时空一致高精度格式进展与展望  

Progress and Prospect in Temporal-Spatial Coupling High Order Schemes

作　　者：汪玥 李诗一 罗冬密 陈艺冰[1] WANG Yue;LI Shiyi;LUO Dongmi;CHEN Yibing(Institute of Applied Physics and Computational Mathematics,Beijing 100094)

机构地区：[1]北京应用物理与计算数学研究所,北京100094

出　　处：《中国基础科学》2024年第6期44-64,共21页China Basic Science

基　　金：国家重点研发计划项目(2022YFA1004500)

摘　　要：健壮高效的高精度格式设计一直是计算流体力学领域最具挑战性的问题之一。近年来,时空一致高精度格式得到了蓬勃发展,成为这一领域的研究热点。重点回顾单步框架下时空一致高精度格式的基本思想和统一框架,介绍三大类时空高精度格式的代表性成果及最新研究进展,并展望未来其在百亿亿次异构计算机及其他新兴领域的拓展应用。这些研究对于武器物理、惯性约束聚变、航空航天等国防工程及工业领域的发展具有重要意义。The research of high order schemes with robustness and high efficiency is one of the most challenging problems for computational fluid dynamics.Recently temporal-spatial coupling high order schemes thrive as one of the research hotspots.In this paper,the basic idea and unified framework of single stage temporalspatial coupling high order schemes are reviewed.Three typical high order schemes are introduced with representative achievements and latest progresses.The future application with exascale computing and other emerging fields is also discussed.The related research will play a very important role for defense engineering such as weapon physics,inertial confinement fusion,aeronautics and astronautics.

关 键 词：计算流体力学 时空一致高精度 数值模拟 

分 类 号：O242.1[理学—计算数学]