Volume 39 Issue 4
Apr.  2013
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Cui Jian, Fang Jian, Yuan Jingzhou, et al. Assessment of monotonicity-preserving scheme for large-scale simulation of turbulence[J]. Journal of Beijing University of Aeronautics and Astronautics, 2013, 39(4): 488-493. (in Chinese)
Citation: Cui Jian, Fang Jian, Yuan Jingzhou, et al. Assessment of monotonicity-preserving scheme for large-scale simulation of turbulence[J]. Journal of Beijing University of Aeronautics and Astronautics, 2013, 39(4): 488-493. (in Chinese)

Assessment of monotonicity-preserving scheme for large-scale simulation of turbulence

  • Received Date: 12 Oct 2011
  • Publish Date: 30 Apr 2013
  • The high-order shock-capturing schemes were assessed by comparing the Monotonicity-Preserving scheme proposed by Suresh and Huynh (1997) with the weighted essentially non-oscillatory schemes(WENO). Great emphasis was imposed on the analysis of the performances of Monotonicity-Preserving scheme for turbulence simulation. The assessment indicates the Monotonicity-Preserving functions much better than the original weighted essentially non-oscillatory scheme, even close to the improved weighted essentially non-oscillatory scheme. In accordance with the analysis, all the assessed shock-capturing schemes can hardly emulate the high-order central scheme in simulating isotropic turbulence, which is attributed to the linear as well as nonlinear dissipation of the shock-capturing schemes. Therefore, both the linear and nonlinear dissipation should be reduced in order to improve the high-order shock-capturing schemes in preserving turbulence energy and capturing small-scale turbulence structures.

     

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  • [1]
    Lele S K.Compact finite difference schemes with spectral-like resolution[J].Journal of Computational Physics,1992,103:16-43
    [2]
    Roe P L.Approximate Riemann solvers,parameter vectors and difference schemes[J].Journal of Computational Physics,1981,43:357-372
    [3]
    Liou M S,Stenffen C J.A new flux splitting scheme[J].Journal of Computational Physics,1993,107:23-29
    [4]
    Shu C W,Osher S.Efficient implementation of essentially non-oscillatory shock-capturing schemes[J].Journal of Computational Physics,1988,77:439-471
    [5]
    Jiang G S,Shu C W.Efficient implementation of weighted ENO schemes[J].Journal of Computational Physics,1996,126:202-228
    [6]
    Garnier E,Mossi M,Sagaut P,et al.On the use of shock-capturing schemes for large-eddy simulation[J].Journal of Computational Physics,1999,153:273-311
    [7]
    Johnsen E,Larsson J,Bhagatwala A V,et al.Assessment of high-resolution methods for numerical simulations of compressible turbulence with shock waves[J].Journal of Computational Physics,2010,229:1213-1237
    [8]
    Martin M P,Taylor E M,Wu M,et al.A bandwidth-optimized WENO scheme for the effective direct numerical simulation of compressible turbulence[J].Journal of Computational Physics,2006,220:270-289
    [9]
    Borges R,Carmona M,Costa B,et al.An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws[J].Journal of Computational Physics,2008,227:3191-3211
    [10]
    Shen Y,Zha G C.Improvement of weighted essentially non-oscillatory schemes near discontinuities .AIAA-2009-3655,2009
    [11]
    Taylor E M,Wu M,Martin M P.Optimization of nonlinear error for weighted essentially non-oscillatory methods in direct numerical simulations of compressible turbulence[J].Journal of Computational Physics,2007,223:384-397
    [12]
    Grube N E,Taylor E M,Martin M P.Direct numerical simulation of shock-wave/isotropic turbulence interaction .AIAA-2009-4165,2009
    [13]
    Priebe S,Wu M,Martin M P.Direct numerical simulation of a reflected-shock-wave/turbulent-boundary-layer interaction[J].AIAA Journal,2009,47(5):1173-1185
    [14]
    Wu M,Martin M P.Direct numerical simulation of supersonic turbulent boundary layer over a compression ramp[J].AIAA Journal,2007,45(4):879-889
    [15]
    Suresh A,Huynh H T.Accurate monotonicity-preserving schemes with Runge-Kutta time stepping[J].Journal of Computational Physics,1997,136:83-99
    [16]
    Li Z,Jaberi F A.A high-order finite difference method for numerical simulations of supersonic turbulent flows[J].International Journal for Numerical Methods in Fluids,2012,68(6):740-766
    [17]
    Jammalamadaka A,Li Z,Jaberi F A.Large-eddy simulation of turbulent boundary layer interaction with an oblique shock wave .AIAA-2010-110,2010
    [18]
    Steger J L,Warming R.Flux vector splitting of the inviscid gas dynamic euqaions with application to finite difference methods[J].Journal of Computational Physics,1981,40:263-293
    [19]
    Gottlied S,Shu C W.Total variation diminishing Runge-Kutta schemes[J].Mathematics of Computation,1998,67(21):73-85
    [20]
    Shen Y,Zha G C,Wang B.Improvement of stability and accuracy for weighted essentially nonoscillatory scheme[J].AIAA Journal,2009,47(2):331-344
    [21]
    Rogallo R S.Numerical experiments in homogeneous turbulence .NSA Technical Memorandum 81315,1981
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