Absorbing boundary conditions for scalar waves in anisotropic media. Part 1: Time harmonic modeling

Savadatti, Siddharth; Guddati, Murthy N.

doi:10.1016/j.jcp.2010.05.018

Cited by 26 publications

(46 citation statements)

References 42 publications

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“…This idea has been already suggested by Savadatti and Guddati who published four interesting articles [14][15][16][17] about revisited ABC involving arguments that are usually claimed for PMLs analysis. In particular, they provide a characterization of different types of anisotropy by involving slowness curves.…”

Section: Slowness Curvesmentioning

confidence: 87%

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Absorbing Boundary Conditions for 2D Tilted Transverse Isotropic elastic media

Barucq

Boillot

Calandra³

et al. 2014

ESAIM: ProcS

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Abstract. This work deals with the construction of a low-order absorbing boundary condition (ABC) for 2D elliptic TTI media, preserving the system stability. The construction is based on comparing and then connecting the slowness curves for isotropic and elliptic TTI waves. Numerical experiments illustrate the performance of the new ABC. They are performed by integrating the ABC in a DG formulation of Elastodynamics. When applied in a TTI medium, the new ABC performs well with the same level of accuracy than the standard isotropic ABC set in an isotropic medium. The condition demonstrates also a good robustness when applied for large times of simulation.Résumé. Ce travail porte sur la construction d'une condition aux limites absorbante (CLA) pour les milieux TTI elliptiques, préservant la stabilité du système. La mise en oeuvre repose sur la comparaison puis la mise en relation des courbes de lenteurs pour les ondes isotropes et TTI elliptiques. Des expériences numériques illustrent la performance de ces nouvelles CLA. Elles sont réalisées en intégrant la CLA dans une formulation de type Galerkin discontinue pour l'Élastodynamique. Pour un milieu TTI, la nouvelle CLA est efficace avec le même niveau de précision que la CLA isotrope standard pour un milieu isotrope. On observe aussi que la condition est robuste en temps long.

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Section: Slowness Curvesmentioning

confidence: 87%

“…We can then plug (12) and (13) into (15) and identify the coefficients of the resulting system with the ones of (14). In this elliptic TTI case, with V s = 0, the C tensor coefficients are easily computable.…”

Section: An Elliptic Tti Abcmentioning

confidence: 99%

Absorbing Boundary Conditions for 2D Tilted Transverse Isotropic elastic media

Barucq

Boillot

Calandra³

et al. 2014

ESAIM: ProcS

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“…ABCs can thus be viewed as additional constraints on the physical IBVP that limit (or expand) the space of exist-0021-9991/$ -see front matter Ó 2010 Elsevier Inc. All rights reserved. doi:10.1016/j.jcp.2010.05.017 harmonic case in [40]. In essence, we prove that the parameters of PMDL (its layer lengths), need to satisfy a simple bound to exclude all ill-posed (and none of the well-posed) IBVPs resulting from the use of PMDL BCs while accurately modeling an unbounded domain governed by the scalar anisotropic wave equation.…”

Section: Introductionmentioning

confidence: 86%

Absorbing boundary conditions for scalar waves in anisotropic media. Part 2: Time-dependent modeling

Savadatti

Guddati

2010

Journal of Computational Physics

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“…OWWEs, high-order local absorbing boundary conditions, CFABCs, have been developed [15][16][17][18][19][20]. Following is an overview of the derivation of the OWWE and CFABC.…”

Section: Continued-fraction Absorbing Boundary Condition In Elastic Mmentioning

confidence: 99%

“…Guddati [14] developed arbitrary wide-angle wave equations (AWWEs) applicable for general heterogeneous, anisotropic, porous, viscoelastic media and showed that the AWWEs are equivalent to the continued fraction approximation. The CFABCs have been applied successfully to problems of scalar wave propagation [15], dispersive acoustic wave propagation [16], elastic wave propagation [17], statics [18], and wave propagation in anisotropic media [19,20]. It has been shown that the CFABCs are arbitrarily high-order local absorbing boundary conditions that are effective in modeling wave propagation in various unbounded domains.…”

Section: Introductionmentioning

confidence: 99%