* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

# Download Solution of the 3D Linearized Euler Equations for Acoustical

Survey

Document related concepts

Airy wave theory wikipedia , lookup

Lattice Boltzmann methods wikipedia , lookup

Derivation of the Navier–Stokes equations wikipedia , lookup

Lift (force) wikipedia , lookup

Wind-turbine aerodynamics wikipedia , lookup

Flow measurement wikipedia , lookup

Euler equations (fluid dynamics) wikipedia , lookup

Bernoulli's principle wikipedia , lookup

Flow conditioning wikipedia , lookup

Compressible flow wikipedia , lookup

Aerodynamics wikipedia , lookup

Navier–Stokes equations wikipedia , lookup

Reynolds number wikipedia , lookup

Transcript

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.