Fictitious boundary and moving mesh methods for the numerical simulation of rigid particulate flows
Fictitious boundary and moving mesh methods for the numerical simulation of rigid particulate flows
复制标题
刚性颗粒流数值模拟的虚拟边界和移动网格方法
DOI：
10.1016/j.jcp.2006.06.002
复制
发表时间：
2007-03
影响因子：
4.1
通讯作者：
Wan, Decheng
中科院分区：
文献类型：
--
作者：
Turek, Stefan;Wan, Decheng
本文采用一种新的移动网格方法结合多重网格虚拟边界法（FBM）对颗粒流进行了数值模拟。Turek，D.C. Wan，L.S. Rivkind，Dirichlet边界条件隐式处理的虚拟边界法及其在不可压缩流模拟中的应用。科学计算中的挑战，计算科学与工程讲义，第35卷，施普林格，柏林，2003年，页。37-68; D.C. Wan，S. Turek，L.S. Rivkind，一种有效的多重网格有限元解技术不可压缩流与移动刚体。数值数学与高等应用，ENUMATH 2003，Springer，柏林，2004，pp. 844-853; D.C. Wan，S.张文，颗粒流场的数值模拟，清华大学学报，2001。方法流体51（2006）531-566]。使用这种方法，网格通过（线性）偏微分方程动态重新定位，以捕获具有相对较少数量的网格点的移动粒子的表面。完整的系统是通过求解网格运动和流动问题的偏微分方程交替通过算子分裂的方法来实现的。流场计算采用特殊的ALE公式和多重网格有限元求解器，固体颗粒在每一时间步长内通过移动网格法自适应调整的计算网格自由移动。一个重要的方面是，未变形的初始网格的数据结构，在许多情况下，张量积网格或由许多张量积网格组成的半结构化网格，被保留，而只有网格点之间的间距在每个时间步长中进行调整，以便可以利用结构化网格的高效率。数值结果表明，该方法可以准确有效地处理流体与颗粒之间的相互作用。它也表明，所提出的方法显着提高了以前的多重网格FBM模拟颗粒流与许多移动刚性粒子的精度。
In this paper, we investigate the numerical simulation of particulate flows using a new moving mesh method combined with the multigrid fictitious boundary method (FBM) [S. Turek, D.C. Wan, L.S. Rivkind, The fictitious boundary method for the implicit treatment of Dirichlet boundary conditions with applications to incompressible flow simulations. Challenges in Scientific Computing, Lecture Notes in Computational Science and Engineering, vol. 35, Springer, Berlin, 2003, pp. 37–68; D.C. Wan, S. Turek, L.S. Rivkind, An efficient multigrid FEM solution technique for incompressible flow with moving rigid bodies. Numerical Mathematics and Advanced Applications, ENUMATH 2003, Springer, Berlin, 2004, pp. 844–853; D.C. Wan, S. Turek, Direct numerical simulation of particulate flow via multigrid FEM techniques and the fictitious boundary method, Int. J. Numer. Method Fluids 51 (2006) 531–566]. With this approach, the mesh is dynamically relocated through a (linear) partial differential equation to capture the surface of the moving particles with a relatively small number of grid points. The complete system is realized by solving the mesh movement and the partial differential equations of the flow problem alternately via an operator-splitting approach. The flow is computed by a special ALE formulation with a multigrid finite element solver, and the solid particles are allowed to move freely through the computational mesh which is adaptively aligned by the moving mesh method in every time step. One important aspect is that the data structure of the undeformed initial mesh, in many cases a tensor-product mesh or a semi-structured grid consisting of many tensor-product meshes, is preserved, while only the spacing between the grid points is adapted in each time step so that the high efficiency of structured meshes can be exploited. Numerical results demonstrate that the interaction between the fluid and the particles can be accurately and efficiently handled by the presented method. It is also shown that the presented method significantly improves the accuracy of the previous multigrid FBM to simulate particulate flows with many moving rigid particles.
登录
查看更多内容
影响因子：
--
作者：
Matthias Grajewski;M. Köster;S. Kilian;S. Turek
通讯作者：
Matthias Grajewski;M. Köster;S. Kilian;S. Turek
影响因子：
1.8
作者：
D. Wan;S. Turek
通讯作者：
D. Wan;S. Turek
影响因子：
2.5
作者：
E. Hirschel
通讯作者：
E. Hirschel
影响因子：
3.7
作者：
A. Fortes;D. Joseph;T. Lundgren
通讯作者：
A. Fortes;D. Joseph;T. Lundgren
DOI：
10.1002/(sici)1098-2426(199607)12:4
发表时间：
1996-07
影响因子：
3.9
作者：
P. Bochev;G. Liao;G. D. L. Pena
通讯作者：
P. Bochev;G. Liao;G. D. L. Pena