VOF with center of mass and Lagrangian particles (VCLP): a surface tracking and advection method for incompressible fluids

IF 2.2 3区工程技术 Q2 MECHANICS Theoretical and Computational Fluid Dynamics Pub Date : 2022-10-16 DOI:10.1007/s00162-022-00628-9

Richards C Sunny, Juan Horrillo, Wei Cheng

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Abstract

A novel surface tracking, and advection algorithm for incompressible fluid flows in two and three dimensions is presented. This method based on the volume-of-fluid (VOF) method, is named VOF-with-center-of-mass-and-Lagrangian-particles (VCLP), and it uses spatially and temporally localized Lagrangian particles (LPs) inside a finite volume framework. The fluid surface is recaptured and reconstructed piecewise using the mean slope and curvature. The fluid mass inside each cell is discretized spatially by LPs and distributed as blue noise. LPs are then advected cell by cell with a choice of two different advection schemes in time using interpolated velocity and approximated acceleration fields. VCLP continuously tracks the center of mass of the fluid parcels in the Lagrangian way and this helps to reduce the errors due to numerical acceleration that results from lack of information to reconstruct the interface accurately. VCLP’s performance is evaluated using standard benchmark tests in 2D and 3D such as translation, single vortex, deformation, and Zalesak’s tests from the literature. VCLP is applied to TSUNAMI2D, a 2D Navier–Stokes model to simulate shoaling and breaking of waves.

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具有质心和拉格朗日粒子的VOF (VCLP):一种不可压缩流体表面跟踪和平流方法

提出了一种新的二维和三维不可压缩流体表面跟踪和平流算法。该方法基于流体体积法(VOF)，命名为质心-拉格朗日粒子法(VCLP)，在有限体积框架内使用空间和时间局域化的拉格朗日粒子(lp)。利用平均斜率和曲率重新捕获并分段重建流体表面。每个细胞内的流体质量被lp在空间上离散，并以蓝噪声的形式分布。然后使用插值速度场和近似加速度场，选择两种不同的平流方案，逐细胞对LPs进行平流。VCLP以拉格朗日方式连续跟踪流体包裹的质心，这有助于减少由于缺乏信息而导致的数值加速度误差，从而准确地重建界面。使用2D和3D的标准基准测试(如平移、单涡、变形和文献中的Zalesak测试)来评估VCLP的性能。将VCLP应用于二维Navier-Stokes模型TSUNAMI2D中，用于模拟海浪的浅滩和破碎。

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来源期刊

Theoretical and Computational Fluid Dynamics 物理-力学

CiteScore

5.80

自引率

2.90%

发文量

审稿时长

>12 weeks

期刊介绍： Theoretical and Computational Fluid Dynamics provides a forum for the cross fertilization of ideas, tools and techniques across all disciplines in which fluid flow plays a role. The focus is on aspects of fluid dynamics where theory and computation are used to provide insights and data upon which solid physical understanding is revealed. We seek research papers, invited review articles, brief communications, letters and comments addressing flow phenomena of relevance to aeronautical, geophysical, environmental, material, mechanical and life sciences. Papers of a purely algorithmic, experimental or engineering application nature, and papers without significant new physical insights, are outside the scope of this journal. For computational work, authors are responsible for ensuring that any artifacts of discretization and/or implementation are sufficiently controlled such that the numerical results unambiguously support the conclusions drawn. Where appropriate, and to the extent possible, such papers should either include or reference supporting documentation in the form of verification and validation studies.