年間 6 号発行
ISSN 印刷: 1543-1649
ISSN オンライン: 1940-4352
Indexed in
Analysis of Multi-Transmitting Formula for Absorbing Boundary Conditions
要約
In this paper, we analyze the multi-transmitting formula (MTF) proposed by Liao andWong (1984). From the computed reflection coefficients for the fully discrete MTF boundary conditions, we suggest choices for the artificial wave propagation speed which are different from Liao’s original choice. Theoretical and numerical studies for various incidence angles demonstrate that the suggested choices effectively reduce spurious reflections.
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Berenger, J. P., A perfectly matched layer for the absorption of electromagnetic waves. DOI: 10.1006/jcph.1994.1159
-
Cai, W., de Koning, M., Bulatov, V. V., and Yip, S., Minimizing boundary reflections in coupled-domain simulations. DOI: 10.1103/PhysRevLett.85.3213
-
Clayton, R. and Engquist, B., Absorbing boundary conditions for acoustic and elastic wave equations.
-
Dreher, M. and Tang, S., Time history interfacial conditions in multiscale computations of Lattice oscillations. DOI: 10.1007/s00466-007-0224-4
-
Engquist, B. and Majda, A., Absorbing boundary conditions for the numerical simulation of waves. DOI: 10.1090/S0025-5718-1977-0436612-4
-
Engquist, B. and Majda, A., Radiation boundary conditions for acoustic and elastic calculations. DOI: 10.1002/cpa.3160320303
-
Givoli, D., Non-reflecting boundary conditions: A review. DOI: 10.1016/j.wavemoti.2003.12.004
-
Givoli, D., Numerical Methods for Problems in Infinite Domains.
-
Givoli, D. and Keller, J. B., Non-reflecting boundary conditions for elastic waves. DOI: 10.1016/0165-2125(90)90043-4
-
Hagstrom, T., Radiation boundary conditions for the numerical simulation of waves. DOI: 10.1017/S0962492900002890
-
Hagstrom, T., Mar-Or, A., and Givoli, D., High-order local non-reflecting boundary conditions for the wave equation: Extensions and improvements. DOI: 10.1016/j.jcp.2007.11.040
-
Higdon, R. L., Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation. DOI: 10.2307/2008166
-
Higdon, R. L., Absorbing boundary conditions for the wave equation.
-
Higdon, R. L., Boundary conditions for elastic wave propagation. DOI: 10.1137/0727049
-
Keys, R. G., Absorbing boundary conditions for acoustic media. DOI: 10.1190/1.1441969
-
Keller, J. B. and Givoli, D., Exact non-reflecting boundary conditions. DOI: 10.1016/0021-9991(89)90041-7
-
Komornik, V., Rapid boundary stabilization of the wave equation. DOI: 10.1137/0329011
-
Liao, Z. P., Extrapolation non-reflecting boundary conditions. DOI: 10.1016/0165-2125(96)00010-8
-
Liao, Z. P., Introduction to Wave Motion Theories in Engineering (2nd ed).
-
Liao, Z. P. and Wong, H. L., A transmitting boundary for the numerical simulation of elastic wave propagation. DOI: 10.1016/0261-7277(84)90033-0
-
Liao, Z. P., Wong, H. L., Yang, B. P., and Yuan, Y. F., A transmitting boundary for transient wave analysis.
-
Liu, W. K., Karpov, E. G., and Park, H. S., Nano-Mechanics and Materials: Theory.
-
Moore, T. G., Blaschak, J. G., Taflove, A., and Kreigsmann, G. A., Theory and application of radiation boundary operators. DOI: 10.1109/8.14402
-
Qian, D., Wagner, G. J., and Liu, W. K., A multiscale projection method for the analysis of carbon nanotubes. DOI: 10.1016/j.cma.2003.12.016
-
Reynolds, A. C., Boundary conditions for the numerical solution of wave propagation problems. DOI: 10.1190/1.1440881
-
Taflove, A. and Hagness, S. C., Computational Electrodynamics: The Finite-Difference Time-Domain Method (2nd ed).
-
Tang, S., A Finite difference approach with velocity interfacial conditions for multiscale computations of crystalline solids. DOI: 10.1016/j.jcp.2007.12.012
-
Trefethen, L. N., Group velocity in finite difference schemes. DOI: 10.1137/1024038
-
Trefethen, L. N. and Halpern, L., Well-posedness of one-way wave equations and absorbing boundary conditions. DOI: 10.2307/2008165
-
Tsynkov, S. V., Numerical solution of problems on unbounded domains:A review. DOI: 10.1016/S0168-9274(98)00025-7
-
Tsynkov, S. V., Turkel, E., and Abarbanel, S., External flow computations using global boundary conditions. DOI: 10.2514/3.13130
-
Yang, D., Wang, S., Zhang, Z., and Teng, J., n-Times absorbing boundary conditions for compact finite-difference modeling of acoustic and elastic wave propagation in the 2D TI medium. DOI: 10.1785/0120020224
-
Ren Zhiming, Liu Yang, A hybrid absorbing boundary condition for frequency-domain finite-difference modelling, Journal of Geophysics and Engineering, 10, 5, 2013. Crossref
-
TANG Jie, Study on SEM Numerical Simulation of Airgun Signal Propagation, Chinese Journal of Geophysics, 55, 1, 2012. Crossref
-
Gao Yingjie, Song Hanjie, Zhang Jinhai, Yao Zhenxing, Comparison of artificial absorbing boundaries for acoustic wave equation modelling, Exploration Geophysics, 48, 1, 2017. Crossref
-
Su Jie, Zhou Zhenghua, Li Yuandong, Hao Bing, Dong Qing, Li Xiaojun, Khitab Anwar, A stable implementation measure of multi-transmitting formula in the numerical simulation of wave motion, PLOS ONE, 15, 12, 2020. Crossref