A study of Boundary Element Method for 3D homogeneous Helmholtz equation with Dirichlet boundary condition

2016 ◽  
pp. 271-279
Author(s):  
M Tran ◽  
V Huynh
Keyword(s):  
Boundary Condition ◽  
Boundary Element Method ◽  
Helmholtz Equation ◽  
Boundary Element ◽  
Dirichlet Boundary Condition ◽  
Dirichlet Boundary ◽  
Element Method

Prediction of Acoustical Behavior in Cavities Using an Indirect Boundary Element Method

1987 ◽  
Vol 109 (1) ◽  
pp. 22-28 ◽  
Author(s):  
C. R. Kipp ◽  
R. J. Bernhard
Keyword(s):  
Boundary Condition ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Point Sources ◽  
Cavity Pressure ◽  
Impedance Boundary ◽  
Indirect Boundary Element Method ◽  
Sound Fields ◽  
Pressure Distributions ◽  
Element Method

An indirect boundary element method is developed to predict sound fields in acoustical cavities. An isoparametric quadratic boundary element is utilized. The formulations of pressure, velocity and/or impedance boundary conditions are developed and incorporated into the method. The capability to include acoustic point sources within the cavity is also implemented. The method is applied to the prediction of sound fields in spherical and rectangular cavities. All three boundary condition types are verified. Cases having a point source within the cavity domain are also studied. Numerically determined cavity pressure distributions and responses are presented. The numerical results correlate well with available analytical results.

scholarly journals The Prediction of Hull Gesture and Flow Around Ship Based on Taylor Expansion Boundary Element Method

2019 ◽  
Vol 26 (2) ◽  
pp. 198-211
Author(s):  
Jiaye Gong ◽  
Yunbo Li
Keyword(s):  
Boundary Condition ◽  
Free Surface ◽  
Boundary Element Method ◽  
Flow Field ◽  
Boundary Element ◽  
Taylor Expansion ◽  
Surface Condition ◽  
Control Point ◽  
Surface Boundary ◽  
Element Method

Abstract Based on the potential flow theory and traditional boundary element method (BEM), Taylor expansion boundary element method (TEBEM) is introduced in this paper for the prediction of the flow field around ship, as a result, hull gesture and pressure distribution on hull surface are obtained. By this method, dipole strength of every field point is expanded in Taylor expansion, so that approximately continuous hull and free surface boundary condition could be achieved. To close the new equation system, the boundary condition of tangent velocity in every control point is introduced. With the simultaneous solving of hull boundary condition and free surface condition, the disturbance velocity potential could be obtained. The present method is used to predict the flow field and hull gesture of Wigley parabolic hull, Series 60 and KVLCC2 models. To validate the numerical model for full form ship, the wave profile, the computed hull gesture and hull surface pressure of KVLCC2 model are compared with experimental results.

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