Scalability Challenges of an Industrial Implicit Finite Element Code
Scalability Challenges of an Industrial Implicit Finite Element Code
复制标题
工业隐式有限元代码的可扩展性挑战
DOI：
--
复制
发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Ting
中科院分区：
文献类型：
--
作者：
François;C. Ashcraft;J. Dawson;R. Grimes;Erman Guleryuz;S. Koric;R. Lucas;J. Ong;T. Simons;Ting
LS-DYNA是一个著名的多物理场程序，具有显式和隐式时间步进功能。隐式模拟严重依赖于稀疏矩阵计算，特别是直接求解器，并且众所周知，比显式模拟更难扩展。在本文中，我们研究了LS- DYNA的隐式结构模型的可扩展性挑战.特别是，我们专注于线性约束分析，稀疏矩阵重排，符号分解和数值分解。本研究选择的问题是对罗尔斯·罗伊斯公司建造的喷气发动机模型进行热机械模拟，该模型具有多达2亿个自由度或方程。该模型用于发动机性能分析和设计优化，特别是优化发动机压气机和涡轮机部分的叶尖间隙。我们目前的结果使用多达131,072个核心的蓝色沃茨克雷XE 6/XK 7超级计算机在NCSA和泰坦克雷XK 7超级计算机在OLCF。由于主要的重点是一般线性代数问题，这项工作是所有线性代数从业者的兴趣，而不仅仅是隐式有限元代码的开发人员。
LS-DYNA is a well-known multiphysics code with both explicit and implicit time stepping capabilities. Implicit simulations rely heavily on sparse matrix computations, in particular direct solvers, and are notoriously much harder to scale than explicit simulations. In this paper, we investigate the scalability challenges of the implicit structural mode of LS- DYNA. In particular, we focus on linear constraint analysis, sparse matrix reordering, symbolic factorization, and numerical factorization. Our problem of choice for this study is a thermomechanical simulation of jet engine models built by Rolls-Royce with up to 200 million degrees of freedom, or equations. The models are used for engine performance analysis and design optimization, in particular optimization of tip clearances in the compressor and turbine sections of the engine. We present results using as many as 131,072 cores on the Blue Waters Cray XE6/XK7 supercomputer at NCSA and the Titan Cray XK7 supercomputer at OLCF. Since the main focus is on general linear algebra problems, this work is of interest for all linear algebra practitioners, not only developers of implicit finite element codes.