Volume 34 Issue 02
Feb.  2008
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Yang Zhongzhou, Lee Chun-Hian. High resolution finite element procedure for compressible flows simulation[J]. Journal of Beijing University of Aeronautics and Astronautics, 2008, 34(02): 171-174. (in Chinese)
Citation: Yang Zhongzhou, Lee Chun-Hian. High resolution finite element procedure for compressible flows simulation[J]. Journal of Beijing University of Aeronautics and Astronautics, 2008, 34(02): 171-174. (in Chinese)

High resolution finite element procedure for compressible flows simulation

  • Received Date: 19 Mar 2007
  • Publish Date: 29 Feb 2008
  • Spatial discretization of N-S equations was first deduced based on the classical Galerkin method. Taking the above semi-discretized formulation as the basic scheme, a diffusion and an associated anti-diffusion terms were then added, keeping the scheme to possess a local extremum diminishing (LED) property. After taking the time discretization of the above derived semi-discretized scheme, the resulting system of sparse linear algebraic equations was solved by utilizing generalized minimal residual(GMRES). In order to validate the developed scheme with associated code, numerical computations for the shock tube problems, as well as supersonic flows over a cylinder and a double ellipsoid were performed, which revealed that the developed scheme did provide high resolution results.

     

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  • [1] Cockburn B,Shu C W. The local discontinuos Galerkin method for time-dependent convection-diffusion systems[J]. SIAM J. Numer,Anal, 1998, 35:2440-2463 [2] 吴望一,蔡庆东.非结构网格上新型的NND有限元格式[J].空气动力学学报, 1998, 16(1):1-13 Wu Wangyi,Cai Qingdong. A new NND finite element scheme on unstructed grid[J]. Acta Aerodynamica Sinica, 1998,16(1):1-13(in Chinese) [3] 金生. FAP——流动分析通用有限元程序[J]. 大连理工大学学报, 1997, 37(6):687-692 Jin Sheng. FAP a general purpose flow analysis program[J].Journal of Dalian University of Technology,1997,37(6):687-692(in Chinese) [4] Kuzmin D, Lohner R,Turek S. Flux-corrected transport: principles, algorithms, and applications[M]. Berlin: Springer, 2005: 207-250 [5] Kuzmin D,Turek S. High-resolution FEM-TVD schemes based on a fully multidimensional flux limiter[J]. J Comp Phys, 2004, 198: 131-158 [6] Jameson A.Positive schemes and shock modeling for compressible flows[J]. Int J Numer Meth Fluids, 1995,20:743-776 [7] Saad Y, Schultz M H. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems[J]. SIAM J. Sci Statist Comp 1986, 7: 856-869 [8] Chapman A, Saad Y, Wigto L. High order ILU preconditioners for CFD problems[J]. Int J Num Meth in Fluids, 2000, 33(6):767-788
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