Finite-difference WENO schemes are capable of approximating accurately and efficiently weak solutions of hyperbolic conservation laws. In this context high order numerical boundary conditions have been proven to increase significantly the resolution of the numerical solutions. In this paper a finite-difference WENO scheme is combined with a high order boundary extrapolation technique at ghost cells to solve problems involving NACA airfoil profiles. The results obtained are comparable with those obtained through other techniques involving unstructured meshes.

翻译：有限差分WENO格式能够准确高效地逼近双曲守恒律的弱解。在此背景下，高阶数值边界条件已被证明能显著提升数值解的分辨率。本文提出将有限差分WENO格式与虚拟单元处的高阶边界外推技术相结合，以求解涉及NACA翼型剖面的问题。所得结果与通过非结构网格等其他技术获得的结果具有可比性。