According to the theoretical predictions of Yanenko and Vorozhtsov , for a second order scheme contact diffuses as t^1/3.
Using a third order code - PPM which behaves as second order near the contact discontinuity , the results were
found to be as predicted especially in the diffusing contact case with no shock. These results were extended to shock -contact
interaction problem in which the contact discontinuity diffusion is studied after shock passes the contact and within
some accuracy it was found that it is indeed the case for this problem also.
Another fact which came out of this study was the different behavior of slow/fast and fast/slow configurations
in both diffusing contact and shock contact interaction problem. In case of slow/fast configuration,
width of contact discontinuity grows with a power law coefficient of nearly
1/3 whereas in the fast/slow case the width of contact oscillates and doesn't grow
much.
Following are the results for various cases:
(a) Diffusing contact without shock
Growth rates for diffusing contact
(b) Shock-contact interaction