面向光滑粒子流体动力学(SPH)流体的湍流细节模拟

Turbulence Details Simulation Toward Smoothed Particle Hydrodynamics(SPH)Fluid

  • 摘要: 研究基于光滑粒子流体动力学(smoothed particle hydrodynamics,SPH)方法的恢复涡流和湍流细节的方法,缓解因采用人工黏度而产生的数值耗散.根据由黏性力引起的动能损失率对离散点的涡度进行修正.通过流函数将涡度变化恢复到速度场,避免求解Biot-Savart积分这一耗时过程.该方法基于旋度计算,不仅可以增强现有的涡流,还可在潜在位置产生新的湍流,并且其易于集成到现有SPH方法中.实验证明,该方法可以逼真地模拟湍流细节,并实现不同强度水平的增强效果.

     

    Abstract: To reduce the numerical dissipation of smoothed particle hydrodynamics (SPH) method with artificial viscosity, a method to restore vortex and turbulence details was studied. First, according to the kinetic energy change rate in the cause of viscous force, the vorticity at discrete points was corrected. Then, the vorticity was restored to velocity field based on stream function to avoid the time-consuming process for Biot-Savart integral solution. Based on the calculation of the vorticity, the proposed method can not only enhance the existing vortex, but also generate new turbulence at potential locations, and easy integrate into existing SPH methods. Experiment results show that this method can realistically simulate turbulent details and achieve enhancement effects at different intensity levels.

     

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