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An Efficient Unsplit Perfectly Matched Layer for Finite-Element Time-Domain Modeling of Elastodynamics in Cylindrical Coordinates.
- Source :
-
Pure & Applied Geophysics . Sep2020, Vol. 177 Issue 9, p4345-4363. 19p. - Publication Year :
- 2020
-
Abstract
- The truncation of an unbounded medium into a finite domain and the elimination of reflections from artificial medium boundaries is important in numerical simulations of elastodynamic equations. The perfectly matched layer (PML) technique as a novel absorbing boundary has demonstrated very high efficiency for elastic wave equation models. Based on the stretched coordinate concept, an efficient and unsplit-field perfectly matched layer equation for elastic waves is formulated in a cylindrical coordinate system. By introducing integrated complex variables for radial direction and auxiliary functions, the PML formulation is extended in cylindrical coordinates based on the second-order elastic wave equation with displacements as basic unknowns. Finite-element time-domain modeling of the second-order unsplit PML for the elastodynamic equation is presented, which is a standard displacement-based formulation for the computational domain including a PML region. The formulas for the special cases with 2-D axisymmetric coordinates and polar coordinates are also given. The efficiency of the proposed formulations is illustrated by a numerical example using the finite-element method. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00334553
- Volume :
- 177
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Pure & Applied Geophysics
- Publication Type :
- Academic Journal
- Accession number :
- 145733739
- Full Text :
- https://doi.org/10.1007/s00024-020-02460-w