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A Lagrangian approach for computational acoustics with particle-based method

机译:基于粒子方法的声学计算的拉格朗日方法

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Although Eulerian approaches are standard in computational acoustics, they are less effective for problems with moving boundaries and multiphase systems like bubble acoustics. In this paper, a Lagrangian approach to model sound propagation in moving fluid is presented and implemented numerically with particle-based methods. Fluid dynamic equations is divided into a set of hydrodynamic equations for the motion of fluid particles and perturbation equations for the acoustic quantities corresponding to each fluid particle. Then, the smoothed particle hydrodynamics (SPH) method and the corrective smoothed particle (CSP) method are introduced to solve the perturbation equations in Lagrangian form. A hybrid meshfree and finite-difference time-domain boundary treatment technique is utilized to represent acoustic boundaries. Finally, applications to modeling sound propagation in steady or unsteady fluids in motion are outlined, treating a number of different cases in one and two space dimensions. The Lagrangian approach shows good agreement with exact solutions. The comparison indicates that the CSP method exhibits accuracy convergence in cases with different background flow. Different acoustic boundary conditions are validated as being effective for benchmark problems in computational acoustics.
机译:尽管欧拉方法是计算声学的标准方法,但对于边界移动和气泡声学等多相系统的问题,它们的效果较差。在本文中,提出了一种拉格朗日方法来模拟运动流体中的声音传播,并使用基于粒子的方法以数值方式实现了该方法。流体动力学方程分为用于流体颗粒运动的一组流体动力学方程和用于与每个流体颗粒相对应的声学量的微扰方程。然后,引入了光滑粒子流体动力学(SPH)方法和修正光滑粒子(CSP)方法来求解拉格朗日形式的摄动方程。混合无网格和时域有限差分的边界处理技术被用来表示声边界。最后,概述了在运动中的稳态或非稳态流体中对声音传播进行建模的应用程序,在一个和两个空间维度上处理了许多不同的情况。拉格朗日方法与精确的解决方案显示出良好的一致性。比较表明,CSP方法在背景流不同的情况下表现出精度收敛。验证了不同的声学边界条件可有效解决计算声学中的基准问题。

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