Multigrid fictitious boundary method for incompressible viscous flows around moving airfoils

In this paper, an efficient multigrid fictitious boundary method (MFBM) coupled with the FEM solver package FEATFLOW was used for the detailed simulation of incompressible viscous flows around one or more moving NACA0012 airfoils. The calculations were carried on a fixed multigrid finite element mesh on which fluid equations were satisfied everywhere, and the airfoils were allowed to move freely through the mesh. The MFBM was employed to treat interactions between the fluid and the airfoils. The motion of the airfoils was modeled by Newton-Euler equations. Numerical results of experiments verify that this method provides an efficient way to simulate incompressible viscous flows around moving airfoils.     

一种新的代数多重网格法及其在CFD中的应用

提出了一种面向对象的代数多重网格(algebraic multi-grid,AMG)算法,以每一层网格作为研究单元.网格粗化过程中,形成各单元,同时记录其前后单元,形成双向链表.粗化过程采用Ruge和Stnben算法,光滑算子用Gauss-Seidel迭代.由于AMG算法与网格信息无关,可以作为"即插即用"型的线性方程组求解器.对CFD计算过程耗时最多的压力修正方程作了研究,分别对二维后台阶流动模型在不同网格划分情况进行了计算,代数多重网格方法与单重网格的不完全分解共轭梯度法对比发现,前者具有明显的优势.随着网格数目增加,优势表现更为明显.最后与AMG1r5相比,开发的程序内存占用较少,最高只有AMG1r5的36%.     

一类虚拟国界预条件多重网络并行算法

对网格方程组作多重网格区域分裂并行计算,以消去法为预条件,讨论了Gauss消去法的迭代性质,指出该迭代法有效改善通常迭代在子域信息传递过程中的障碍性问题,提高多重网格区域分裂并行计算效率。     

A water-fat separation imaging method for the brain on low field magnetic resonance imaging

Water-fat separation is a particularly important problem for magnetic resonance imaging. Although many methods have been proposed, the reliability is still challenging. In this work, we have presented a method based on the combination of the branch-cut method and multigrid algorithm to get a more robust performance of water-fat separation. First, the branch-cut method is applied to identify residues, which violates the requirement that the interacting phase gradient around a closed path be zero. Residues and branches are marked to be zeros and filled to the weighting factor array. Then, the unwrapped phase array can be given by the multigrid algorithm. Finally, the Dixon method for water-fat separation is applied to the unwrapped phase array. Experiments for brain scanning on the 0.3T low field MRI system demonstrate the successful application of the proposed method.