Importance of double-pole CFS-PML for broadband seismic wave simulation and optimal parameters selection

Feng, Haike; Zhang, Wei; Zhang, Jie; Chen, Xiaofei

doi:10.1093/gji/ggx070

Cited by 7 publications

(7 citation statements)

References 48 publications

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“…It is, however, important to stress as well the fact that significant further research effort is required in order to arrive at efficient optimisation guidelines in order for the MPML to be useful for practical everyday FDTD modelling problems without having to iteratively optimise its parameters which is time consuming and requires relevant PML expertise by the user. For example, an approach similar to [17], recently reported for optimising 2nd order PMLs, could be a potential starting point for such research effort.…”

Section: Discussionmentioning

confidence: 99%

“…which it seems that it is a better fit to the initial intention and design idea for combining different PML stretching functions. Although the higher order PML can be optimised to perform well [13] [16], and it has been demonstrated that can outperform same thickness simpler CFS-PMLs, the process of its optimisation is not as straightforward [17]. For example, an important constrain in selecting appropriate range of values for a 2nd order PML results from examining the real part of (3) that is easily obtained as…”

Section: Theorymentioning

confidence: 99%

“…Examining (16) and (17), in the PML region, they can be interpreted as the normal Maxwell's equations with added electric and magnetic field dependent currents as follows…”

Section: Formulation Of the Mpmlmentioning

confidence: 99%

“…The underlying design idea for a higher order PML was that the combination will allow to reap the benefits of each term in the product. However, it is clear from a simple inspection that one will have to contemplate and deal with added terms resulting from multiplying together these stretching functions and as a result optimisation is not as straightforward [17]. In addition, careful consideration is required in examining new higher order stretching functions to ensure stability of the PML application [16].…”

Section: Introductionmentioning

confidence: 99%

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Multipole Perfectly Matched Layer for Finite-Difference Time-Domain Electromagnetic Modeling

Giannopoulos

2018

IEEE Trans. Antennas Propagat.

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A new multipole perfectly matched layer (PML) formulation is presented. Based on the stretched-coordinate approach the formulation, that utilises a recursive integration concept in its development, introduces a PML stretching function that is created as the sum of any given number of complexfrequency shifted (CFS) constituent poles. Complete formulae for up to a 3-pole formulation, to facilitate its implementation in finite-difference time-domain (FDTD) codes, are developed. The performance of this new multipole formulation compares favourably with existing higher order PMLs that instead utilise stretching functions that are developed as the product of elementary CFS constituent poles. It is argued that the optimisation of the new multipole PML could be more straightforward when compared to that of a higher order PML due to the absence of extra terms generated by the process of multiplication used in the development of the overall PML stretching function in higher order PMLs. The new multipole PML is found to perform very well when compared to standard CFS-PMLs requiring equivalent computational resources.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Theorymentioning

confidence: 99%

“…Examining (16) and (17), in the PML region, they can be interpreted as the normal Maxwell's equations with added electric and magnetic field dependent currents as follows…”

Section: Formulation Of the Mpmlmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Multipole Perfectly Matched Layer for Finite-Difference Time-Domain Electromagnetic Modeling

Giannopoulos

2018

IEEE Trans. Antennas Propagat.

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“…15 The unsplit-field implementations with four auxiliary variables are proposed based on the auxiliary differential equation method, the digital signal processing techniques and so on. [17][18][19][20] Since then, higher order PMLs have been extensively researched.…”

Section: Introductionmentioning

confidence: 99%

Performance enhanced absorbing boundary condition for electromagnetic modelling and simulation

Sun

Chi

et al. 2020

Int J Numerical Modelling

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Based upon the higher order (HO) concept and the convolution perfectly matched layer (CPML) formulation, the efficient and tight HO-CPML implementation is proposed for electromagnetic (EM) simulation. The proposed formulation has the advantages of the higher order concept and the CPML in terms of enhancing absorbing performance and improving computational efficiency. Numerical examples including the half-space soil/metal plate structure and the patch antenna radiation model are carried out in the finite-difference time-domain lattice to validate the effectiveness and efficiency. It can be demonstrated that the proposed HO-CPML can further enhance the absorbing performance compared with the CPML and enjoy considerable computational efficiency compared with the other HO-perfectly matched layers (HO-PMLs). Meanwhile, the proposal can terminate arbitrary mediums without changing the update equations in the PML regions.

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Implicit approximate decoupling procedure withCrank–Nicolsonscheme for bandpass symmetric rotationally geophysical problems

Dong

Liu

et al. 2021

Int J RF Mic Comp-Aid Eng

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To efficient simulate symmetric rotationally geophysical problems, implicit Crank–Nicolson (CN) scheme incorporated with approximate decoupling procedure is proposed in the body of revolution (BOR) finite‐difference time‐domain (FDTD) algorithm. For further absorption of large number of low‐frequency waves in bandpass simulation, complex envelope method is incorporated with the perfectly matched layer implementation. To be more specific, the proposed implementation shows advantages in terms of improved efficiency, considerable accuracy, and remarkable absorption. To demonstrate effectiveness and efficiency of the proposed implementation, geophysical numerical examples are carried out in the BOR‐FDTD domain. Through different numerical examples, it can be concluded from simulation results that the proposed implementation can obtain admirable entire performance in bandpass geophysical simulation. In addition, it can also be illustrated that it can keep stable when time step surpasses far beyond the Courant–Friedrichs‐ Levy condition.

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Importance of double-pole CFS-PML for broadband seismic wave simulation and optimal parameters selection

Cited by 7 publications

References 48 publications

Multipole Perfectly Matched Layer for Finite-Difference Time-Domain Electromagnetic Modeling

Multipole Perfectly Matched Layer for Finite-Difference Time-Domain Electromagnetic Modeling

Performance enhanced absorbing boundary condition for electromagnetic modelling and simulation

Implicit approximate decoupling procedure withCrank–Nicolsonscheme for bandpass symmetric rotationally geophysical problems

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