Open Access
2010 Nonlinearized Fourier Approach, Gasdynamic Coherence, and Shock-Turbulence Interaction
Liviu F. Dinu , Marina I. Dinu
Commun. Math. Anal. 8(3): 66-91 (2010).
Abstract

The present paper considers, in a linearized context, the interaction between two gasdynamic objects: a turbulence model and, respectively, a planar shock discontinuity. The incident turbulence, regarded as a perturbation, is modelled by a nonstatistical/noncorrelative superposition of some finite (or point core) planar vortices. $\bullet$ The linearized (with shock) context assumes a minimal nonlinearity. It considers a linearized problem: a linear problem with a nonlinear subconscious (in the sense of P.D. Lax and A. Majda; see $\S$2). The resultant perturbation is regarded as a solution (``interaction solution") of such a linearized problem. $\bullet$ In presence of a nonlinear subconscious the interaction solution is essentially constructed as an admissible solution.

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Copyright © 2010 Mathematical Research Publishers
Liviu F. Dinu and Marina I. Dinu "Nonlinearized Fourier Approach, Gasdynamic Coherence, and Shock-Turbulence Interaction," Communications in Mathematical Analysis 8(3), 66-91, (2010). https://doi.org/
Published: 2010
Vol.8 • No. 3 • 2010
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