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基于精确缩尺和粗粒化的稻种颗粒系统离散元仿真方法

Discrete element simulation method for rice grain systems based on precise scaling and coarsening

  • 摘要: 针对工程尺度大规模颗粒系统离散元(discrete element method,DEM)仿真效率低以及基于粗粒化理论的离散元仿真方法适用性有限等问题,该研究提出了一种基于精确缩尺与粗粒化的大规模稻种颗粒系统的离散元仿真方法,旨在提高大规模颗粒系统离散元仿真效率。首先,基于量纲分析推导精确缩尺系统的物理量缩放定律,利用代表性体积单元(representative volume element,RVE)在粗粒化系统与原始系统模型之间建立质量与动量的近似守恒关系,获得宏观与细观尺度下相应物理量的缩放关系。然后,为验证本文方法的正确性,以杂交稻台香812稻种为研究对象,以休止角为试验指标,将本文方法应用于稻种内部坍塌卸料堆积、侧壁坍塌及无底圆筒堆积仿真以获取仿真休止角,设置7组稻种粒径缩放系数(1.0、1.5、2.0、2.5、3.0、3.5、4.0),对应的稻种颗粒粒径范围为2.76~11.04 mm,并将仿真结果与真实试验对比。最后,通过与变比例广义粗粒化方法比较,验证本文方法在大规模颗粒系统离散元仿真计算时间优势。结果表明,随着稻种粒径缩放系数的增大,3种堆积仿真中休止角整体呈现减小趋势,休止角相对误差整体呈现增大趋势,但计算时间减少。当缩放系数为1.0时,本方法与变比例广义粗粒化方法的计算时间分别为11.67、35.00 h,计算时间明显减少;当缩放系数为2.0~4.0时,本方法仿真计算时间也明显低于变比例广义粗粒化方法。研究结果为大规模颗粒系统的离散元仿真提供了理论依据。

     

    Abstract: A particle system can often be required to analyze the interaction between rice seeds and agricultural machinery components in agricultural engineering, especially in precision rice sowing, efficient harvesting, and grain storage and transportation. The discrete element method (DEM) has been widely used to optimize the component parameters and operational performance. However, the long computation time of the DEM is confined to the rice seed systems, due to the irregular shape of the rice seeds in practical engineering. Ordinary computer hardware cannot fully meet the large-scale requirements of computation. Currently, the maximum number of particles in DEM can reach tens of millions, while the thousands of trillions are usually observed in actual agricultural engineering. Therefore, it cannot meet the simulation requirements of actual engineering, even with the computer accelerators. The significant challenge can remain to simulate the rice seed particle systems at the large-scale of agricultural engineering. Existing coarsening is also limited for the applicability of the DEM. This study aims to simulate the large-scale rice seed particle systems using precise scaling and coarsening in the DEM. The simulation efficiency was also improved to verify the effectiveness. The scaling relationship of the physical quantities was then derived for the precise scaling systems using dimensional analysis. The representative volume units were used to establish an approximate conservation relationship of the mass and momentum between coarse-grained and original systems at macroscopic and microscopic scales. The hybrid rice variety, Taixiang 812 (with a real grain size of 2.76 mm) was taken as the research object. The angle of repose was used as the experimental indicator. Three sets were applied as the target variables, including the internal collapse unloading and stacking, side wall collapse, and bottomless cylindrical stacking of the rice seeds. Seven scaling factors (1.0, 1.5, 2.0, 2.5, 3.0, 3.5, and 4.0) were selected for the simulation, corresponding to a grain size range of 2.76~11.04 mm. A comparison was also made with the real experiment. The results show that there was some increase in the relative errors between the simulated and the experimental values from the three sets of test angles of repose, as the particle size of the rice seeds increased. When the particle size of the rice seeds was 2.76 mm, the relative errors of the three sets were 5.35%, 3.01%, and 2.92%, respectively, indicating an acceptable range. When the grain size of the rice seeds was 2.76 and 5.52 mm (the scaling factors of 1 and 2), the computational efficiency was reduced from 35.00 and 24.70 h to 11.67 and 3.61 h, compared with the variable proportion generalized coarsening. The large-scale rice seed particle systems can be expected to improve the computational efficiency and the accuracy of the simulation using precise scaling and coarsening in the DEM. The finding can also provide a theoretical basis for the large-scale particle systems at the engineering scale.

     

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