The 3D Elliptical Parcel-In-Cell (EPIC) method
The 3D Elliptical Parcel-In-Cell (EPIC) method
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DOI：
10.1016/j.jcpx.2023.100136
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发表时间：
2023-11
影响因子：
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通讯作者：
Matthias Frey;David Dritschel;Steven Böing
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文献类型：
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作者：
Matthias Frey;David Dritschel;Steven Böing
我们提出了三维版本的椭圆Parcel-In-Cell（EPIC）方法模拟流体流动和类似的连续系统。该方法表示一个流使用一组空间填充的椭圆形包裹，移动，旋转和变形的流场。此外，包裹可以携带任何数量的属性，例如涡度、密度、温度等，这些属性通常在移动包裹上随时间演变。一个基本的网格是用于效率计算速度场从插值涡度场，并在获得地块属性的趋势。通过允许地块在过度变形时拆分，以及通过将非常小的地块与最近的其他地块合并，可以实现混合。提供了几个测试，说明该方法的行为，并证明其有效性，在模拟复杂的，浮力驱动的湍流流体流动。将计算结果与大涡模拟（LES）和直接数值模拟（DNS）模式进行了比较。
We present the three-dimensional version of the Elliptical Parcel-In-Cell (EPIC) method for the simulation of fluid flows and analogous continuum systems. The method represents a flow using a space-filling set of ellipsoidal parcels, which move, rotate and deform in the flow field. Additionally, parcels may carry any number of attributes, such as vorticity, density, temperature, etc, which generally evolve in time on the moving parcels. An underlying grid is used for efficiency in computing the velocity field from the interpolated vorticity field, and in obtaining parcel attribute tendencies. Mixing is enabled by permitting parcels to split when excessively deformed, and by merging very small parcels with the nearest other parcel. Several tests are provided which illustrate the behaviour of the method and demonstrate its effectiveness in modelling complex, buoyancy-driven turbulent fluid flows. The results are compared with a large eddy simulation (LES) and a direct numerical simulation (DNS) model.