Hybrid Numerical-Analytical Scheme for Calculating Elastic Wave Diffraction in Locally Inhomogeneous Waveguides.
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| Title: | Hybrid Numerical-Analytical Scheme for Calculating Elastic Wave Diffraction in Locally Inhomogeneous Waveguides. |
|---|---|
| Authors: | Glushkov, E. V.1 evg@math.kubsu.ru, Glushkova, N. V.1, Evdokimov, A. A.1 |
| Source: | Acoustical Physics. Jan2018, Vol. 64 Issue 1, p1-9. 9p. |
| Subjects: | Elastic wave diffraction, Traveling waves (Physics), Theory of wave motion, Computer simulation, Finite element method software, Waveguides |
| Abstract: | Numerical simulation of traveling wave excitation, propagation, and diffraction in structures with local inhomogeneities (obstacles) is computationally expensive due to the need for mesh-based approximation of extended domains with the rigorous account for the radiation conditions at infinity. Therefore, hybrid numerical-analytic approaches are being developed based on the conjugation of a numerical solution in a local vicinity of the obstacle and/or source with an explicit analytic representation in the remaining semiinfinite external domain. However, in standard finite-element software, such a coupling with the external field, moreover, in the case of multimode expansion, is generally not provided. This work proposes a hybrid computational scheme that allows realization of such a conjugation using a standard software. The latter is used to construct a set of numerical solutions used as the basis for the sought solution in the local internal domain. The unknown expansion coefficients on this basis and on normal modes in the semi-infinite external domain are then determined from the conditions of displacement and stress continuity at the boundary between the two domains. We describe the implementation of this approach in the scalar and vector cases. To evaluate the reliability of the results and the efficiency of the algorithm, we compare it with a semianalytic solution to the problem of traveling wave diffraction by a horizontal obstacle, as well as with a finite-element solution obtained for a limited domain artificially restricted using absorbing boundaries. As an example, we consider the incidence of a fundamental antisymmetric Lamb wave onto surface and partially submerged elastic obstacles. It is noted that the proposed hybrid scheme can also be used to determine the eigenfrequencies and eigenforms of resonance scattering, as well as the characteristics of traveling waves in embedded waveguides. [ABSTRACT FROM AUTHOR] |
| Copyright of Acoustical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Items | – Name: Title Label: Title Group: Ti Data: Hybrid Numerical-Analytical Scheme for Calculating Elastic Wave Diffraction in Locally Inhomogeneous Waveguides. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Glushkov%2C+E%2E+V%2E%22">Glushkov, E. V.</searchLink><relatesTo>1</relatesTo><i> evg@math.kubsu.ru</i><br /><searchLink fieldCode="AR" term="%22Glushkova%2C+N%2E+V%2E%22">Glushkova, N. V.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Evdokimov%2C+A%2E+A%2E%22">Evdokimov, A. A.</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Acoustical+Physics%22">Acoustical Physics</searchLink>. Jan2018, Vol. 64 Issue 1, p1-9. 9p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Elastic+wave+diffraction%22">Elastic wave diffraction</searchLink><br /><searchLink fieldCode="DE" term="%22Traveling+waves+%28Physics%29%22">Traveling waves (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Theory+of+wave+motion%22">Theory of wave motion</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method+software%22">Finite element method software</searchLink><br /><searchLink fieldCode="DE" term="%22Waveguides%22">Waveguides</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Numerical simulation of traveling wave excitation, propagation, and diffraction in structures with local inhomogeneities (obstacles) is computationally expensive due to the need for mesh-based approximation of extended domains with the rigorous account for the radiation conditions at infinity. Therefore, hybrid numerical-analytic approaches are being developed based on the conjugation of a numerical solution in a local vicinity of the obstacle and/or source with an explicit analytic representation in the remaining semiinfinite external domain. However, in standard finite-element software, such a coupling with the external field, moreover, in the case of multimode expansion, is generally not provided. This work proposes a hybrid computational scheme that allows realization of such a conjugation using a standard software. The latter is used to construct a set of numerical solutions used as the basis for the sought solution in the local internal domain. The unknown expansion coefficients on this basis and on normal modes in the semi-infinite external domain are then determined from the conditions of displacement and stress continuity at the boundary between the two domains. We describe the implementation of this approach in the scalar and vector cases. To evaluate the reliability of the results and the efficiency of the algorithm, we compare it with a semianalytic solution to the problem of traveling wave diffraction by a horizontal obstacle, as well as with a finite-element solution obtained for a limited domain artificially restricted using absorbing boundaries. As an example, we consider the incidence of a fundamental antisymmetric Lamb wave onto surface and partially submerged elastic obstacles. It is noted that the proposed hybrid scheme can also be used to determine the eigenfrequencies and eigenforms of resonance scattering, as well as the characteristics of traveling waves in embedded waveguides. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Acoustical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1134/S1063771018010086 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 9 StartPage: 1 Subjects: – SubjectFull: Elastic wave diffraction Type: general – SubjectFull: Traveling waves (Physics) Type: general – SubjectFull: Theory of wave motion Type: general – SubjectFull: Computer simulation Type: general – SubjectFull: Finite element method software Type: general – SubjectFull: Waveguides Type: general Titles: – TitleFull: Hybrid Numerical-Analytical Scheme for Calculating Elastic Wave Diffraction in Locally Inhomogeneous Waveguides. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Glushkov, E. V. – PersonEntity: Name: NameFull: Glushkova, N. V. – PersonEntity: Name: NameFull: Evdokimov, A. A. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: Jan2018 Type: published Y: 2018 Identifiers: – Type: issn-print Value: 10637710 Numbering: – Type: volume Value: 64 – Type: issue Value: 1 Titles: – TitleFull: Acoustical Physics Type: main |
| ResultId | 1 |
