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Calculation of Basic Radiation by Direct Numerical Simulation of an Axisymmetric Jet

机译:通过轴对称射流的直接数值模拟计算基本辐射

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The basic radiation of sound from forced axisymmetric jets is calculated by a hybrid approach, whereby the hydrodynamic field is calculated by an incompressible stream function-vorticity direct numerical simulation (DNS) and the sound field is calculated by Lighthill and Moehring-Kambe formulations. It is shown that because of the oscillatory behaviour of the source as a wave packet the acoustic results are more sensitive to numerical constraints as the DNS box size than the hydrodynamic results. Lighthill formulation shows a strong sensitivity to the radial boundary condition imposed on the velocity in the DNS. A zero second order radial derivative for the stream function behaves the best and a zero radial velocity condition behaves the worst. Moehring-Kambe formulation shows a strong dependence on the arbitrary location of the co-ordinate origin. A boundary correction developed to eliminate this dependence is shown to work well by achieving a good agreement between the two formulations in the dominant features of the sound radiation. The effects of the inflow momentum thickness and Reynolds number are investigated with reference to the directivity and frequency spectra of the emitted sound.
机译:通过混合方法计算来自强制轴对称射流的基本声辐射,从而通过不可压缩的流函数-涡度直接数值模拟(DNS)计算流体动力场,并通过Lighthill和Moehring-Kambe公式计算声场。结果表明,由于声源作为波包的振荡行为,与水动力结果相比,声学结果对DNS箱尺寸的数值约束更加敏感。 Lighthill公式显示出对DNS速度所施加的径向边界条件的强烈敏感性。流函数的零二阶径向导数表现最佳,而径向速度条件为零则表现最差。 Moehring-Kambe公式显示出对坐标原点任意位置的强烈依赖。通过消除声辐射的主要特征中的两个公式之间的良好一致性,消除边界依赖的边界校正效果很好。参考所发出声音的方向性和频谱,研究了流入动量厚度和雷诺数的影响。

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