results are plotted along the line mm. It can be observed that RBIE agrees with y=150 COMSOL better than LBIE in the region -0.050] and 0.10]; x=[-0.10, x=[0.050, whereas LBIE agrees better in the range 0.050], and also -0.10] x=[-0.050, x=[-0.15, and 0.15]. x=[0.10, Figure Calculated pressure for the different solutions along the line y=150 mm for k=60. In Figure 4.23, the results are plotted along the line It is observed that LBIE x=0. shows good agreement with COMSOL; so that the difference is not visible in the given plot. RBIE also shows a good agreement overall. Figure Calculated pressure for the different solutions along the line x=0 for Similarly, the discontinuity around m represents the thin body and P k=60. y=0.2 is assigned as zero at this location. 3D example problem In this sub-section, the acoustic wave propagation around a thin plate immersed in a liquid is investigated for a 3D problem. A solution domain with dimensions 100mm x 100mm x 60mm is considered, 60mm being the height (See Figure 4.24). A thin plate with 50mm x 50mm cross-section is placed at the center of the domain, i.e. at the coordinates (50mm, 50mm, 30mm). Two different cases are considered for the thickness of the thin plate, ht, i.e. ht = 1mm and the null thickness (denoted as ht =0
results are plotted along the line y=150 mm. It can be observed that RBIE agrees with COMSOL better than LBIE in the region x=[-0.10, -0.050] and x=[0.050, 0.10]; whereas LBIE agrees better in the range x=[-0.050, 0.050], and also x=[-0.15, -0.10] and x=[0.10, 0.15]. Figure Calculated pressure for the different solutions along the line y=150 mm for k=60. In Figure 4.23, the results are plotted along the line x=0. It is observed that LBIE shows good agreement with COMSOL; so that the difference is not visible in the given plot. RBIE also shows a good agreement overall. Figure Calculated pressure for the different solutions along the line x=0 for k=60. Similarly, the discontinuity around y=0.2 m represents the thin body and P is assigned as zero at this location. 3D example problem In this sub-section, the acoustic wave propagation around a thin plate immersed in a liquid is investigated for a 3D problem. A solution domain with dimensions 100mm x 100mm x 60mm is considered, 60mm being the height (See Figure 4.24). A thin plate with 50mm x 50mm cross-section is placed at the center of the domain, i.e. at the coordinates (50mm, 50mm, 30mm). Two different cases are considered for the thickness of the thin plate, ht, i.e. ht = 1mm and the null thickness (denoted as ht =0
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