scholarly journals Large Scale Wave Analysis for Fluid-Saturated Porous Media Using Convolution Quadrature Boundary Element Method

2012 ◽  
Vol 68 (2) ◽  
pp. I_187-I_197
Author(s):  
Takahiro SAITOH ◽  
Fumika CHIKAZAWA ◽  
Sohichi HIROSE
Keyword(s):  
Porous Media ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Large Scale ◽  
Saturated Porous Media ◽  
Wave Analysis ◽  
Convolution Quadrature ◽  
Fluid Saturated Porous Media ◽  
Element Method

SH wave scattering by a frozen porous inclusion in fluid-saturated porous media using two approaches: wave function expansion and boundary element method

2019 ◽  
Vol 219 (3) ◽  
pp. 2187-2197
Author(s):  
A Furukawa ◽  
T Saitoh ◽  
S Hirose
Keyword(s):  
Porous Media ◽  
Wave Function ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Wave Scattering ◽  
Saturated Porous Media ◽  
Sh Wave ◽  
Function Expansion ◽  
Fluid Saturated Porous Media ◽  
Element Method

Summary This paper presents SH wave scattering by a frozen porous inclusion embedded in fluid-saturated porous media. We propose two computational methods, wave function expansion (WFE) and boundary element method (BEM), for wave scattering analyses. In WFE formulation, the components of displacement and stress are expressed by the superposition of the Bessel functions. The unknown coefficients in the expression are obtained via boundary conditions. On the other hand, in BEM formulation, boundary values of the frozen porous media are expressed by generalized displacement and traction. The generalized displacement consists of displacement components of the solid skeleton and the ice matrix, and the generalized traction is composed of the traction components of the two solid phases. Several numerical examples provide the validity of the proposed methods and the properties of the scattered waves. The discussion of the scattering properties focuses on the effects of ice saturation parameter, frequency of harmonic incident wave, the incident angle of the harmonic wave and the shape of the inclusion.

Recent Development of the Fast Multipole Boundary Element Method for Modeling Acoustic Problems

2009 ◽  
Author(s):  
Yijun Liu ◽  
Milind Bapat
Keyword(s):  
Boundary Element Method ◽  
Acoustic Wave ◽  
Boundary Element ◽  
Large Scale ◽  
Boundary Integral ◽  
Practical Significance ◽  
Fast Multipole ◽  
Tree Structures ◽  
Wave Problems ◽  
Element Method

Some recent development of the fast multipole boundary element method (BEM) for modeling acoustic wave problems in both 2-D and 3-D domains are presented in this paper. First, the fast multipole BEM formulation for 2-D acoustic wave problems based on a dual boundary integral equation (BIE) formulation is presented. Second, some improvements on the adaptive fast multipole BEM for 3-D acoustic wave problems based on the earlier work are introduced. The improvements include adaptive tree structures, error estimates for determining the numbers of expansion terms, refined interaction lists, and others in the fast multipole BEM. Examples involving 2-D and 3-D radiation and scattering problems solved by the developed 2-D and 3-D fast multipole BEM codes, respectively, will be presented. The accuracy and efficiency of the fast multipole BEM results clearly demonstrate the potentials of the fast multipole BEM for solving large-scale acoustic wave problems that are of practical significance.

Sign in / Sign up

Export Citation Format

Share Document