溃坝流是水利工程中常见的一种自由表面流动问题,准确模拟溃坝流问题具有重要的工程意义.B样条物质点法(BSMPM)作为一种物质点法(material point method, MPM)的改进算法,其提高了物质点的计算精度和收敛性,且在自由表面流动问题中有独...溃坝流是水利工程中常见的一种自由表面流动问题,准确模拟溃坝流问题具有重要的工程意义.B样条物质点法(BSMPM)作为一种物质点法(material point method, MPM)的改进算法,其提高了物质点的计算精度和收敛性,且在自由表面流动问题中有独特的算法优势.基于B样条物质点法,通过引入人工状态方程,发展了一种弱可压缩B样条物质点法(WC-BSMPM);开展溃坝流问题的模拟研究,分析B样条插值基函数阶数对模拟结果的影响.结果表明:模拟所得流体波前位置、波前流速及给定位置处的高程变化与已有实验结果吻合较好;同时,随着B样条基函数阶数的增加,模拟结果与试验结果吻合度逐渐提高.随着基函数阶数的增加,计算耗时呈约1.5倍增长;不同阶次B样条物质点法的计算耗时随背景网格尺寸的增长率基本一致,约呈线性增长.验证了弱可压缩B样条物质点法模拟溃坝流问题的有效性,为模拟溃坝流问题提供了一种新的思路和方法.展开更多
The particle simulation method is used to solve free-surface slurry flow problems that may be encountered in several scientific and engineering fields.The main idea behind the use of the particle simulation method is ...The particle simulation method is used to solve free-surface slurry flow problems that may be encountered in several scientific and engineering fields.The main idea behind the use of the particle simulation method is to treat granular or other materials as an assembly of many particles.Compared with the continuum-mechanics-based numerical methods such as the finite element and finite volume methods,the movement of each particle is accurately described in the particle simulation method so that the free surface of a slurry flow problem can be automatically obtained.The major advantage of using the particle simulation method is that only a simple numerical algorithm is needed to solve the governing equation of a particle simulation system.For the purpose of illustrating how to use the particle simulation method to solve free-surface flow problems,three examples involving slurry flow on three different types of river beds have been considered.The related particle simulation results obtained from these three examples have demonstrated that:1) The particle simulation method is a promising and useful method for solving free-surface flow problems encountered in both the scientific and engineering fields;2) The shape and irregular roughness of a river bed can have a significant effect on the free surface morphologies of slurry flow when it passes through the river bed.展开更多
文摘溃坝流是水利工程中常见的一种自由表面流动问题,准确模拟溃坝流问题具有重要的工程意义.B样条物质点法(BSMPM)作为一种物质点法(material point method, MPM)的改进算法,其提高了物质点的计算精度和收敛性,且在自由表面流动问题中有独特的算法优势.基于B样条物质点法,通过引入人工状态方程,发展了一种弱可压缩B样条物质点法(WC-BSMPM);开展溃坝流问题的模拟研究,分析B样条插值基函数阶数对模拟结果的影响.结果表明:模拟所得流体波前位置、波前流速及给定位置处的高程变化与已有实验结果吻合较好;同时,随着B样条基函数阶数的增加,模拟结果与试验结果吻合度逐渐提高.随着基函数阶数的增加,计算耗时呈约1.5倍增长;不同阶次B样条物质点法的计算耗时随背景网格尺寸的增长率基本一致,约呈线性增长.验证了弱可压缩B样条物质点法模拟溃坝流问题的有效性,为模拟溃坝流问题提供了一种新的思路和方法.
基金Project(11272359)supported by the National Natural Science Foundation of China
文摘The particle simulation method is used to solve free-surface slurry flow problems that may be encountered in several scientific and engineering fields.The main idea behind the use of the particle simulation method is to treat granular or other materials as an assembly of many particles.Compared with the continuum-mechanics-based numerical methods such as the finite element and finite volume methods,the movement of each particle is accurately described in the particle simulation method so that the free surface of a slurry flow problem can be automatically obtained.The major advantage of using the particle simulation method is that only a simple numerical algorithm is needed to solve the governing equation of a particle simulation system.For the purpose of illustrating how to use the particle simulation method to solve free-surface flow problems,three examples involving slurry flow on three different types of river beds have been considered.The related particle simulation results obtained from these three examples have demonstrated that:1) The particle simulation method is a promising and useful method for solving free-surface flow problems encountered in both the scientific and engineering fields;2) The shape and irregular roughness of a river bed can have a significant effect on the free surface morphologies of slurry flow when it passes through the river bed.
