Application of the perfectly matched absorbing layer model to the linear elastodynamic problem in anisotropic heterogeneous media

By F. Collino, C. Tsogka. 2001

797 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/7cf67faedbb1d2fc14827eb97d5c1bd42866e151

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In Computational Mechanics

In Electrical and Electronic Engineering

In Mechanics of Materials

Citations in the corpus

On the implementation of perfectly matched layers in a three‐dimensional fourth‐order velocity‐stress finite difference scheme (2003, methodology): “The theoretical reflection coefficients are matched with discrete layer thicknesses as follows [Collino and Tsogka, 2001]: PML(thickness 5) R = 0.01, PML(10) R = 0.001, and PML(20) R = 0.0001.”
An unsplit convolutional perfectly matched layer improved at grazing incidence for seismic wave propagation in poroelastic media (2008, methodology): “As n Gedney 1998 and Collino and Tsogka 2001 , the damping rofile in the PML is chosen as dx x d0 x / L N along the x-axis nd dy y d0 y / L N along the y-axis, where L is the thickess of the absorbing layer, N 2, and d0 N 1 VPmax og Rc / 2L 5827.86, VPmax being equal to the speed of the fast…”
Simulations of Ground Motion in the Los Angeles Basin Based upon the Spectral-Element Method (2004, methodology): “More accurate absorbing boundary conditions, such as the perfectly matched layer (e.g., Bérenger, 1994; Chew and Liu, 1996; Collino and Tsogka, 2001; Komatitsch and Tromp, 2003), could be used instead, but, because we use a large mesh, the simpler paraxial conditions are sufficient.”
A perfectly matched layer absorbing boundary condition for the second-order seismic wave equation (2003, methodology): “In the context of wave propagation, the PML has been applied to both acoustic (e.g. Liu & Tao 1997; Qi & Geers 1998; Hagstrom 1999) and elastic problems (e.g. Chew & Liu 1996; Hastings et al. 1996; Collino & Monk 1998a; Collino & Tsogka 2001; Basu & Chopra 2003; Cohen & Fauqueux 2003).”
An improved vacuum formulation for 2D finite-difference modeling of Rayleigh waves including surface topography and internal discontinuities (2012, background): “The left, right, and bottom edges of the model are attached with the perfectly matched layer (PML) absorbing boundaries (Collino and Tsogka, 2001) during the modeling so that the energy of the spurious reflections can be minimized.”
An unsplit convolutional perfectly matched layer technique improved at grazing incidence for the viscoelastic wave equation (2009, methodology): “…reformulated in a split form with complex coordinate stretching (Chew & Weedon 1994; Collino & Monk 1998) and adapted to elastic (Chew & Liu 1996; Collino & Tsogka 2001; Komatitsch & Tromp 2003; Cohen & Fauqueux 2005; Festa & Vilotte 2005; Festa et al. 2005; Ma & Liu 2006; Drossaert &…”
An hp-adaptive discontinuous Galerkin finite-element method for 3-D elastic wave modelling (2010, background): “The damping profile dθ varies from 0 at the entrance of the layer, up to a maximum real value dθ max at the end (Collino & Tsogka 2001) such that dθ = dθ max ( δθ Lcpml )2 , (18) and dθ max = −3VP log(Rcoeff ) 2Lcpml ∀θ ∈ {x, y, z}, (19) with δθ as the depth of the element barycentre inside the…”
Unsplit complex frequency-shifted PML implementation using auxiliary differential equations for seismic wave modeling (2010, methodology): “Thus, the optimal d0 depends on L and R. Collino and Tsogka 2001 propose R for different widths of the PML layer as R5 0.01, R10 0.001, and R20 0.0001, where the superscript denotes the width of the PML region in the grid spacing.”
Elastic PMLs for resonator anchor loss simulation (2005, background): “In [8], a perfectly matched layer for timeharmonic elastodynamics is described which – unlike previous elastodynamic PMLs such as those in [14] – can be implemented with finite elements in a standard displacement framework, with no non-standard global unknowns.”
Prediction of Broadband Ground-Motion Time Histories: Hybrid Low/High- Frequency Method with Correlated Random Source Parameters (2006, methodology): “This FD code uses the perfectly matched layer method to model an artificial boundary (Collino and Tsogka, 2001; Marcinkovich and Olsen, 2003) and a coarse-grained method to model attenuation (Day and Bradley, 2001; Liu and Archuleta, 2006).”