最小二乘有限元法的湍流大涡模拟及其并行计算

项目名称： 最小二乘有限元法的湍流大涡模拟及其并行计算

项目编号： No.11302153

项目类型： 青年科学基金项目

立项/批准年度： 2014

项目学科： 数理科学和化学

项目作者： 李启良

作者单位： 同济大学

项目金额： 22万元

中文摘要： 最小二乘有限元法（Least-squares Finite Element Method,LSFEM）在流体计算中具有广阔的应用前景。与有限体积法相比，它具有收敛性好、通用性强，且易于获得高阶精度等优点。为此，本项目基于LSFEM的理论框架和大涡模拟方法，开发和完善LSFEM程序，实现利用LSFEM求解层流和湍流等各种流体计算问题。应用近年来新出现的GPU并行加速方法，实现单GPU平台下的LSFEM的大涡模拟计算，解决湍流计算中，自身计算量大所导致的计算时间长的问题。利用信息传输界面（Message Passing Interface, MPI）技术，开展多GPU平台之间的并行计算，使之能够快速、准确求解各类复杂的流体问题。为精确、高效预测工程中各类非定常流动和气动噪声问题提供新的方向。

中文关键词： 最小二乘有限元法；应力形式；大涡模拟；并行计算；

英文摘要： The Least-squares Finite Element Method (LSFEM) has a broad application prospect in fluid computation. Compared to the Finite Volume Method,it has been proved to be a good convergence,well universal and can easy to obtain high-order accuracy.Therefore,based on the theoretical frame of LSFEM and the method of Large Eddy Simulation (LES), programme of LSFEM is developed and improved to carry out all kinds of fluid problems which include laminar flow and turbulent flow. The Graphics Processing Unit (GPU) parallel method which has occurred for several years is applied to carry out the LES of turbulent flow using LSFEM on GPU so that the problem of long computational time generated by itself huge computational work in the turbulent simulation can be solved. Message Passing Interface (MPI) parallel techniques is applied and parallel calculation on different GPUs is done to solve all complex fluid problems quickly and accurately. A new direction is put forward to forcast the problems of unsteady flow and aerodynamic noise in the engineering application.

英文关键词： Least Squares Finite Element Method；Stress Formulation；Large Eddy Simulation；Parallel Computation；