MODELING OF ATMOSPHERIC CONDITION INFLUENCE ON SONIC BOOM

摘要

The state of the art in research of atmosphericrnconditions influence on sonic boom isrndiscussed. The influence of atmosphericrnturbulence on the characteristic ray trajectoriesrnand amplitude of propagating plane shock wavernis investigated with the simplified modelrnapproach. Isotropic character of atmospherernturbulence is assumed. It is also supposed thatrnthe atmospheric turbulence is "frozen", i.e. therntime of acoustic wave passing through thernturbulent media is considerably less, than therntime of evolution of atmospheric turbulencernstructures. The turbulence field is simulated asrna series of independent realizations of randomrnscalar and vector fields that are not related onernwith the other. Propagation of the sonic boomrnwave is described on the base of classical Hayesrn- Zhilin theory equations. The using of Hopf'srntransformation allows proving the uniquernexistence of their solution. It is shown thatrnunder given arbitrary initial overpressurerndistribution p0 the sought distribution p in thernwhole area of the flow is continuously.