The unsteady laminar how due to a Type IV shock-on-shock interaction a
t Mach 8 is examined with a flux-split scheme based on a modified Steg
er-Warming method. A sequence of meshes is utilized to perform a grid
resolution study and the results are compared with available experimen
tal data. The formulation is cell-centered finite-volume with second o
rder accuracy obtained with the MUSCL approach in conjunction with a l
imiter to prevent unphysical spatial oscillations. Viscous terms are c
entrally differenced. The solution is advanced with implicit Gauss-Sei
del line relaxation. The calculations indicate unsteady behavior on al
l meshes. The coherent structure of the asymptotic solution is examine
d. The impinging supersonic jet limit cycle exhibits a relatively regu
lar oscillatory behavior with a dominant frequency of about 30 kHz. Th
is is accompanied by sizeable movement of the terminating jet shock an
d associated variation in surface pressure and heat transfer rates.