一种用于复杂几何形状中声波散射和低马赫数流动诱导声的高阶浸入边界方法。
A High-Order Immersed Boundary Method for Acoustic Wave Scattering and Low-Mach Number Flow-Induced Sound in Complex Geometries.
作者信息
Seo Jung Hee, Mittal Rajat
机构信息
Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD, 21218.
出版信息
J Comput Phys. 2011 Feb 20;230(4):1000-1019. doi: 10.1016/j.jcp.2010.10.017.
A new sharp-interface immersed boundary method based approach for the computation of low-Mach number flow-induced sound around complex geometries is described. The underlying approach is based on a hydrodynamic/acoustic splitting technique where the incompressible flow is first computed using a second-order accurate immersed boundary solver. This is followed by the computation of sound using the linearized perturbed compressible equations (LPCE). The primary contribution of the current work is the development of a versatile, high-order accurate immersed boundary method for solving the LPCE in complex domains. This new method applies the boundary condition on the immersed boundary to a high-order by combining the ghost-cell approach with a weighted least-squares error method based on a high-order approximating polynomial. The method is validated for canonical acoustic wave scattering and flow-induced noise problems. Applications of this technique to relatively complex cases of practical interest are also presented.
描述了一种基于新的锐界面浸入边界法的方法，用于计算复杂几何形状周围的低马赫数流动诱导声。该基本方法基于一种流体动力学/声学分裂技术，其中首先使用二阶精确浸入边界求解器计算不可压缩流。随后使用线性化扰动可压缩方程（LPCE）计算声音。当前工作的主要贡献是开发了一种通用的、高阶精确的浸入边界法，用于在复杂域中求解LPCE。这种新方法通过将虚拟单元法与基于高阶近似多项式的加权最小二乘误差方法相结合，将浸入边界上的边界条件应用到高阶。该方法针对典型声波散射和流动诱导噪声问题进行了验证。还展示了该技术在相对复杂的实际感兴趣案例中的应用。
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