The 3D Elliptical Parcel-In-Cell (EPIC) method

Journal of Computational Physics: X Pub Date : 2023-11-01 DOI:10.1016/j.jcpx.2023.100136

Matthias Frey , David Dritschel , Steven Böing

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引用次数: 1

Abstract

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.

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三维椭圆单元包(EPIC)方法

我们提出了用于模拟流体流动和类似连续体系统的椭圆单元内包(EPIC)方法的三维版本。该方法使用椭球体包裹的空间填充集来表示流，这些椭球体包裹在流场中移动、旋转和变形。此外，包裹可以携带任意数量的属性，如涡度、密度、温度等，这些属性通常在移动的包裹上随时间而变化。为了从插值的涡度场计算速度场和获得包属性趋势，采用了底层网格。混合是通过允许包裹在过度变形时分裂，以及通过将非常小的包裹与最近的其他包裹合并来实现的。提供了几个测试，说明了该方法的行为，并证明了其在模拟复杂的，浮力驱动的湍流流动方面的有效性。结果与大涡模拟(LES)和直接数值模拟(DNS)模型进行了比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Computational Physics: X Physics and Astronomy-Physics and Astronomy (miscellaneous)

CiteScore

6.10

自引率

0.00%

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