XIONG Ying, GUAN Hui, WU Chui-jie. LES Discretization Methods for Unstructured Meshes Based on the Finite Volume Method[J]. Applied Mathematics and Mechanics, 2016, 37(11): 1129-1144. doi: 10.21656/1000-0887.370228
Citation: XIONG Ying, GUAN Hui, WU Chui-jie. LES Discretization Methods for Unstructured Meshes Based on the Finite Volume Method[J]. Applied Mathematics and Mechanics, 2016, 37(11): 1129-1144. doi: 10.21656/1000-0887.370228

LES Discretization Methods for Unstructured Meshes Based on the Finite Volume Method

doi: 10.21656/1000-0887.370228
Funds:  The National Natural Science Foundation of China(11572350);The National Basic Research Program of China (973 Program)(2014CB-744104)
  • Received Date: 2016-08-16
  • Rev Recd Date: 2016-09-15
  • Publish Date: 2016-11-15
  • The LES of unstructured meshes is an effective way to solve the high Reynolds number flow around complex geometries. Firstly, based on the finite volume method, the discretization methods for the convection term and the diffusion term were analyzed. For the convection term, the central difference scheme with a TVD limiter ensured 2nd-order accuracy and inhibited the nonphysical oscillations. Dissipation of the linear upwind scheme was large and can not guarantee boundedness. The central difference scheme caused a period of nonphysical oscillations. For the diffusion term, the method of over relaxation nonorthogonal correction reduced the discretization error caused by the nonorthogonal mesh. The correction coefficients were chosen according to the nonorthogonal degree of the mesh. Secondly, numerical simulation of unsteady flow around a sphere with high Reynolds number was conducted based on the improved delayed detached eddy simulation (IDDES) model and the tetrahedral mesh. The limited central difference scheme was used for the convection term, and the over relaxation correction was used for the diffusion term. The least squares method was used for the interpolation scheme. The 2nd-order backward difference scheme was used for the time term. The calculation results show that, the proposed discretization methods are stable and in good agreement with the experimental data.
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