A new immersed boundary approach for high order Weighted Essentially non-Oscillatory (WENO) schemes is proposed. The schemes is based on the main ideas from both the general immersed boundary algorithms and the level–set approach and can be easily applied to both finite difference and finite volume formulation. Although formally only second order accurate, numerical tests prove that the use of higher order approximation for the Eulerian fluxes can be very convenient to capture flow details and to obtain low uncertainty also with very coarse grids.

中文翻译：

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高阶加权本质非振荡方案的沉浸边界方法

提出了一种新的用于高阶加权本质上非振荡（WENO）方案的沉浸边界方法。该方案基于通用沉浸边界算法和水平集方法的主要思想，可以轻松地应用于有限差分和有限体积公式。尽管从形式上说仅是二阶精度，但数值测试证明，对于欧拉通量，使用高阶近似值可以非常方便地捕获流量细节并使用非常粗糙的网格获得较低的不确定性。