Dynamic analysis of a poroelastic layered half-space using continued-fraction absorbing boundary conditions

2013 ◽  
Vol 263 ◽  
pp. 81-98 ◽  
Author(s):  
Jin Ho Lee ◽  
Jae Kwan Kim ◽  
John L. Tassoulas
Keyword(s):  
Boundary Conditions ◽  
Dynamic Analysis ◽  
Half Space ◽  
Continued Fraction ◽  
Absorbing Boundary Conditions ◽  
Absorbing Boundary ◽  
Layered Half Space

On Transient Three-Dimensional Absorbing Boundary Conditions for the Modeling of Acoustic Scattering from Near-Surface Obstacles

1997 ◽  
Vol 05 (01) ◽  
pp. 117-136 ◽  
Author(s):  
Loukas F. Kallivokas ◽  
Aggelos Tsikas ◽  
Jacobo Bielak
Keyword(s):  
Finite Element ◽  
Boundary Conditions ◽  
Half Space ◽  
Three Dimensional ◽  
Acoustic Scattering ◽  
Absorbing Boundary Conditions ◽  
Scattering Problems ◽  
Absorbing Boundary ◽  
Near Surface ◽  
Stiffness Matrices

We have recently developed absorbing boundary conditions for the three-dimensional scalar wave equation in full-space. Their applicability has been extended to half-space scattering problems where the scatterer is located near a pressure-free surface. A variational scheme was also proposed for coupling the structural acoustics equations with the absorbing boundary conditions. It was shown that the application of a Galerkin method on the variational form results in an attractive finite element scheme that, in a natural way, gives rise to a surface-only absorbing boundary element on the truncation boundary. The element — the finite element embodiment of a second-order absorbing boundary condition — is completely characterized by a pair of symmetric, frequency-independent damping and stiffness matrices, and is equally applicable to the transient and harmonic steady-state regimes. Previously, we had applied the methodology to problems involving scatterers of arbitrary geometry. In this paper, we validate our approach by comparing numerical results for rigid spherical scatterers submerged in a half-space, against a recently developed analytic solution.

CONTINUED-FRACTION ABSORBING BOUNDARY CONDITIONS FOR THE WAVE EQUATION

2000 ◽  
Vol 08 (01) ◽  
pp. 139-156 ◽  
Author(s):  
MURTHY N. GUDDATI ◽  
JOHN L. TASSOULAS
Keyword(s):  
Boundary Condition ◽  
Boundary Conditions ◽  
Transient Analysis ◽  
Continued Fraction ◽  
Finite Difference Methods ◽  
Unbounded Domains ◽  
Absorbing Boundary Conditions ◽  
High Order ◽  
Absorbing Boundary ◽  
Wave Phenomena

Absorbing boundary conditions are generally required for numerical modeling of wave phenomena in unbounded domains. Local absorbing boundary conditions are generally preferred for transient analysis because of their computational efficiency. However, their accuracy is severely limited because the more accurate high-order boundary conditions cannot be implemented easily. In this paper, a new arbitrarily high-order absorbing boundary condition based on continued fraction approximation is presented. Unlike the existing boundary conditions, this one does not contain high-order derivatives, thus making it amenable to implementation in conventional C0 finite element and finite difference methods. The superior numerical properties and implementation aspects of this boundary condition are discussed. Numerical examples are presented to illustrate the performance of these new high-order boundary condition.

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