并行自适应有限元软件平台PHG及其应用

The toolbox PHG and its applications

PHG(parallel hierarchical grid)是一个由中国科学院"科学与工程计算国家重点实验室"研制的开源并行自适应有限元程序开发平台.与国际上其他同类型软件相比,其主要特征有:(1)提供基于最新顶点单元二分的非结构协调四面体网格并行局部加密;(2)支持h-p自适应有限元计算;(3)支持大规模并行和动态负载平衡;(4)提供大型稀疏线性方程组直接求解和灵活的预处理迭代求解.本文介绍PHG平台的主要模块和核心算法,以及基于PHG平台开发的一些并行有限元应用程序,它们包括:大型变压器铁损模拟、离子通道中的离子输运过程模拟、集成电路互连线寄生参数提取、冰盖模拟、弹性波PML方程谱元计算等.

PHG （parallel hierarchical grid） is an open source toolbox, developed by the State Key Laboratoryof Scientific and Engineering Computing at the Chinese Academy of Sciences, for writing parallel adaptive finite element programs. Among the many adaptive finite element toolboxes and software packages, PHG is characterized by the following features： 1） The ability to provide the most recent vertex bisection-based parallel local mesh refinement of unstructured conforming tetrahedral meshes. 2） It supports h-p adaptive finite element computations. 3） It incorporates massively parallel with transparent dynamical load balancing. 4） It provides flexible preconditioning and solutions of large sparse linear systems of equations. In this paper, the main modules and some core algorithms of PHG are described, and some parallel applications based on PHG, including the computation of iron-loss for large power transformers, simulation of ionic transport in ion channels, parasitic extraction of interconnects in integrated circuits, ice sheet simulation, and spectral element simulation of elastic waves with PML, are introduced.