Abstract
The interaction of vorticity and shock waves in decaying compressible turbulence is investigated by direct numerical simulation of the Navier-Stokes equation using a spectral method with 643 collocation points. The Taylor microscale Reynolds number decreases from 36 to 17 and the rms Mach number from 0.8 to 0.4 during the decay. It is observed that vorticity is created inside curved shocks through baroclinic interaction and intensified by the compression of fluid elements. Vortex stretching is, on the other hand, dominant outside shocks and is responsible for enhancing the strength of vorticity. A dipole of vorticity is typically created at the vertex of curved shocks, the structure of which is explained in terms of jump relations of velocity derivatives across a curved shock.
Similar content being viewed by others
References
Anderson, J. D., Jr. (1982).Modern Compressible Flow with Historical Perspective, McGraw-Hill, New York.
Kida, S., and Orszag, S. A. (1990a). Energetics of forced compressible turbulence (in preparation).
Kida, S., and Orszag, S. A. (1990b). Numerical simulation of decaying compressible turbulence (in preparation).
Landau, L. D., and Lifshitz, E. M. (1959).Fluid Mechanics, Pergamon, New York.
Passot, T., and Pouquet, A. (1987). Numerical simulation of compressible homogeneous flows in the turbulent regime,J. Fluid Mech. 181, 441–66.
Picone, J. M., and Boris, J. P. (1988). Vorticity generation by shock propagation through bubbles in a gas,J. Fluid Mech. 189, 23–51.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kida, S., Orszag, S.A. Enstrophy budget in decaying compressible turbulence. J Sci Comput 5, 1–34 (1990). https://doi.org/10.1007/BF01063424
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01063424