Hypersonic Boundary Layer Development on Tube Wall in Long-Distance Propagation of Shock Wave

Abstract

A shock stationary frame method is proposed to simulate efficiently an attenuating shock wave due to the interaction with a boundary layer in an expansion tube. Numerical simulations of the expansion tube were conducted and compared with two methods: the proposed shock stationary frame method and an adaptive mesh refinement technique in laboratory frame, which was used in a previous study. As a result of comparing the boundary layer development and the shock speeds in the numerical simulations by the two methods, they showed reasonable agreement and reproduced the analytical solution. The shock stationary frame method can reduce the computational cost, which is expected to be applied to calculations for the turbulent boundary layer development in long-distance propagation of the shock wave.