A Stable, perfectly matched layer for linearized Euler equations in unslit physical variables

By Fang Q. Hu. 2001

321 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/6782f6ac7d13bd1a8ce451f9c7501908ead5a701

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In Computational Mechanics

In Electrical and Electronic Engineering

Citations in the corpus

Computational aeroacoustics: progress on nonlinear problems of sound generation (2004, background): “More recent work appears to have resolved these difficulties, and well-posed (stable) layers can now be obtained under general uniform flows [209,212,213].”
On the implementation of perfectly matched layers in a three‐dimensional fourth‐order velocity‐stress finite difference scheme (2003, methodology): “Res., 108(B5), 2276, doi:10.1029/2002JB002235, 2003.”
An unsplit convolutional perfectly matched layer improved at grazing incidence for the seismic wave equation (2007, methodology): “In terms of the intrinsic instabilities observed for some anisotropic materials Becache et al., 2003; Appelo and Kreiss, 2006 ,i n future work it would be interesting to try to overcome such limitations based on the modal approach of Hagstrom 2003 and Appelo and Kreiss 2006, on new models such as th”
A Perfectly Matched Layer absorbing boundary condition for linearized Euler equations with a non-uniform mean flow (2005, methodology): “The method used in [18] has also been recently applied to the shallow water equation in geophysics[2].”
On the long-time behavior of unsplit perfectly matched layers (2004, background): “In addition to the application it finds in computational electromagnetics, the PML idea has also been applied to wave problems in acoustics [4], [5], elasticity [6], and shallow water waves [7].”
Numerical Modeling of Magnetohydrodynamic Wave Propagation and Refraction in Sunspots (2006, methodology): “In our numerical model we applied nonreflecting boundary conditions based on an absorbing 2D perfectly matched layer (PML; Berenger 1994, 1996; Hu 1996; Qi & Geers 1998; Hu 2001).”
Revisiting open boundary conditions from the point of view of characteristic variables (2005, methodology): “@ @n ¯vn r g h = 0 ( 25 ) which gives by integration through :”