Kolmogorov‐like spectra in decaying three‐dimensional supersonic flows

作者: D. H. Porter , A. Pouquet , P. R. Woodward

DOI: 10.1063/1.868217

关键词: Vortex tubeComputer simulationMechanicsSupersonic speedFluid dynamicsSolenoidal vector fieldShock waveTurbulenceVector fieldPhysics

摘要: A numerical simulation of decaying supersonic turbulence using the piecewise parabolic method (PPM) algorithm on a computational mesh 5123 zones indicates that, once solenoidal part velocity field, representing vortical motions, is fully developed and has reached self‐similar regime, spectrum compatible with that predicted by classical theory Kolmogorov develops. It followed domain shallower spectrum. convergence study presented to support these assertions. The formation, structure, evolution slip surfaces vortex tubes are in terms perspective volume renderings fields physical space.

参考文章(19)
J.R. Buchler, S.T. Gottesman, Nonlinear astrophysical fluid dynamics Annals of the New York Academy of Sciences. ,vol. 617, ,(1990)
J. R. Herring, D. Schertzer, M. Lesieur, G. R. Newman, J. P. Chollet, M. Larcheveque, A comparative assessment of spectral closures as applied to passive scalar diffusion Journal of Fluid Mechanics. ,vol. 124, pp. 411- 437 ,(1982) , 10.1017/S0022112082002560
D. H. Porter, A. Pouquet, P. R. Woodward, Three-dimensional supersonic homogeneous turbulence: A numerical study Physical Review Letters. ,vol. 68, pp. 3156- 3159 ,(1992) , 10.1103/PHYSREVLETT.68.3156
Paul Woodward, Phillip Colella, The numerical simulation of two-dimensional fluid flow with strong shocks Journal of Computational Physics. ,vol. 54, pp. 115- 173 ,(1984) , 10.1016/0021-9991(84)90142-6
D. H. Porter, A. Pouquet, P. R. Woodward, A numerical study of supersonic turbulence Theoretical and Computational Fluid Dynamics. ,vol. 4, pp. 13- 49 ,(1992) , 10.1007/BF00417962
P.R. Woodward, Interactive scientific visualization of fluid flow IEEE Computer. ,vol. 26, pp. 13- 25 ,(1993) , 10.1109/2.237446
T. Passot, A. Pouquet, Numerical simulation of compressible homogeneous flows in the turbulent regime Journal of Fluid Mechanics. ,vol. 181, pp. 441- 466 ,(1987) , 10.1017/S0022112087002167
Computing Methods in Applied Sciences and Engineering, 1977, II Mathematics of Computation. ,vol. 41, pp. 384- ,(1974) , 10.1007/3-540-06769-8
D. I. Pullin, P. G. Saffman, On the Lundgren–Townsend model of turbulent fine scales Physics of Fluids. ,vol. 5, pp. 126- 145 ,(1993) , 10.1063/1.858798