In classical smoothed particle hydrodynamics(SPH)fluid simulation approaches,the smoothing length of Lagrangian particles is typically constant.One major disadvantage is the lack of adaptiveness,which may compromise a...In classical smoothed particle hydrodynamics(SPH)fluid simulation approaches,the smoothing length of Lagrangian particles is typically constant.One major disadvantage is the lack of adaptiveness,which may compromise accuracy in fluid regions such as splashes and surfaces.Attempts to address this problem used variable smoothing lengths.Yet the existing methods are computationally complex and non-efficient,because the smoothing length is typically calculated using iterative optimization.Here,we propose an efficient non-iterative SPH fluid simulation method with variable smoothing length(VSLSPH).VSLSPH correlates the smoothing length to the density change,and adaptively adjusts the smoothing length of particles with high accuracy and low computational cost,enabling large time steps.Our experimental results demonstrate the advantages of the VSLSPH approach in terms of its simulation accuracy and efficiency.展开更多
A dual-support smoothed particle hydrodynamics(DS-SPH)that allows variable smoothing lengths while satisfying the conservations of linear momentum,angular momentum and energy is developed.The present DS-SPH is inspire...A dual-support smoothed particle hydrodynamics(DS-SPH)that allows variable smoothing lengths while satisfying the conservations of linear momentum,angular momentum and energy is developed.The present DS-SPH is inspired by the dual-support,a concept introduced from dual-horizon peridynamics from the authors and applied here to SPH so that the unbalanced interactions between the particles with different smoothing lengths can be correctly considered and computed.Conventionally,the SPH formulation employs either the influence domain or the support domain.The concept of dual-support identifies that the influence domain and the support domain involves the duality and should be simultaneously in the SPH formulation when variable smoothing lengths are used.The DS-SPH formulation can be implemented into conventional SPH codes with minimal changes and also without compromising the computational efficiency.A number of numerical examples involving weakly compressible.fluid are presented to demonstrate the capability of the method.展开更多
计算效率低一直以来都是SPH方法(光滑粒子流体动力学方法)发展过程中面临的技术难题,而变光滑长度SPH方法既可以提高粒子非均匀分布时核函数计算精度,又能保证邻近粒子相互作用的对称匹配,因此对提高计算效率十分有益。本文采用空间变...计算效率低一直以来都是SPH方法(光滑粒子流体动力学方法)发展过程中面临的技术难题,而变光滑长度SPH方法既可以提高粒子非均匀分布时核函数计算精度,又能保证邻近粒子相互作用的对称匹配,因此对提高计算效率十分有益。本文采用空间变光滑长度SPH方法,并提出了一种新型的高效、高鲁棒性搜索方法,即平衡型树形搜索法(balanced alternative digital tree search algorithm,B-ADT),开展了二维楔形体入水冲击问题的应用研究,模拟结果显示文中所采用的空间变光滑长度SPH方法和平衡型树形搜索法,在保证计算精度的情况下,可以有效提高计算效率,这为下一步开展复杂工程应用打下重要基础。展开更多
基金the Key Program of National Natural Science Foundation of China,No.62237001National Natural Science Foundation for Excellent Young Scholars,No.6212200101+2 种基金National Natural Science Foundation for General Program,Nos.62176066 and 61976052Guangdong Provincial Science and Technology Innovation Strategy Fund,No.2019B121203012and Guangzhou Science and Technology Plan,No.202007040005.
文摘In classical smoothed particle hydrodynamics(SPH)fluid simulation approaches,the smoothing length of Lagrangian particles is typically constant.One major disadvantage is the lack of adaptiveness,which may compromise accuracy in fluid regions such as splashes and surfaces.Attempts to address this problem used variable smoothing lengths.Yet the existing methods are computationally complex and non-efficient,because the smoothing length is typically calculated using iterative optimization.Here,we propose an efficient non-iterative SPH fluid simulation method with variable smoothing length(VSLSPH).VSLSPH correlates the smoothing length to the density change,and adaptively adjusts the smoothing length of particles with high accuracy and low computational cost,enabling large time steps.Our experimental results demonstrate the advantages of the VSLSPH approach in terms of its simulation accuracy and efficiency.
基金The authors acknowledge the supports from the ERC-CoG(Computational Modeling and Design of Lithium-ion Batteries(COMBAT)),RISE-BESTOFRAC and National Science Foundation of China(51474157).
文摘A dual-support smoothed particle hydrodynamics(DS-SPH)that allows variable smoothing lengths while satisfying the conservations of linear momentum,angular momentum and energy is developed.The present DS-SPH is inspired by the dual-support,a concept introduced from dual-horizon peridynamics from the authors and applied here to SPH so that the unbalanced interactions between the particles with different smoothing lengths can be correctly considered and computed.Conventionally,the SPH formulation employs either the influence domain or the support domain.The concept of dual-support identifies that the influence domain and the support domain involves the duality and should be simultaneously in the SPH formulation when variable smoothing lengths are used.The DS-SPH formulation can be implemented into conventional SPH codes with minimal changes and also without compromising the computational efficiency.A number of numerical examples involving weakly compressible.fluid are presented to demonstrate the capability of the method.
文摘计算效率低一直以来都是SPH方法(光滑粒子流体动力学方法)发展过程中面临的技术难题,而变光滑长度SPH方法既可以提高粒子非均匀分布时核函数计算精度,又能保证邻近粒子相互作用的对称匹配,因此对提高计算效率十分有益。本文采用空间变光滑长度SPH方法,并提出了一种新型的高效、高鲁棒性搜索方法,即平衡型树形搜索法(balanced alternative digital tree search algorithm,B-ADT),开展了二维楔形体入水冲击问题的应用研究,模拟结果显示文中所采用的空间变光滑长度SPH方法和平衡型树形搜索法,在保证计算精度的情况下,可以有效提高计算效率,这为下一步开展复杂工程应用打下重要基础。
