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Section: New Results

Modelling of acoustic streaming

Participants : Hervé Guillard, Argyris Delis [TUC, Crete] .

Acoustic streaming is a particularly interesting example of the interaction of phenomena occuring on two different time scales. From a practical point of view, it is mainly used to generate a slow motion in micro-fluidic devices by means of high frequency acoustic sources. Modelling of these interaction is a challenge : taking into account the high frequency phenomena is prohibitively expensive but on the other hand, there is no universal agreement on existing averaged models. In order to have reference simulations, we have constructed a numerical code solving the compressible Navier-Stokes equations with high-order accuracy using compact schemes. Comparison with asymptotic analytical results has been done and shows that the code is able to simulate acoustic waves propagation in a stable way on long time scale, a property that is essential for the study of this phenomenon.