【WS-FTNCFD-2022|刘铁钢】直接间断有限元方法及应用
风流知音(FLOWS:Physics & beyond)【WS-FTNCFD-2022|刘铁钢】直接间断有限元方法及应用 CFDST (2022年7月19日)1026
刘铁钢
北京航空航天大学
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专家简介:
刘铁钢,北京航空航天大学数学科学学院教授,博士生导师,研究生院副院长兼培养处处长,教育部“数学、信息与行为”重点实验室主任。于1986年和1989年获得北京大学数学系理学学士和硕士。2001年获新加坡国立大学机械工程系计算流体力学工学博士。1989--1995年,在中国科学院计算数学研究所工作。1999--2007年,在新加坡科技局高性能计算研究所工作。主要研究方向为可压缩多介质流体数值方法、气动优化与设计、空化流建模及数值模拟、爆炸冲击中流-固耦合及动边界问题数值模拟等。主持和参与多个国家自然科学基金重点项目,民机专项,中俄国际合作专项、科技部重大专项。曾任中国数学学会理事,中国工业与应用数学学会常务理事,中国计算数学学会常务理事,教育部高等教育数学类专业教学指导委员会秘书长;现任北京市计算数学学会常务理事,《计算数学》等国内期刊及《Numerical Mathematics:Theory,Methods and Applications》等国际期刊编委。报告摘要:
在本报告中,我们将介绍直接间断有限元方法,并把该方法推广应用于求解二维和三维可压缩N-S方程。针对间断有限元方法在应用于求解定常跨音速和超音速流鲁棒性差的问题,我们提出了一种改进的人工粘性格式,能有效提高数值格式的收敛性和鲁棒性,同时更容易获取人工粘性参数。针对隐式间断有限元雅可比矩阵的存储和高效求解问题,我们设计了一种基于本地矩阵的隐式间断有限元MPI并行算法,具有存储紧致、运行效率高和使用便利的优点,并开发了一个基于组件的CFD开发框架,将前沿的有限元方法框架结合OpenMP/MPI为代表的高性能计算技术集成于平台之上,实现了一个高精度、快速高效、适用于二维、三维非结构、混合、高阶网格的Euler、Navier-Stokes方程的流场求解器,成功将高阶间断有限元方法应用到了实际问题中。针对DLR-F4翼身组合体数值模拟,在国产天河二号超级计算机上使用近万核规模时,获得将近90%的并行计算效率。(本文为刘铁钢老师在2022年湍流与噪声及CFD方法暑期高级讲习班的报告)![](https://public.fangzhenxiu.com/fixComment/commentContent/imgs/1658995081201_jl9h0a.jpg?imageView2/0)
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