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A residue-based mode selection and sorting procedure for efficient poroelastic modeling in acoustic finite element applications
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10.1121/1.4824966
/content/asa/journal/jasa/134/6/10.1121/1.4824966
http://aip.metastore.ingenta.com/content/asa/journal/jasa/134/6/10.1121/1.4824966

Figures

Image of FIG. 1.
FIG. 1.

Description and notations of the poro-acoustic interaction problem.

Image of FIG. 2.
FIG. 2.

(Color online) Example of normalized modal participation factors, logarithmic scale.

Image of FIG. 3.
FIG. 3.

(Color online) Mesh and dimensions of small 2D application.

Image of FIG. 4.
FIG. 4.

(Color online) Mean quadratic pressure in the acoustic domain.

Image of FIG. 5.
FIG. 5.

(Color online) Two-dimensional porous mode shapes of modes 1–26: (top) solid and (bottom) fluid phases. Deformed mesh and magnitude of displacement ( -normalized modes).

Image of FIG. 6.
FIG. 6.

(Color online) Porous 2D selected and sorted mode shapes , , , , , , , : (top) solid and (bottom) fluid phases. Deformed mesh and magnitude of displacement.

Image of FIG. 7.
FIG. 7.

(Color online) Convergence with modal superposition of non sorted modes (a)–(c) and sorted modes (d)–(f): (a) Mode 1; (b) Modes 1–15; (c) Modes 1–26; (d) Modes 1, 2, 21; (e) Modes 1, 2, 21, 15, 4; (f) Modes 1, 2, 21, 15, 4, 12, 26, 16.

Image of FIG. 8.
FIG. 8.

(Color online) Mesh and dimensions of larger 2D application.

Image of FIG. 9.
FIG. 9.

(Color online) Mean quadratic pressure in the acoustic domain.

Image of FIG. 10.
FIG. 10.

(Color online) Convergence with modal superposition of non sorted modes (a)–(c) and sorted modes (d)–(f): (a) modes; (b) modes; (c) modes; (d) sorted modes; (e) sorted modes; (f) sorted modes.

Image of FIG. 11.
FIG. 11.

(Color online) Acoustic cavity mesh and dimensions for 3D problem.

Image of FIG. 12.
FIG. 12.

(Color online) Computation time comparison for 3D problem— .

Image of FIG. 13.
FIG. 13.

(Color online) Sparsity of the system matrix and detailed sparsity corresponding to the modal DOF, before and after mode selection procedure: (a and b) modes, (c and d) modes.

Image of FIG. 14.
FIG. 14.

(Color online) Convergence with modal superposition of selected modes for , porous material 1: (a) modes; (b) modes; (c) modes; and for , material 2: (d) modes; (e) modes; (f) modes.

Tables

Generic image for table
Algorithm 1

Procedure for selection of significant modes

Generic image for table
TABLE I.

Material parameters; notations and properties.

Generic image for table
TABLE II.

Significant modal contributions selection.

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/content/asa/journal/jasa/134/6/10.1121/1.4824966
2013-12-01
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A residue-based mode selection and sorting procedure for efficient poroelastic modeling in acoustic finite element applications
http://aip.metastore.ingenta.com/content/asa/journal/jasa/134/6/10.1121/1.4824966
10.1121/1.4824966
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