Wave propagation by the passage of two high-speed trains in a tunnel

A numerical simulation of unsteady compressible flow induced by two high-speed trains in oncoming traffic within a tunnel is presented. The computations were carried out by means of a second-order accurate Harten-Yee type upwind TVD scheme. In order to take the effect of friction into account, a source term is included in the governing flow equations. In the computation, moving boundary configurations were used to simulate the two trains passing through the tunnel. As geometrical configuration, the Einmalberg tunnel, where experimental data are available, was selected. The computational results agree reasonably well with their experimental counter-part. The waves interaction and the waves propagation process at the tunnel entrance and exit as well as within the tunnel are addressed. Finally, the influence on the transmitted waves at the tunnel exit portal and the variation of the negative pressure drop during the passage of the two trains are discussed.