Two-dimensional acoustic turbulence

Two-dimensional turbulence of the waves with linear dispersion law is analyzed numerically at small Mach numbers and large Reynolds numbers, It is shown that the energy-flux relation is close to E proportional to p(2/3) as for a one-dimensional system. The analysis of the wave distribution in k space shows that the anisotropic large-scale pumping produces turbulence as a set of narrow jets that do not smear as the cascade proceeds towards high wave numbers. The energy spectrum along the direction of a jet is close to E(k(parallel to))proportional to k(parallel to)(-2) due to shock waves, while the spectrum per unit interval of wave numbers is E(k)proportional to P(2/3)k(-1) contrary to all previous predictions. Probability density functions of the velocity and velocity differences are found and compared with recent theoretical predictions.