期刊导航

论文摘要

非结构网格上双曲守恒律的并行算法研究

Parallel Algorithm for Conversation Laws with Unstructured Grids

作者:马欣荣(西安电子科技大学 数学与统计学院;咸阳师范学院 数学与信息科学学院);刘三阳(西安电子科技大学 数学与统计学院)

Author:Ma Xinrong(School of Mathematics and Statistics,Xidian Univ.;Dept. of Mathematics,Xianyang Normal Univ.);Liu Sanyang(School of Mathematics and Statistics,Xidian Univ.)

收稿日期:2014-07-07          年卷(期)页码:2015,47(2):123-128

期刊名称:工程科学与技术

Journal Name:Advanced Engineering Sciences

关键字:并行算法;非结构网格;Euler方程;加速比;并行效率

Key words:parallel algorithm;unstructured grids;Euler equations;Speed-up;parallel efficiency

基金项目:国家自然科学基金面上项目资助(61373174);国家自然科学基金青年科学基金资助项目(61401383)

中文摘要

针对Euler方程的求解问题,在分布式存储环境下,提出一种适合于非结构网格上的并行算法。采用区域分解算法,适当处理网格,使每台处理器保持负载平衡。采用GMRES隐式时间离散格式、当地时间步长等加速收敛方法,通过对绕NACA0012翼型、ONERA M6机翼以及DLR-F6翼身组合体无黏流动数值模拟,验证了该方法具有较高的加速比和并行效率,适合在MIMD模式下进行大粒度科学计算。

英文摘要

Efficient parallel algorithm on distributed-memory multi-computers was presented for solving Euler equations on unstructured grids.Domain decomposition method was employed to handle meshes properly and make each processor maintain load balancing.The GMRES implicit scheme and local time stepping techniques were used to accelerate the convergence of the solution of unsteady Euler equations to steady state.Numerical experiment performed for inviscid transonic flows around NACA0012 airfoil,ONERA M6 wing and DLR-F6 geometry(wing-body-pylon-nacelle) indicated that the proposed parallel algorithm have the advantages of high acceleration and efficiency,which is suitable for large-grained science computing on MIMD model.

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