非结构网格上双曲守恒律的并行算法研究

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。
Abstract: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.