Numerical study of supersonic, underwater flows past a blunt body

Supersonic hows past a blunt body in air and in water are numerically inves tigated by using a high-resolution Euler/Navier-Stokes solver. The numerica l method used is a fourth-order Runge-Kutta method for time integration wit h a fifth-order weighted essentially nonoscillatory scheme for discretizing the convective terms and central differencing for the viscous terms. The i nviscid- and viscous-flow results are compared. It was found that the invis cid-flow model is able to predict reasonably accurate flowfields such as th e bow shock and sonic-line locations. Moreover, for the case of medium wate r the bow-shock location is farther upstream, and the sonic line is farther downstream compared with the case of medium air.