改进SPH方法在流动问题中的应用研究
Study on the Application of Improved SPH Method in Flow Problems
DOI: 10.12677/ijfd.2024.124009, PDF,   
作者: 尤 一*, 韩 豪, 李 晓, 吕世伟：海军潜艇学院基础部，山东 青岛
关键词: 光滑粒子流体动力学；简化有限差分法；顶盖驱动流；SPH； SFDI； Lid-Driven Flow
摘要: 光滑粒子流体动力学(SPH)方法已被证明在模拟流动问题方面具有巨大的潜力。本文将采用基于弱可压缩假设的δ-SPH方法来对流动问题进行模拟，但是由于传统的插值方案精度不高，导致计算结果误差较大。本文中采用了改进的插值方案应用于顶盖驱动流算例，并将计算结果与传统方案的计算结果以及实验数据进行对比，结果证明了该新方案的改进效果。
Abstract: The Smoothed Particle Hydrodynamics (SPH) method has proved to have great potentials in simulating flow problems. This paper will use the δ-SPH method based on the assumption of weak compressibility to simulate flow problems. Due to the low accuracy of conventional interpolation schemes, the calculation results have significant errors. In this paper, an improved interpolation scheme will be applied to the lid-driven flow case, and the calculation results will be compared with those of the conventional scheme and experimental data. The results proved the improvement effect of the new scheme.
文章引用：尤一, 韩豪, 李晓, 吕世伟. 改进SPH方法在流动问题中的应用研究[J]. 流体动力学, 2024, 12(4): 88-96. https://doi.org/10.12677/ijfd.2024.124009

参考文献

[1] Wu, G.X., Ma, Q.W. and Eatock Taylor, R. (1998) Numerical Simulation of Sloshing Waves in a 3D Tank Based on a Finite Element Method. Applied Ocean Research, 20, 337-355. [Google Scholar] [CrossRef] 
[2] Chen, B. and Nokes, R. (2005) Time-Independent Finite Difference Analysis of Fully Non-Linear and Viscous Fluid Sloshing in a Rectangular Tank. Journal of Computational Physics, 209, 47-81. [Google Scholar] [CrossRef] 
[3] Monaghan, J.J. (1994) Simulating Free Surface Flows with SPH. Journal of Computational Physics, 110, 399-406. [Google Scholar] [CrossRef] 
[4] Wang, L., Khayyer, A., Gotoh, H., Jiang, Q. and Zhang, C. (2019) Enhancement of Pressure Calculation in Projection-Based Particle Methods by Incorporation of Background Mesh Scheme. Applied Ocean Research, 86, 320-339. [Google Scholar] [CrossRef] 
[5] Inutsuka, S. (2002) Reformulation of Smoothed Particle Hydrodynamics with Riemann Solver. Journal of Computational Physics, 179, 238-267. [Google Scholar] [CrossRef] 
[6] Antuono, M., Colagrossi, A. and Marrone, S. (2012) Numerical Diffusive Terms in Weakly-Compressible SPH Schemes. Computer Physics Communications, 183, 2570-2580. [Google Scholar] [CrossRef] 
[7] Marrone, S., Antuono, M., Colagrossi, A., Colicchio, G., Le Touzé, D. and Graziani, G. (2011) δ-SPH Model for Simulating Violent Impact Flows. Computer Methods in Applied Mechanics and Engineering, 200, 1526-1542. [Google Scholar] [CrossRef] 
[8] Gotoh, H. and Khayyer, A. (2018) On the State-of-the-Art of Particle Methods for Coastal and Ocean Engineering. Coastal Engineering Journal, 60, 79-103. [Google Scholar] [CrossRef] 
[9] Ma, Q.W. (2008) A New Meshless Interpolation Scheme for MLPG_R Method. CMES: Computer Modeling in Engineering & Sciences, 23, 75-89.
[10] Ghia, U., Ghia, K.N. and Shin, C.T. (1982) High-Resolutions for Incompressible Flow Using the Navier-Stokes Equations and a Multigrid Method. Journal of Computational Physics, 48, 387-411. [Google Scholar] [CrossRef] 

为你推荐