Abstract Sharp-interface Immersed Boundary Methods for moving solids in compressible viscous flows often exhibit spurious noise propagating from the moving boundary. In compressible flows, filtering or upwinding discretization techniques are often used to overcome the problem. In the present work, we show that using a conservative energy-preserving finite difference method for convection in combination with a Ghost-Point-Forcing-Method (GPFM) is able to keep controlled the pressure-velocity spurious noise. In order to deal with compressible flow in a wide range of Mach numbers the shock-dynamics appearing in high-speed flows conditions has been addressed hybridising the latter scheme with a fifth-order weighted-essentially-non-oscillatory (WENO) scheme. The latter, in the path of keeping the numerical dissipation minimal, has been confined around the shock locations using a proper detector. In this respect, the method appears a suitable alternative for direct and large-eddy simulation of moving objects in compressible flows. The entire methodology was found to be robust ranging from weakly compressible to highly supersonic flows including shocks. In order to prove the cleanliness and the robustness of the method, several well-documented benchmarks and test cases, in a wide range of both Reynolds and Mach numbers, are presented.

中文翻译：

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可压缩粘性流中运动物体的锐界面浸入边界方法

摘要 用于在可压缩粘性流中移动固体的锐界面浸入边界方法通常表现出从移动边界传播的虚假噪声。在可压缩流中，通常使用过滤或逆风离散化技术来克服这个问题。在目前的工作中，我们表明对流使用保守的能量保持有限差分方法与鬼点强迫方法（GPFM）相结合能够保持对压力速度杂散噪声的控制。为了处理大范围马赫数的可压缩流动，高速流动条件下出现的激波动力学已经得到解决，将后一种方案与五阶加权本质非振荡 (WENO) 方案混合。后者，在保持数值耗散最小的路径上，已使用适当的探测器限制在冲击位置周围。在这方面，该方法似乎是可压缩流中运动物体的直接和大涡模拟的合适替代方案。整个方法被发现是稳健的，范围从弱可压缩到包括冲击在内的高超音速流动。为了证明该方法的清洁度和稳健性，提供了几个记录良好的基准和测试用例，包括雷诺数和马赫数的广泛范围。