Flows can modify the effects of nonlinear reactions. Here we use a lat
tice Boltzmann method to simulate an athermal flow which advects react
ant species. As an example we consider a reactive system modeled by th
e Brusselator which exhibits Turing structures; the system is subjecte
d to mixing as induced by the wakes behind obstacles. The resulting ef
fect is a modification of the reaction patterns which can be as dramat
ic as their disappearance.