论文标题
用平滑颗粒流体动力学模拟尘埃混合物时,解决了过度阻尼问题的解决方案
A solution to the overdamping problem when simulating dust-gas mixtures with smoothed particle hydrodynamics
论文作者
论文摘要
我们为Laibe&Price(2012)发现的过度阻尼问题提供了解决方案,当时使用平滑的颗粒流体动力学使用两组不同的颗粒模拟了尘埃气体混合物。我们的解决方案是通过重建速度场来计算阻力时,计算气体和尘埃颗粒对之间的阻力,类似于Godunov型求解器中的程序。这解决了以可忽略的计算成本的过度阻尼问题,但存储速度衍生物需要额外的内存。我们采用坡度限制器来避免冲击时伪造的振荡,发现范里尔单调的中心限制器最有效。
We present a fix to the overdamping problem found by Laibe & Price (2012) when simulating strongly coupled dust-gas mixtures using two different sets of particles using smoothed particle hydrodynamics. Our solution is to compute the drag at the barycentre between gas and dust particle pairs when computing the drag force by reconstructing the velocity field, similar to the procedure in Godunov-type solvers. This fixes the overdamping problem at negligible computational cost, but with additional memory required to store velocity derivatives. We employ slope limiters to avoid spurious oscillations at shocks, finding the van Leer Monotonized Central limiter most effective.