scholarly journals Coupling the BEM/TBEM and the MFS for the Numerical Simulation of Wave Propagation in Heterogeneous Fluid-Solid Media

2011 ◽  
Vol 2011 ◽  
pp. 1-26 ◽  
Author(s):  
António Tadeu ◽  
Igor Castro
Keyword(s):  
Wave Propagation ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Transient Analysis ◽  
Fundamental Solutions ◽  
Method Of Fundamental Solutions ◽  
Cpu Time ◽  
Solid Media ◽  
Full Domain ◽  
Element Method

This paper simulates wave propagation in an elastic medium containing elastic, fluid, rigid, and empty heterogeneities, which may be thin. It uses a coupling formulation between the boundary element method (BEM)/the traction boundary element method (TBEM) and the method of fundamental solutions (MFS). The full domain is divided into subdomains, which are handled separately by the BEM/TBEM or the MFS, to overcome the specific limitations of each of these methods. The coupling is enforced by applying the prescribed boundary conditions at all medium interfaces. The accuracy, efficiency, and stability of the proposed algorithms are verified by comparing the results with reference solutions. The paper illustrates the computational efficiency of the proposed coupling formulation by computing the CPU time and the error. The transient analysis of wave propagation in the presence of a borehole driven in a cracked medium is used to illustrate the potential of the proposed coupling formulation.

A Methodology Based on Structural Finite Element Method-Boundary Element Method and Acoustic Boundary Element Method Models in 2.5D for the Prediction of Reradiated Noise in Railway-Induced Ground-Borne Vibration Problems

2019 ◽  
Vol 141 (3) ◽  
Author(s):  
Dhananjay Ghangale ◽  
Aires Colaço ◽  
Pedro Alves Costa ◽  
Robert Arcos
Keyword(s):  
Finite Element ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Noise Analysis ◽  
Fundamental Solutions ◽  
Method Of Fundamental Solutions ◽  
Noise And Vibration ◽  
Model Soil ◽  
Acoustic Bem ◽  
Element Method

This work is focused on the analysis of noise and vibration generated in underground railway tunnels due to train traffic. Specifically, an analysis of noise and vibration generated by train passage in an underground simple tunnel in a homogeneous full-space is presented. In this methodology, a two-and-a-half-dimensional coupled finite element and boundary element method (2.5D FEM-BEM) is used to model soil–structure interaction problems. The noise analysis inside the tunnel is performed using a 2.5D acoustic BEM considering a weak coupling. The method of fundamental solutions (MFS) is used to validate the acoustic BEM methodology. The influence of fastener stiffness on vibration and noise characteristic inside a simple tunnel is investigated.

scholarly journals Solving the complete-electrode direct model of ERT using the boundary element method and the method of fundamental solutions

2014 ◽  
Vol 12 (3) ◽  
Author(s):  
T. E. Dyhoum ◽  
D. Lesnic ◽  
R. G. Aykroyd
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Stable Solution ◽  
Fundamental Solutions ◽  
Method Of Fundamental Solutions ◽  
Direct Model ◽  
Complete Electrode Model ◽  
Simply Connected ◽  
The Mathematical Model ◽  
Element Method

This paper discusses solving the forward problem for electrical resistance tomography (ERT). The mathematical model is governed by Laplace's equation with the most general boundary conditions forming the so-called complete electrode model (CEM). We examine this problem in simply-connected and multiply - connected domains (rigid inclusion, cavity and composite bi-material). This direct problem is solved numerically using the boundary element method (BEM) and the method of fundamental solutions (MFS). The resulting BEM and MFS solutions are compared in terms of accuracy, convergence and stability. Anticipating the findings, we report that the BEM provides a convergent and stable solution, whilst the MFS places some restrictions on the number and location of the source points.

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