A Numerical Study Of The Coefficient Matrix Of The Boundary Element Method Near Characteristic Frequencies

1994 ◽  
Vol 175 (1) ◽  
pp. 39-50 ◽  
Author(s):  
P. Juhl
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Numerical Study ◽  
Coefficient Matrix ◽  
Characteristic Frequencies ◽  
Element Method

Boundary element method in numerical study of three-dimensional Stokes flows in channels of arbitrary shape

2012 ◽  
Vol 9 (1) ◽  
pp. 94-97
Author(s):  
Yu.A. Itkulova
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Cross Section ◽  
Numerical Study ◽  
Three Dimensional ◽  
Cylindrical Tube ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Periodic Flows ◽  
Element Method

In the present work creeping three-dimensional flows of a viscous liquid in a cylindrical tube and a channel of variable cross-section are studied. A qualitative triangulation of the surface of a cylindrical tube, a smoothed and experimental channel of a variable cross section is constructed. The problem is solved numerically using boundary element method in several modifications for a periodic and non-periodic flows. The obtained numerical results are compared with the analytical solution for the Poiseuille flow.

A 3D BOUNDARY ELEMENT METHOD FOR DETERMINATION OF ACOUSTIC EIGENFREQUENCIES CONSIDERING ADMITTANCE BOUNDARY CONDITIONS

1993 ◽  
Vol 01 (04) ◽  
pp. 455-468 ◽  
Author(s):  
Z. S. CHEN ◽  
G. HOFSTETTER ◽  
H. A. MANG
Keyword(s):  
Boundary Element Method ◽  
Boundary Conditions ◽  
Boundary Element ◽  
Large Scale ◽  
Numerical Study ◽  
Numerical Algorithms ◽  
Numerical Results ◽  
Simple Problem ◽  
Element Method

A 3D boundary element method for the determination of the acoustic eigenfrequencies of car compartments, characterized by a unified treatment of Robin, Dirichlet, and Neumann boundary conditions, is presented. The drawback of frequency-dependent matrices of the eigenvalue problem is overcome by means of the Particular Integral Method. Thus, the standard numerical algorithms for the extraction of eigenvalues can be applied. The numerical study contains both a comparison of numerical results with analytical solutions of a simple problem with different types of boundary conditions and a comparison of numerical results of a large-scale problem with respective numerical results, computed on the basis of the finite element method. In addition, for the latter example, different numerical algorithms for the eigenvalue extraction are examined.

A TECHNIQUE FOR PLANE-SYMMETRIC SOUND FIELD ANALYSIS IN THE FAST MULTIPOLE BOUNDARY ELEMENT METHOD

2005 ◽  
Vol 13 (01) ◽  
pp. 71-85 ◽  
Author(s):  
Y. YASUDA ◽  
T. SAKUMA
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Large Scale ◽  
Numerical Study ◽  
Sound Field ◽  
Field Analysis ◽  
Fast Multipole ◽  
Plane Symmetric ◽  
Sound Fields ◽  
Element Method

The fast multipole boundary element method (FMBEM) is an advanced BEM, with which both the operation count and the memory requirements are O(Na log b N) for large-scale problems, where N is the degree of freedom (DOF), a ≥ 1 and b ≥ 0. In this paper, an efficient technique for analyses of plane-symmetric sound fields in the acoustic FMBEM is proposed. Half-space sound fields where an infinite rigid plane exists are typical cases of these fields. When one plane of symmetry is assumed, the number of elements and cells required for the FMBEM with this technique are half of those for the FMBEM used in a naive manner. In consequence, this technique reduces both the computational complexity and the memory requirements for the FMBEM almost by half. The technique is validated with respect to accuracy and efficiency through numerical study.

BEHAVIOR OF OSCILLATING BUBBLES NEAR ELASTIC MEMBRANES: AN EXPERIMENTAL AND NUMERICAL STUDY

2005 ◽  
Vol 19 (28n29) ◽  
pp. 1579-1582 ◽  
Author(s):  
GEOK PEI ONG ◽  
BOO CHEONG KHOO ◽  
CARY TURANGAN ◽  
EVERT KLASEBOER ◽  
SIEW WAN FONG
Keyword(s):  
Boundary Element Method ◽  
Numerical Simulations ◽  
Boundary Element ◽  
Numerical Study ◽  
Spark Discharge ◽  
Thin Membrane ◽  
Profound Influence ◽  
Oscillating Bubbles ◽  
Elastic Membranes ◽  
Element Method

Experimental observations and numerical simulations (based on the boundary element method) concerning an oscillating bubble near a flexible (thin) membrane are presented in this paper. The bubbles are created using an underwater electrical spark discharge. It is shown that the presence of a membrane can have a profound influence on the behavior of a bubble.

scholarly journals Numerical Modeling of the Wave-Plate-Current Interaction by the Boundary Element Method

Fluids ◽  
2021 ◽  
Vol 6 (12) ◽  
pp. 435
Author(s):  
Hasna Akarni ◽  
Laila El Aarabi ◽  
Laila Mouakkir ◽  
Soumia Mordane
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Numerical Study ◽  
Analytical Data ◽  
Geometrical Parameters ◽  
Free Surface Elevation ◽  
Uniform Current ◽  
Current Interaction ◽  
The Impact ◽  
Element Method

The aim of this work is to propose a numerical study of the interaction of a wave-horizontal plate fixed and completely immersed in a flat-bottomed tank with a uniform current flowing in the same direction as the incident wave. We investigate in particular the effect of the plate at minimizing the impact of the wave on the coast of beaches by studying the free surface elevation and the reflection coefficient, as well as the influence of the various geometrical parameters on the latter, taking into account the presence of the current. The numerical method used in this study is the boundary element method (BEM), and the results obtained will be confronted with experimental and analytical data existing in the literature.

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