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首页> 外文期刊>Journal of Computational Physics >A numerical source of small-scale number-density fluctuations in Eulerian-Lagrangian simulations of multiphase flows
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A numerical source of small-scale number-density fluctuations in Eulerian-Lagrangian simulations of multiphase flows

机译：多相流欧拉-拉格朗日模拟中小规模数密度波动的数值来源

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摘要

Eulerian-Lagrangian simulations of multiphase flow are known to suffer from two errors that can introduce small-scale fluctuations in the number-density of the dispersed phase. These errors can be reduced by increasing the number of particles in the simulation. Here, we present results to demonstrate that a third error exists that can also generate small-scale number-density fluctuations. In contrast to the two known errors, this error cannot be lowered by increasing the number of particles. Analysis shows that this error is caused by spatial variation at the subgrid scale in the interpolation error of the fluid velocity to the particle location. If the particle velocity divergence is zero, the particle concentration error remains at the subgrid scale. However, if particles preferentially accumulate either due to their inertia or due to divergence of the underlying fluid-velocity field, this error manifests as number-density fluctuations on the grid scale. The only mechanism of reducing these errors is through higher-order accurate interpolation. By studying two model problems, estimates for the errors are derived. These estimates are shown to be quite accurate for simulations of shock and expansion waves interacting with particles.
机译：已知多相流的欧拉-拉格朗日模拟存在两个误差，这些误差会导致分散相数密度的小范围波动。通过增加模拟中的粒子数量，可以减少这些误差。在这里，我们提供结果以证明存在第三种误差，该误差也可能会产生小规模的数字密度波动。与两个已知的错误相反，不能通过增加粒子数来降低此错误。分析表明，该误差是由于流体速度到粒子位置的插值误差在亚网格尺度上的空间变化引起的。如果粒子速度散度为零，则粒子浓度误差将保持在子网格级别。但是，如果粒子由于其惯性或由于下面的流体速度场的发散而优先聚集，则此误差表现为网格规模上的数密度波动。减少这些错误的唯一机制是通过高阶精确插值。通过研究两个模型问题，可以得出误差的估计值。这些估计对于模拟与粒子相互作用的冲击波和膨胀波非常准确。

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