适应复杂场景冲击波传输的高效紧致高精度动理学方法研究
结题报告
批准号:
11971070
项目类别:
面上项目
资助金额:
52.0 万元
负责人:
刘娜
学科分类:
微分方程数值解
结题年份:
2023
批准年份:
2019
项目状态:
已结题
项目参与者:
刘娜
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中文摘要
冲击波效应是爆炸力学最重要的毁伤效应之一。本课题致力于发展新型紧致时空高精度SVGKS格式,编制相应程序,为复杂场景冲击波传输模拟服务。本课题研究的高效实用化紧致时空高精度SVGKS格式是SWENO方法与谱体积方法的首次结合,是Lax-Wendroff思想在SVGKS方法的首次应用,是紧致时空高精度格式在复杂场景冲击波模拟中的首次应用:借助加权思想,发展适用于SV方法的健壮、高效、高分辨SWENO限制器,解决SV格式高分辨率限制器效率低的不足;基于SV单元状态分布特征,分别建立连续\间断高阶动理学界面演化方法,利用SV方法特性提高界面演化函数的效率;根据Lax-Wendroff方法,发展两步紧致高精度动理学方法,提高时间步更新时运算效率。该实用化紧致时空高精度方法可以达到时空一致高阶,模板紧致,易于处理复杂边界,易于并行,高效,有望实际服务于工程复杂场景冲击波传输模拟。
英文摘要
Shock wave effect is one of the most important damage effects in explosive mechanics. This project is devoted to the study of a new compact spatial and temporal consistent high order SVGKS scheme, and developing corresponding programs for the simulation of shock wave transmission in complex scenes. The efficient and practical compact spatial and temporal consistent high order SVGKS scheme studied in this paper is a first combination of SWENO method and spectral volume method, a first application of Lax-Wendroff method in SVGKS method, and a first application of compact spatial and temporal consistent high order scheme in shock wave simulation of complex scenes. With the help of weighting technique, a robust, efficient and high-resolution SWENO limiter suitable for SV method is developed to improve the low efficiency of the high resolution limiter; based on the state distribution characteristics of SV cells, both continuous and discontinuous high-order kinetic interface evolution are established to improve the efficiency of the interface evolution function; according to Lax-Wendroff method, a two-step compact high order kinetic method is developed to improve the efficiency in time-step updating. The practical compact spatial and temporal consistent high order method can achieve high-order in space and time consistent, compact, easy to handle complex boundary, easy to parallel, efficient. And it is expected to be an effective tool for the simulation of shock wave transmission in complex scenes in practical engineering application.
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DOI:--
发表时间:2021
期刊:计算物理
影响因子:--
作者:李康;李守先;刘娜
通讯作者:刘娜
DOI:10.1088/1742-6596/2478/2/022022
发表时间:2023-06
期刊:Journal of Physics: Conference Series
影响因子:--
作者:N. Liu;P. Zhang;K. Li;Y. Q. Yu
通讯作者:N. Liu;P. Zhang;K. Li;Y. Q. Yu
DOI:10.1088/1742-6596/2478/7/072076
发表时间:2023-06
期刊:Journal of Physics: Conference Series
影响因子:--
作者:Y. Q. Yu;N. Liu;P. Zhang;A. Zhang
通讯作者:Y. Q. Yu;N. Liu;P. Zhang;A. Zhang
多介质大变形流体时空一致高阶动理学方法研究
国内基金
海外基金