TY - JOUR
T1 - Local absorbing boundary conditions for the elastic wave equation
AU - Turkel, E.
AU - Gordon, R.
AU - Gordon, D.
N1 - Publisher Copyright:
© 2022 Elsevier B.V.
PY - 2023/4
Y1 - 2023/4
N2 - We compare and analyze absorbing boundary conditions for the elastic wave equations. We concentrate on the first order extensions to Clayton–Engquist and show the relationship of the Lysmer–Kuhlemeyer ABC to these generalizations. We derive conditions for the reflection coefficient to have the same accuracy for near normal waves as in the acoustic wave case. Extensions to the first order system, spherical coordinates, higher order boundary conditions and frequency domain are derived. We extend Stacey's absorbing boundary condition (ABC) to all six sides of a cubic domain, and show that Stacey's ABC provide good numerical results.
AB - We compare and analyze absorbing boundary conditions for the elastic wave equations. We concentrate on the first order extensions to Clayton–Engquist and show the relationship of the Lysmer–Kuhlemeyer ABC to these generalizations. We derive conditions for the reflection coefficient to have the same accuracy for near normal waves as in the acoustic wave case. Extensions to the first order system, spherical coordinates, higher order boundary conditions and frequency domain are derived. We extend Stacey's absorbing boundary condition (ABC) to all six sides of a cubic domain, and show that Stacey's ABC provide good numerical results.
KW - Elastic wave equation
KW - Local absorbing boundary conditions
KW - Lysmer–Kuhlemeyer
KW - Stacey's boundary conditions
UR - http://www.scopus.com/inward/record.url?scp=85146424209&partnerID=8YFLogxK
U2 - 10.1016/j.wavemoti.2022.103109
DO - 10.1016/j.wavemoti.2022.103109
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AN - SCOPUS:85146424209
SN - 0165-2125
VL - 118
JO - Wave Motion
JF - Wave Motion
M1 - 103109
ER -