Mesh Refinement and Perfectly Matched Layer Optimisation
Energy Decay and Stability of a Perfectly Matched Layer For the Wave Equation
... ξ i ( x i ) = 40 , x i ≤ 0 . 1 or x i > 0 . 9 , 0 otherwise, i = 1 , 2 , 3 . Hence Ω 0 = [0 . 1 , 0 . 9] 3 and the PML has width 0.1 in each direction, while the FE mesh is aligned with the boundary B of the ...
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Multipole Perfectly Matched Layer for Finite-Difference Time-Domain electromagnetic modelling
... the optimisation of the new multipole PML follows more naturally the design of the CFS-PML stretching function as the α parameters are found to require inverse scaling when compared to the PML conductivity ...
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Second-order scalar wave field modeling with a first-order perfectly matched layer
... Numerical modeling of a seismic wave field is an important tool for seismic data processing and interpretation and for geodynamic studies of the Earth’s interior. In recent years, many full waveform inversion methods ...
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Comparison of a finite difference and a mixed finite element formulation of the uniaxial perfectly matched layer
... Figure 4 compares the dispersion in the FEM scheme and the FDTD scheme for free space, for four different wave propagation angles, θ = 0, 15, 30, 45 degrees, with η = 0.4. The x axis denotes the number of grid points per ...
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Boundary conditions and stability of a perfectly matched layer for the elastic wave equation in first order form
... the perfectly matched layer (PML) [1–12], grid stretching techniques [14] and others ...a layer where waves are damped by some modification or transformation of the ...the layer are ...
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A parameter-free perfectly matched layer formulation for the finite-element-based solution of the Helmholtz equation
... malised PML thicknesses, I opt , such that for kδ PML ∈ I opt Berm´ udez et al.’s unbounded absorbing function (9) yields an error that is optimal (in the sense of being both small and insensitive to change) for a given ...
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A parameter free perfectly matched layer formulation for the finite element based solution of the Helmholtz equation
... malised PML thicknesses, I opt , such that for kδ PML ∈ I opt Berm´ udez et al.’s unbounded absorbing function (9) yields an error that is optimal (in the sense of being both small and insensitive to change) for a given ...
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A higher order perfectly matched layer formulation for finite-difference time-domain seismic wave modeling
... framework, a PML formulation is developed that can be used to construct higher order PML’s of arbitrary order. The greater number of degrees of freedom associated with the higher order PML allows for enhanced flexibility ...
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Finite Element Analysis in Combination with Perfectly Matched Layer to the Numerical Modeling of Acoustic Devices in Piezoelectric Materials
... We notice that there is no reflection at the end of the mesh for both side edges and bottom boundaries. The last configuration highlight a new point to design SAW reso- nator. Indeed, up to now, the devices ...
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Stable perfectly-matched-layer boundary conditions for finite-difference time-domain simulation of acoustic waves in piezoelectric crystals
... In this work, we derive PML boundary conditions for the acoustic wave equations of motion within a piezoelectric crystal by applying a complex coordinate stretching of spatial variables in the frequency domain. The ...
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Stable perfectly-matched-layer boundary conditions for finite-difference time-domain simulation of acoustic waves in piezoelectric crystals
... In this work, we derive PML boundary conditions for the acoustic wave equations of motion within a piezoelectric crystal by applying a complex coordinate stretching of spatial variables in the frequency domain. The ...
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Perfectly Matched Layer for computing the dynamics of nonlinear Schrödinger equations by pseudospectral methods. Application to rotating Bose-Einstein condensates
... V (x, y) = 3(x 2 + y 2 ) 2 − 4(x 2 + y 2 ) 40 . (5.9) The contour plot of the density of the ground states, and hence for the initial data |ψ(x, t = 0)| 2 , for each case is illustrated in the first subfigure in Fig. 5.8 ...
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Perfectly Matched Layer in Numerical Wave Propagation: Factors that Affect its Performance
... a perfectly matched layer (PML) for application with finite- difference time domain 共 FDTD 兲 solutions of Max- well’s ...a layer of a specially designed anisotropic medium is put at the edge ...
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Development of a Perfectly Matched Layer Technique for a Discontinuous-Galerkin Spectral-Element Method
... IV. Results In order to assess and demonstrate the capabilities of the PML technique, we present solutions for four test–cases: propagation of an acoustic pulse in an inviscid fluid, convection of an isentropic vortex, ...
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GPU-Accelerated Fundamental Adi-FDTD with Complex Frequency Shifted Convolutional Perfectly Matched Layer
... We further compare the CPU and GPU time of the FADI-FDTD with CFS-CPML, c.f. Table 1. The numerical simulation is performed for 250 iterations at CFLN = 4 in various computation domains. Note that 250 time iterations at ...
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Unconditionally stable perfectly matched layer boundary conditions De Raedt, H.; Michielsen, K.
... Received 5 April 2007, revised 4 June 2007, accepted 4 July 2007 Published online 15 August 2007 PACS 02.60.Cb, 03.50.De, 41.20.Jb A brief review is given of a systematic, product-formula based approach to construct ...
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A higher order perfectly matched layer formulation for finite-difference time-domain seismic wave modeling
... We have developed a higher order perfectly matched layer (PML) formulation to improve the absorption performance for finite-difference time-domain seismic modeling. First, we outlined a new unsplit “ ...
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Research on the Complex Frequency-Shifted Perfectly Matched Layer Algorithm in the Finite Difference Time Domain Method
... 摘要 1966 年，由 K.S.Yee 首次提出了时域有限差分法（ FDTD ）。吸收边界条件 作为 FDTD 方法中的重要组成部分一直备受关注，并不断研究发展。目前，在 所有的吸收边界条件中，完全匹配层（ PML ）的效果最理想、应用最广泛。 PML 的基本原理是，在 FDTD 计算域的截断边界处设置特殊的介质层，该介质层的 波阻抗能完全匹配相邻介质的波阻抗，并且与外[r] ...
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Stability of finite difference numerical simulations of acoustic logging-while-drilling with different perfectly matched layer schemes
... The FDTD implementations include computational domain boundaries that will inevitably bring the reflected energy back into the computational domain, and then contaminate the signal. To avoid the artificial reflection ...
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Perfectly matched layers in negative index metamaterials and plasmas*
... R´ esum´ e. Ce travail porte sur la stabilit´ e des Couches Absorbantes Parfaitement Adapt´ ees (Perfectly Matched Layers, PMLs). La premi` ere partie est un r´ ecapitulatif de r´ esultats ant´ erieurs pour ...
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