On the use of co-ordinate stretching in the numeral computation of high frequency scattering†
Abstract
The scattering of the sound of a jet engine by an airplane fuselage is modelled by solving the axially symmetric Helmholtz equation exterior to a long thin ellipsoid. The integral equation method based on the single layer potential formulation is used. A family of coordinate systems on the body is introduced and an algorithm is presented to determine the optimal co-ordinate system. Numerical results verify that the optimal choict enables the solution to be computed with a grid that is coarse relative to the wavelength.
- Publication:
-
Journal of Sound Vibration
- Pub Date:
- October 1978
- DOI:
- 10.1016/S0022-460X(78)80091-1
- Bibcode:
- 1978JSV....60..543B
- Keywords:
-
- Acoustic Scattering;
- Coordinate Transformations;
- Engine Noise;
- Neumann Problem;
- Numerical Integration;
- Acoustic Propagation;
- Algorithms;
- Ellipsoids;
- Far Fields;
- Fuselages;
- Helmholtz Equations;
- High Frequencies;
- Jet Engines;
- Optics;
- Sound Propagation;
- Acoustics