scholarly journals Inverse acoustic scattering using high-order small-inclusion expansion of misfit function

2018 ◽  
Vol 12 (4) ◽  
pp. 921-953 ◽  
Author(s):  
Marc Bonnet ◽  
Keyword(s):  
Acoustic Scattering ◽  
High Order ◽  
Small Inclusion

HIGH-ORDER CURVILINEAR SIMULATIONS OF FLOWS AROUND NON-CARTESIAN BODIES

2005 ◽  
Vol 13 (04) ◽  
pp. 731-748 ◽  
Author(s):  
OLIVIER MARSDEN ◽  
CHRISTOPHE BOGEY ◽  
CHRISTOPHE BAILLY
Keyword(s):  
Reynolds Number ◽  
Critical Reynolds Number ◽  
Stokes Equations ◽  
Acoustic Scattering ◽  
High Order ◽  
Navier Stokes ◽  
Numerical Techniques ◽  
Navier Stokes Equations ◽  
Flow Around A Cylinder ◽  
Naca 0012

The current work describes the application of high-order numerical techniques to single or multiple overset curvilinear body-fitted grids, demonstrating the feasibility of direct computations of noise radiated by flows around complex non-Cartesian bodies. Flows of both physical and industrial interest can be investigated with this approach. We first rapidly describe the numerical techniques implemented in our curvilinear simulations. The explicit high-order differencing and filtering schemes are presented, as well as their application to the curvilinear Navier–Stokes equations. We then present brief results of various 2-D acoustic simulations. First the flow around a cylinder, and the associated acoustic field, are described. The diameter-based Reynolds number Re D = 150 is under the critical Reynolds number of the onset of 3-D phenomena in the vortex-shedding. Simulation results can thus be meaningfully compared to experimental measurements. A case of acoustic scattering is then examined. A non-compact monopolar source is placed half way between two differently sized cylinders. A complex diffraction pattern is created, and resulting RMS pressure data are compared to the analytical solution. Finally the noise generated by a low Reynolds number laminar flow around a NACA 0012 airfoil is presented.

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