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An iterative algorithm for computing aeroacoustic integrals with application to the analysis of free shear flow noise
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10.1121/1.3466986
/content/asa/journal/jasa/128/4/10.1121/1.3466986
http://aip.metastore.ingenta.com/content/asa/journal/jasa/128/4/10.1121/1.3466986

Figures

Image of FIG. 1.
FIG. 1.

Principle of the ring-guided procedure. Case . For one source time [(a) and (b)] and the following [(c) and (d)], at high emission angle [(a) and (c)] a low emission angle [(b) and (d)]. The procedure tracks observer grid points located between the two full-line circles (bold crosses) while minimizing the number of useless tested points (squares). The dotted-line circles correspond to other source times, and are plotted for visual aid.

Image of FIG. 2.
FIG. 2.

CPU-time of test simulations with respect to the number of source-observer pairs, for different grid combination. (a) scanning emission-time procedure; (b) ring-guided emission-time procedure [solid line from estimation (9)].

Image of FIG. 3.
FIG. 3.

Snapshots of the fluctuating pressure, density, dilatation, vorticity and Lighthill’s source term (from top to bottom). The high speed flow is on top.

Image of FIG. 4.
FIG. 4.

Respective amplitudes (black boxes) and acoustic powers (gray boxes) of the subterms of Eq. (10), in the source domain. The value corresponds to the full Lighthill source term.

Image of FIG. 5.
FIG. 5.

Fluctuating pressure fields for a mixing layer. (a) direct computation (reference solution); (b) result from Lighthill’s analogy.

Image of FIG. 6.
FIG. 6.

Radial profile of acoustic pressure obtained from the acoustic analogy (symbols), source position , solid and dashed lines represent and decay respectively.

Image of FIG. 7.
FIG. 7.

Fluctuating pressure fields resulting from (a) summed contributions of driving source subterms , (b) summed contributions of subterms and 7, (c) summed contributions of subterms and subterms 5 and 7. (d) the subterm 1 alone; (e) summed contributions of subterms , (f) summed contributions of subterms .

Image of FIG. 8.
FIG. 8.

Single source point test case. (a) Account of observer points concerned by the procedure marching as a function of the ring radius . (b) Dependency on of proportionality ratios between the number of points located on the ring, or outside it, and the ring radius .

Image of FIG. 9.
FIG. 9.

(a) CPU-time and accounts of observer points concerned by the procedure marching as a function of the ring radius, for real source and observer domains, with different source grids. (b) CPU-time by ring step as a function of the number of [source-observer] pairs of which distance is between and . Each symbol corresponds to a source file time step, that is an entire value of .

Image of FIG. 10.
FIG. 10.

Evolution of coefficient with . Symbols: different observer grids for ; straight line: linear regression.

Tables

Generic image for table

Algorithm 1. Sketch of a reception time algorithm (instructions 1 and 9 are optional).

Generic image for table

Algorithm 2. Sketch of an emission time algorithm.

Generic image for table

Algorithm 3. Sketch of a ring-guided emission time algorithm (instructions 4 and 7 are optional).

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/content/asa/journal/jasa/128/4/10.1121/1.3466986
2010-10-18
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: An iterative algorithm for computing aeroacoustic integrals with application to the analysis of free shear flow noise
http://aip.metastore.ingenta.com/content/asa/journal/jasa/128/4/10.1121/1.3466986
10.1121/1.3466986
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