Abstract

Nonlinear resonant oscillations of gas in a closed tube are studied numerically, where the nonlinear effect causes the shock formation. The numerical method is based on a high-resolution finite-difference TVD scheme, which is capable of resolving discontinuous front of shock waves. Propagation of shock waves and evolution of acoustic streaming in the tube are examined. It is shown that, in the case that the shock is moderately strong, streaming develops into a turbulent motion through a kind of bifurcation.

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