High-Order Hybrid Fourier Continuation-WENO Scheme for 3D Compressible Navier-Stokes Equations

摘要

This paper presents a parallel multi-domain high-order hybrid scheme, FC-WENO, arising from the conjugation of Fourier-continuation (FC) method and weighted essentially non-oscillatory scheme (WENO) for three-dimensional unsteady compressible Navier-Stokes equations. The hybrid FC-WENO scheme with almost dispersion-less and dissipation-less resolutions (away from the shock waves) outperforms alternatives based on pure WENO scheme and central difference/WENO (CD-WENO) hybrid combination. The efficacy of FC-WENO scheme is demonstrated through computations of broadband motion of highspeed isotropic turbulence with eddy shocklets, whereby on the identical grid and with comparable CPU times, the FC-WENO results in more accurate average turbulence measures as compared to those of pure WENO and CD-WENO schemes.