On constructing stable perfectly matched layers as an absorbing boundary condition for Euler equations

2002 ◽  
Author(s):  
F. Hu
Keyword(s):  
Boundary Condition ◽  
Euler Equations ◽  
Absorbing Boundary Condition ◽  
Perfectly Matched Layers ◽  
Absorbing Boundary ◽  
Matched Layers

scholarly journals Well-Designed Termination Wall of Perfectly Matched Layers for ATS-FDTD Method

2019 ◽  
Vol 2019 ◽  
pp. 1-6
Author(s):  
Ju Ge ◽  
Liping Gao ◽  
Rengang Shi
Keyword(s):  
Boundary Condition ◽  
Numerical Experiments ◽  
Fdtd Method ◽  
Difference Schemes ◽  
Absorbing Boundary Condition ◽  
Perfectly Matched Layers ◽  
Absorbing Boundary ◽  
Matched Layers ◽  
Special Difference

This paper presents a well-designed termination wall for the perfectly matched layers (PML). This termination wall is derived from Mur’s absorbing boundary condition (ABC) with special difference schemes. Numerical experiments illustrate that PML and the termination wall works well with ATS-FDTD(Shi et al. 2015). With the help of termination wall, perfectly matched layers can be decreased to two layers only; meanwhile, the reflection error still reaches -60[dB] when complex waveguide is simulated by ATS-FDTD.

PERFECTLY MATCHED LAYERS FOR ELASTODYNAMICS: A NEW ABSORBING BOUNDARY CONDITION

1996 ◽  
Vol 04 (04) ◽  
pp. 341-359 ◽  
Author(s):  
W.C. CHEW ◽  
Q.H. LIU
Keyword(s):  
Boundary Condition ◽  
Half Space ◽  
Electromagnetic Waves ◽  
Three Dimensional ◽  
Absorbing Boundary Condition ◽  
Perfectly Matched Layers ◽  
Absorbing Boundary ◽  
Multiple Data ◽  
Open Region ◽  
Matched Layers

The use of perfectly matched layers (PML) has recently been introduced by Berenger as a material absorbing boundary condition (ABC) for electromagnetic waves. In this paper, we will first prove that a fictitious elastodynamic material half-space exists that will absorb an incident wave for all angles and all frequencies. Moreover, the wave is attenuative in the second half-space. As a consequence, layers of such material could be designed at the edge of a computer simulation region to absorb outgoing waves. Since this is a material ABC, only one set of computer codes is needed to simulate an open region. Hence, it is easy to parallelize such codes on multiprocessor computers. For instance, it is easy to program massively parallel computers on the SIMD (single instruction multiple data) mode for such codes. We will show two- and three-dimensional computer simulations of the PML for the linearized equations of elastodynamics. Comparison with Liao’s ABC will be given.

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