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Solution of the 3D Linearized Euler Equations for Acoustical
Propagation around Bodies
Benjamin Basel, Claus-Dieter Munz*, Michael Grünewald
EADS, Corporate Research Center Germany
University of Stuttgart, IAG
The application of numerical simulation in aerocaoustics has been considerably augmented in
the last few years. New numerical methods and supercomputers allow to calculate a nearly
exact flow around complex bodies. For the calculation of flow generated acoustical sources it
is necessary to obtain a high precision in the dynamic flow field simulation. LES is an
appropriate way to achieve this accuracy at high Reynolds numbers.
To simulate the flow LES is used to get the pressure distribution in the 3D field. Lighthill
analogy respectively the method of Ffowcs Williams-Hawkings( FWH) is used to get the
aeroacoustical sources. In the first step dipole sources and in the second step quadrupole
sources are taken into account.
To simulate the propagation of acoustical waves the 3D linearized Eulerian Equations in
conservative form are solved with a Finite Difference Method on a special grid . The
advantage of the grid presented is that reflections from the body are taken into account and
that it has a very low dispersion with the DRP scheme.