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Volume 38 Issue 6
Jun.  2012
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Journal of Beijing University of Aeronautics and Astronautics  > 2012  >  38(6): 766-771.
Du Pengcheng, Ning Fangfei. Application of harmonic balance method in simulations of low speed unsteady flows[J]. Journal of Beijing University of Aeronautics and Astronautics, 2012, 38(6): 766-771. (in Chinese)
Citation: Du Pengcheng, Ning Fangfei. Application of harmonic balance method in simulations of low speed unsteady flows[J]. Journal of Beijing University of Aeronautics and Astronautics, 2012, 38(6): 766-771. (in Chinese)
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Application of harmonic balance method in simulations of low speed unsteady flows

  • School of Jet Propulsion, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

  • Received Date: 16 Mar 2011
  • Publish Date: 30 Jun 2012
    Abstract
  • The harmonic balance method is an effective computational method in simulating time periodic unsteady flows. When using the harmonic balance method based on compressible flow equations to solve low Mach number flows, both the accuracy and convergence of the solution would be deteriorated due to the large dissipation of the convective scheme which is specially designed for compressible flows. To solve this problem, the low speed preconditioning was adopted; therefore, the harmonic balance method based on compressible flow equations could be used to compute low speed periodic unsteady flow directly. Both the time marching calculation and the harmonic balance calculation were performed in simulating the incompressible lid-driven flow and the low Reynolds number vortex shedding cylinder flow. The results show the capability of using the preconditioned harmonic balance equation in simulating low speed periodic unsteady flows, and the unsteady flowfield could be well reconstructed by using only a few harmonics retained in the harmonic balance method.

     

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    • References(13)
  • [1]
    He L.Fourier methods for turbomachinery applications[J].Progress in Aerospace Science,2010,46(8):329-341
    [2]
    Hall K C,Thomas J P,Clark W S.Computation of unsteady nonlinear flows in cascades using a harmonic balance technique[J].AIAA Journal,2002,40(5):879-886
    [3]
    Lucia D J,Beran P S,Silva W A.Reduced-order modeling:new approaches for computational physics[J].Progress in Aerospace Sciences,2004,40(1-2):51-117
    [4]
    Turkel E.Preconditioning techniques in computational fluid dynamics[J].Annual Review of Fluid Mechanics,1999,31:385-416
    [5]
    Briley W R,Taylor L K,Whitfield D L.High-resolution viscous flow simulations at arbitrary Mach number[J].Journal of Computational Physics,2003,184:79-105
    [6]
    Sicot F,Puigt G,Montagnac M.Block-Jacobi implicit algorithms for the time spectral method[J].AIAA Journal,2008,46(12):3080-3089
    [7]
    Edwards J R.Towards unified CFD simulations of real fluid flows.AIAA-2001-2524,2001
    [8]
    曹宁,吴颂平.低速流预处理Roe格式中的数值粘性[J].北京航空航天大学学报,2010,36(8):904-908 Cao Ning,Wu Songping.Numerical dissipation of Roe-s scheme with preconditioning for low-speed flows[J].Journal of Beijing University of Aeronautics and Astronautics,2010,36(8):904-908(in Chinese)
    [9]
    Ghia U,Ghia K N,Shin C T.High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method[J].Journal of Computational Physics,1982,48:387-411
    [10]
    Dyke Van,Milton D.An album of fluid motion[M].Stanford,CA:Parabolic Press,1982
    [11]
    Chin Hoe Tai,Zhao Yong.Parallel unsteady incompressible viscous flow computations using an unstructured multigrid method[J].Journal of Computational Physics,2003,192:277-311
    [12]
    Rosenfeld M,Kwak D,Vinokur M.A solution method for the unsteady and incompressible Navier-Stokes equations in generalized coordinate systems.AIAA-88-0718,1988
    [13]
    McMullen M,Jameson A,Alonso J J.Application of an on-linear frequency domain solver to the Euler and Navier Stokes equations.AIAA 2002-0120,2002
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