Mathematical modelling of noise around a Y-shaped windy road

In this study, we investigated the sound radiation from vehicles moving on a road with a Y-shaped fork in windy conditions. First, we consider the problem for two point sound sources moving in opposite directions along a road with an arbitrary bend. The background of the road is modelled as an elastic half-space. The solution to this problem is obtained using the integral Fourier transforms over space variables and time, and the stationary phase method. Next, the solution to the general case for many sources moving along a Y-shaped road fork is obtained as the superposition of the partial solutions. We performed a numerical analysis of the traffic noise characteristics for a Y-shaped fork on a city road in the town of Lodz, Poland as an example.