DYNAMICS OF AN IMPURITY IN A 1D PERIODIC BURGERS FLOW

We discuss the motion of an impurity advected by a non-uniform, unstea dy flow provided by the ID Burgers equation with initial sinusoidal ve locity. The analysis mainly concerns die interaction of the impurity w ith the developing shock structure. Our numerical experiments suggest that the shock centre is the final equilibrium position for any impuri ty, independent of its properties and initial conditions. For the case s with small relaxation time die numerical results are in agreement wi th those obtained by a steady simplified analysis.