航空学报 > 2003, Vol. 24 Issue (5): 385-390

三维非结构混合网格生成与N-S方程求解

王刚, 叶正寅   

  1. 西北工业大学飞机系 陕西西安 710072
  • 收稿日期:2003-06-03 修回日期:2003-07-14 出版日期:2003-10-25 发布日期:2003-10-25

Generation of Three Dimensional Mixed and Unstructured Grids and its Application in Solving Navier-Stokes Equations

WANG Gang, YE Zheng-yin   

  1. Department of Aircraft Engineering; Northwestern Polytechnical University; Xi'an 710072; China
  • Received:2003-06-03 Revised:2003-07-14 Online:2003-10-25 Published:2003-10-25

摘要: 提出了一套较为通用的, 完全自动化的非结构混合网格生成方法, 在物面粘性作用区, 运用一种改进的推进层方法生成三棱柱形和金字塔形网格; 在其他流动区域采用阵面推进方法生成四面体网格。采用一种改进精度的格心有限体积法和Spalart-Allmaras 一方程湍流模型对三维N-S 方程进行了求解, 并以M6 机翼、DLR-F4 翼身组合体和某运输机外形的粘性流场作为数值算例, 验证了上述网格生成和流场求解方法的正确性和实用性。

关键词: 混合网格, 有限体积法, NS方程, 非结构网格

Abstract: A method for generating t here-dimensional mix ed-element-t ype unstructured gr ids and its applicat ion insimulating v iscous flow by solv ing the Nav ier-Sto kes equations are presented. Pir zadeh s advancing-layer method ismodified to generate hig h-quality mix ed prismatic/ pyramid/ tetrahedral-element-type unstructur ed gr ids in boundary-lay er reg ion, and the tr aditional advancing-front method is used to construct isotropic tetrahedral grids in ther esidual flow region. Based on the Spalart-Allmaras one equat ion turbulence model, three-dimensional Navier-Stokesequat ions are solv ed by using a cell-centered finite-volume method. Viscous flow problems around the ONERA M6w ing, DLR-F4 w ing-body config uration and a transport configuration ar e simulated to verify the correctness andpract icability of the methods.

Key words: mixed element, finite-volume method, Navier-Stokes equations, unstructured meshes

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