| 引用本文: | 徐志宏,汤文辉,张若棋.改进的接触算法及其在光滑粒子流体动力学中的应用.[J].国防科技大学学报,2006,28(4):32-36.[点击复制] |
| XU Zhihong,TANG Wenhui,ZHANG Ruoqi.A Modified Contact Algorithm for Smoothed Particle Hydrodynamics[J].Journal of National University of Defense Technology,2006,28(4):32-36[点击复制] |
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| 改进的接触算法及其在光滑粒子流体动力学中的应用 |
| 徐志宏, 汤文辉, 张若棋 |
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(国防科技大学 理学院，湖南 长沙 410073)
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| 摘要: |
| 采用以黎曼解描述粒子间相互作用的接触算法，模拟一维情况下包含间断的流场。在弱间断的条件下，采用弱波近似的黎曼解来描述粒子间的相互作用；在强间断的条件下，则引入非迭代黎曼解来描述粒子间的相互作用。并引入Taylor展开思想，提高了接触算法在自由边界的计算精度。该算法无需引入人为粘性，程序结构简洁。数值计算表明，改进后的接触算法能很好地描述强间断，并有效改善了原始接触算法在自由面的计算缺陷。 |
| 关键词: 光滑粒子方法 弱波近似 非迭代黎曼解 间断 |
| DOI： |
| 投稿日期：2005-11-22 |
| 基金项目:高等学校博士学科点专项科研基金项目(20059998005) |
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| A Modified Contact Algorithm for Smoothed Particle Hydrodynamics |
| XU Zhihong, TANG Wenhui, ZHANG Ruoqi |
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(College of Science, National Univ. of Defense Technology, Changsha 410073, China)
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| Abstract: |
| A contact algorithm which describes the contact interaction between SPH particles by means of Riemann solution was used to calculate the discontinuity of the variables defining the one-dimension fluxes. A weak wave approximation of the Riemann solver was adopted to deal with the weak discontinuity, while the non-iterative Riemann solution was introduced in strong discontinuity. Furthermore Taylor series was used to improve the calculation accuracy on the free boundary. In this case, there was no need to use artificial viscosity for the numerical viscosity of the new SPH algorithm. Compared with the original algorithm, the simulation results show that the modified contact algorithm has a good description of strong discontinuity, and improvement in dealing with the free surface. |
| Keywords: smooth particle hydrodynamic weak wave approximation non-iterative Riemann solution discontinuity |
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