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三维非结构聚合多重网格法数值模拟研究 被引量:4

NUMERICAL SIMULATION OF FLOWFIELDS WITH THREE-DIMENSIONAL UNSTRUCTURED AGGLOMERATION MULTIGRID ALGORITHM
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摘要 在三维非结构网格上应用聚合式多重网格技术来加速Euler方程的收敛过程.自行设计了一种高效率的网格聚合方法.采用四重三维非结构网格,在每一层网格上采用有限体积法进行计算.通过对M6翼型的数值求解验证了多重网格加速收敛的高效性. An agglomeration multigrid algorithm has been developed to accelerate the convergence of the Euler equations to a steady state on three-dimensional unstructured meshes. In the present work, an efficient method has been designed to agglomerate three-dimensional unstructured meshes, by which we can generate coarse meshes good of quality. The finite volume method is adopted on each layer. The high efficiency of this multigrid algorithm has been verified by simulating flows around M6 airfoil.
出处 《力学学报》 EI CSCD 北大核心 2003年第3期337-340,共4页 Chinese Journal of Theoretical and Applied Mechanics
基金 国家自然科学基金资助项目(19982009)
关键词 三维非结构聚合多重网格法 数值模拟 流体力学 加速收敛 有限体积法 three-dimensional unstructured mesh, agglomeration of meshes, multigrid, finite volume
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参考文献4

  • 1Mavriplis DJ. Multigrid techniques for unstructured meshes. NASA Contractor Report 195070. ICASE Report No.95-27.
  • 2Mavriplis DJ. Multigrid solution of the two-dimensional Euler equations on unstructured triangular meshes. AIAA Journal, 1988.
  • 3Stolcis L, Johnston LJ. Solution of the Euler equations on unstructured grids for two-dimensional compressible flow Aeronautial Journal, June/July 1990.
  • 4Jameson A, Scgmidt W, Turkel E. Numerical solutions of the Euler equations by finite volume methods using RungeKutta time-stepping schemes. AIAA Paper 81-1259, June 1981.

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