scholarly journals Note on non-orthogonality of local curvilinear co-ordinates in a three-dimensional boundary element method

2005 ◽  
Vol 48 (3) ◽  
pp. 305-324 ◽  
Author(s):  
C. Fochesato ◽  
S. T. Grilli ◽  
P. Guyenne
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Three Dimensional ◽  
Dimensional Boundary ◽  
Element Method

scholarly journals Predicted Absorption Performance of Cylindrical and Rectangular Permeable Membrane Space Sound Absorbers Using the Three-Dimensional Boundary Element Method

2019 ◽  
Vol 11 (9) ◽  
pp. 2714 ◽  
Author(s):  
Masahiro Toyoda ◽  
Kota Funahashi ◽  
Takeshi Okuzono ◽  
Kimihiro Sakagami
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Dimensional Analysis ◽  
Prediction Accuracy ◽  
Sound Absorption ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Permeable Membrane ◽  
Dimensional Boundary ◽  
Element Method

Three-dimensional, permeable membrane space sound absorbers have been proposed as practical and economical alternatives to three-dimensional, microperforated panel space sound absorbers. Previously, the sound absorption characteristics of a three-dimensional, permeable membrane space sound absorber were predicted using the two-dimensional boundary element method, but the prediction accuracy was impractical. Herein, a more accurate prediction method is proposed using the three-dimensional boundary element method. In the three-dimensional analysis, incident waves from the elevation angle direction and reflected waves from the floor are considered, using the mirror image. In addition, the dissipated energy ratio is calculated based on the sound absorption of a surface with a unit sound absorption power. To validate the three-dimensional numerical method, and to estimate the improvement in prediction accuracy, the results are compared with those of the measurements and two-dimensional analysis. For cylindrical and rectangular space sound absorbers, three-dimensional analysis provides a significantly improved prediction accuracy for any shape and membrane sample that is suitable for practical use.

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