亲爱的研友该休息了!由于当前在线用户较少,发布求助请尽量完整地填写文献信息,科研通机器人24小时在线,伴您度过漫漫科研夜!身体可是革命的本钱,早点休息,好梦!

Effective adjoint approaches for computational fluid dynamics

雅可比矩阵与行列式 自动微分 计算机科学 数学优化 伴随方程 加速 可扩展性 并行计算 航程(航空) 应用数学 偏微分方程 计算科学 数学 理论计算机科学 算法 计算 数学分析 复合材料 数据库 材料科学
作者
Gaetan K. Kenway,Charles A. Mader,Ping He,Joaquim R. R. A. Martins
出处
期刊:Progress in Aerospace Sciences [Elsevier BV]
卷期号:110: 100542-100542 被引量:172
标识
DOI:10.1016/j.paerosci.2019.05.002
摘要

The adjoint method is used for high-fidelity aerodynamic shape optimization and is an efficient approach for computing the derivatives of a function of interest with respect to a large number of design variables. Over the past few decades, various approaches have been used to implement the adjoint method in computational fluid dynamics solvers. However, further advances in the field are hindered by the lack of performance assessments that compare the various adjoint implementations. Therefore, we propose open benchmarks and report a comprehensive evaluation of the various approaches to adjoint implementation. We also make recommendations on effective approaches, that is, approaches that are efficient, accurate, and have a low implementation cost. We focus on the discrete adjoint method and describe adjoint implementations for two computational fluid dynamics solvers by using various methods for computing the partial derivatives in the adjoint equations and for solving those equations. Both source code transformation and operator-overloading algorithmic differentiation tools are used to compute the partial derivatives, along with finite differencing. We also examine the use of explicit Jacobian and Jacobian-free solution methods. We quantitatively evaluate the speed, scalability, memory usage, and accuracy of the various implementations by running cases that cover a wide range of Mach numbers, Reynolds numbers, mesh topologies, mesh sizes, and number of CPU cores. We conclude that the Jacobian-free method using source code transformation algorithmic differentiation to compute the partial derivatives is the best option because it computes exact derivatives with the lowest CPU time and the lowest memory requirements, and it also scales well up to 10 million cells and over one thousand CPU cores. The superior performance of this approach is primarily due to its Jacobian-free adjoint strategy. The cases presented herein are publicly available and represent platform-independent benchmarks for comparing other current and future adjoint implementations. Our results and discussion provide a guide for discrete adjoint implementations, not only for computational fluid dynamics but also for a wide range of other partial differential equation solvers.
最长约 10秒,即可获得该文献文件

科研通智能强力驱动
Strongly Powered by AbleSci AI
更新
PDF的下载单位、IP信息已删除 (2025-6-4)

科研通是完全免费的文献互助平台,具备全网最快的应助速度,最高的求助完成率。 对每一个文献求助,科研通都将尽心尽力,给求助人一个满意的交代。
实时播报
tutu完成签到,获得积分10
11秒前
14秒前
wbs13521发布了新的文献求助10
21秒前
22秒前
小谷发布了新的文献求助10
29秒前
wbs13521完成签到,获得积分0
29秒前
38秒前
奈思完成签到 ,获得积分10
50秒前
量子星尘发布了新的文献求助10
1分钟前
优秀的dd完成签到 ,获得积分10
1分钟前
阁主完成签到,获得积分10
2分钟前
量子星尘发布了新的文献求助10
2分钟前
3分钟前
聪明的云完成签到 ,获得积分10
3分钟前
风中的飞机完成签到,获得积分20
3分钟前
3分钟前
如沐春风发布了新的文献求助10
3分钟前
量子星尘发布了新的文献求助10
3分钟前
爱吃大米饭完成签到 ,获得积分10
4分钟前
香蕉觅云应助如沐春风采纳,获得10
4分钟前
大模型应助风中的飞机采纳,获得10
4分钟前
4分钟前
4分钟前
君君完成签到 ,获得积分10
4分钟前
4分钟前
如沐春风发布了新的文献求助10
4分钟前
4分钟前
4分钟前
evlouu发布了新的文献求助10
4分钟前
4分钟前
4分钟前
思源应助科研通管家采纳,获得10
4分钟前
yx_cheng应助科研通管家采纳,获得10
4分钟前
李爱国应助风中的雅柏采纳,获得10
4分钟前
量子星尘发布了新的文献求助10
5分钟前
5分钟前
evlouu发布了新的文献求助10
5分钟前
5分钟前
5分钟前
5分钟前
高分求助中
【提示信息,请勿应助】关于scihub 10000
The Mother of All Tableaux: Order, Equivalence, and Geometry in the Large-scale Structure of Optimality Theory 3000
Social Research Methods (4th Edition) by Maggie Walter (2019) 2390
A new approach to the extrapolation of accelerated life test data 1000
北师大毕业论文 基于可调谐半导体激光吸收光谱技术泄漏气体检测系统的研究 390
Phylogenetic study of the order Polydesmida (Myriapoda: Diplopoda) 370
Robot-supported joining of reinforcement textiles with one-sided sewing heads 360
热门求助领域 (近24小时)
化学 材料科学 医学 生物 工程类 有机化学 生物化学 物理 内科学 纳米技术 计算机科学 化学工程 复合材料 遗传学 基因 物理化学 催化作用 冶金 细胞生物学 免疫学
热门帖子
关注 科研通微信公众号,转发送积分 4008199
求助须知:如何正确求助?哪些是违规求助? 3548001
关于积分的说明 11298620
捐赠科研通 3282865
什么是DOI,文献DOI怎么找? 1810238
邀请新用户注册赠送积分活动 885957
科研通“疑难数据库(出版商)”最低求助积分说明 811188