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Parallel adaptive solution of the Stokes and Oseen problems on unstructured 3D meshes

机译：非结构化3D网格上的斯托克斯和OSEEN问题的并行自适应解决方案

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摘要

A new method of a parallel adaptive solution of the Stokes and Oseen problems is proposed. It constists of a parallel adaptive mesh generator and a parallel iterative solver with block-diagonal preconditioners. The preconditioners for the three velocity blocks are based on a domain decomposition method with a black box subdomain solver and a smoother in a space of aggregated vectors. The fourth block is a preconditioner for the pressure Schur complement. Efficiency of the method is demonstrated with numerical experiments.

机译：提出了一种新的斯托克斯和OSEEN问题的平行自适应解决方案的新方法。它构成并联自适应网格发生器和具有块对角线前提者的并联迭代求解器。三个速度块的预处理器基于具有黑匣子子域求解器的域分解方法，并在聚合向量的空间中更平滑。第四个块是压力SCHUR补充的预处理器。用数值实验证明了该方法的效率。

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《Parallel CDF Conference》|2004年||共9页
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K.Lipnikov; Yu.Vassilevski; Institute for Mathematical Modelling of Russian Academy of Sciences;
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中图分类流体力学;
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1. A finite volume method to solve the 3D Navier-Stokes equations on unstructured collocated meshes [J] . Sebastien Perron, Svlvain Boivin, Jean-Marc Herard Computers & Fluids . 2004,第10期

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2. A 3D AGGLOMERATION MULTIGRID SOLVER FOR THE REYNOLDS-AVERAGED NAVIER-STOKES EQUATIONS ON UNSTRUCTURED MESHES [J] . D. J. Mavriplis, V. Venkatakrishnan International Journal for Numerical Methods in Fluids . 1996,第6期

机译：非结构化网格上雷诺平均Navier-Stokes方程的3D聚合多重网格求解器
3. Multigrid upwind Euler/Navier-Stokes computation on adaptive unstructured meshes [J] . Y. Zheng, L. He The Aeronautical Journal . 2001,第1046期

机译：自适应非结构网格上的多重网格迎风Euler / Navier-Stokes计算
4. Parallel adaptive solution of the Stokes and Oseen problems on unstructured 3D meshes [C] . K.Lipnikov, Yu.Vassilevski, Institute for Mathematical Modelling of Russian Academy of Sciences Parallel CDF Conference . 2004

机译：非结构化3D网格上的斯托克斯和OSEEN问题的并行自适应解决方案
5. A massively parallel solution of the three-dimensional Navier-Stokes equations on unstructured adaptive grids. [D] . Weinberg, Zvi. 1994

机译：非结构化自适应网格上三维Navier-Stokes方程的大规模并行解。
6. A parallel solution to finding nodal neighbors in generic meshes [O] . Pian Qi, Gang Mei, Nengxiong Xu, 2020

机译：在通用网格中查找节点邻居的并行解决方案
7. A Parallel Compressible 3D Navier-Stokes Solver Using Unstructured Meshes [O] . Mark Loriot, Loula Fezoui 1993

机译：一种使用非结构化网格的并行可压缩三维Navier-stokes求解器

Parallel adaptive solution of the Stokes and Oseen problems on unstructured 3D meshes

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