative FR scheme

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A freestream preservation property is focused in the high-order conservative ux-reconstruction scheme on a three-dimensional stationary-curvilinear grid. Although the sufficient condition for the freestream preservation with the nonconservative (cross product form) metric was reported in the previous study to be that the order of solution polynomial has to be greater than or equal to the twice of the order of a shape function, a special case is newly found in the present study: when the Radau polynomial is used for the correction function, the freestream is preserved even if the solution order is lower than the known condition. Using the properties of Legendre polynomials, the mechanism for this special case is analytically explained, considering the cancellation of aliasing errors.

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