A mapped Chebyshev pseudospectral method is developed as an accurate and yet efficient approach to solve unsteady flows. Preserving the conservation laws, the method discretizes a spatial-derivative term implicitly, whereas a time-derivative term is treated explicitly using the mapped Chebyshev collocation operator. Because standard Chebyshev points make the corresponding spectral derivative matrix ill-conditioned due to uneven distribution of the Chebyshev points clustered heavily toward the ends of the interval, an inverse sine mapping function is applied to the Chebyshev collocation operator so that the point distribution becomes more uniform in a time domain and mitigates numerical instabilities correspondingly. Computations of unsteady flows, including the one-dimensional Burgers' equation and two-dimensional airfoil flows under oscillation and plunging motions, are carried out. Numerical results of the present study are compared with those of the conventional time-marching solution method and the harmonic balance method for each application and demonstrate high accuracy at much reduced computational cost. The method shows great potential to solve general unsteady flows involving both periodic and nonperiodic motions. Presented as Paper 2015-2755 at the 22nd AIAA Computational Fluid Dynamics Conference, Dallas, TX, 22-26 June 2015


    Access

    Access via TIB

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Mapped Chebyshev Pseudospectral Method for Unsteady Flow Analysis



    Published in:

    AIAA journal ; 53 , 12


    Publication date :

    2015




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English



    Classification :

    BKL:    50.93 / 55.50 Luftfahrzeugtechnik / 50.93 Weltraumforschung / 55.60 Raumfahrttechnik / 55.50 / 55.60
    Local classification TIB:    770/7040



    Mapped Chebyshev Pseudospectral Method for Unsteady Flow Analysis

    Im, Dong Kyun / Choi, Seongim / McClure, James E. et al. | AIAA | 2015


    A Mapped Chebyshev Pseudospectral Method for Unsteady Flow Analysis

    Im, Dongkyun / Choi, Seongim / McClure, James E. et al. | AIAA | 2015


    A Mapped Chebyshev Pseudospectral Method for Unsteady Flow Analysis (AIAA 2015-2755)

    Im, Dongkyun / Choi, Seongim / McClure, James E. et al. | British Library Conference Proceedings | 2015


    Prediction of Dynamic Stability using Mapped Chebyshev Pseudospectral Method

    Choi, Jae-Young / Choi, Seongim / Park, Jangho et al. | AIAA | 2016


    Prediction of Dynamic Stability Using Mapped Chebyshev Pseudospectral Method

    Jae-Young Choi / Dong Kyun Im / Jangho Park et al. | DOAJ | 2018

    Free access