Inflow and outflow numerical simulation using least-square moving particle semi-implicit method on GPU

IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Yun Kong, Shuai Zhang, Jifa Zhang, Yao Zheng
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Abstract

The implementation of the inlet and outlet boundaries is a key issue in the particle method. The boundary implementation at the inlet applicable to the original MPS method is difficult to be applied to the LSMPS method with higher accuracy. Advanced inlet and outlet boundary implementations are proposed in this study, including inlet boundaries with velocity profile, static pressure, total pressure, and deleted particle detection method for outlet boundary. Three pipe flow cases are used to verify the accuracy of inlet boundaries. For the velocity inlet boundary, the calculation of velocity near the central axis of the pipe has an average error of 0.17%. For the static pressure inlet boundary, the average error of pressure calculation near the central axis is 1.80%. For the total pressure inlet boundary, the numerical final velocity of water in the pipe has a 3.02% error compared with the theoretical result. A reservoir with two inlets and one outlet is used to verify the applicability of the above implementation in a 3D engineering case with five different inlet velocities. The results show that for different velocity inlets, the simulations obtain different filling times, and for velocity and pressure distributions near the outlet in accordance with the theoretical situation. The implementation proposed in this study can be used for practical engineering problems.

Abstract Image

在 GPU 上使用最小平方移动粒子半隐式方法进行流入和流出数值模拟
入口和出口边界的实现是粒子法的一个关键问题。适用于原始 MPS 方法的入口边界实现很难应用于精度更高的 LSMPS 方法。本研究提出了先进的入口和出口边界实现方法,包括带有速度剖面、静压、总压的入口边界,以及用于出口边界的删除粒子检测方法。我们使用了三个管道流动案例来验证入口边界的准确性。对于速度入口边界,管道中心轴附近的速度计算平均误差为 0.17%。对于静压入口边界,中心轴附近的压力计算平均误差为 1.80%。对于总压入口边界,管道中水的最终流速数值计算结果与理论结果相比误差为 3.02%。使用一个具有两个入口和一个出口的水库,在五种不同入口速度的三维工程案例中验证了上述实现方法的适用性。结果表明,对于不同速度的入口,模拟得到的充注时间不同,出口附近的速度和压力分布也与理论情况一致。本研究提出的实现方法可用于实际工程问题。
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来源期刊
Computational Particle Mechanics
Computational Particle Mechanics Mathematics-Computational Mathematics
CiteScore
5.70
自引率
9.10%
发文量
75
期刊介绍: GENERAL OBJECTIVES: Computational Particle Mechanics (CPM) is a quarterly journal with the goal of publishing full-length original articles addressing the modeling and simulation of systems involving particles and particle methods. The goal is to enhance communication among researchers in the applied sciences who use "particles'''' in one form or another in their research. SPECIFIC OBJECTIVES: Particle-based materials and numerical methods have become wide-spread in the natural and applied sciences, engineering, biology. The term "particle methods/mechanics'''' has now come to imply several different things to researchers in the 21st century, including: (a) Particles as a physical unit in granular media, particulate flows, plasmas, swarms, etc., (b) Particles representing material phases in continua at the meso-, micro-and nano-scale and (c) Particles as a discretization unit in continua and discontinua in numerical methods such as Discrete Element Methods (DEM), Particle Finite Element Methods (PFEM), Molecular Dynamics (MD), and Smoothed Particle Hydrodynamics (SPH), to name a few.
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