A modified and stable version of a perfectly matched layer technique for the 3-d second order wave equation in time domain with an application to aeroacoustics
We consider the second order wave equation in an unbounded domain and propose an advanced perfectly matched layer (PML) technique for its efficient and reliable simulation. In doing so, we concentrate on the time domain case and use the finite-element (FE) method for the space discretization. Our un...
| Publié dans: | Journal of computational physics. - 1986. - 235(2013), 100 vom: 15. Feb., Seite 407-422 |
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| Auteur principal: | |
| Autres auteurs: | , |
| Format: | Article |
| Langue: | English |
| Publié: |
2013
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| Accès à la collection: | Journal of computational physics |
| Sujets: | Journal Article Finite element method Perfectly matched layer Time-domain analysis |
| Résumé: | We consider the second order wave equation in an unbounded domain and propose an advanced perfectly matched layer (PML) technique for its efficient and reliable simulation. In doing so, we concentrate on the time domain case and use the finite-element (FE) method for the space discretization. Our un-split-PML formulation requires four auxiliary variables within the PML region in three space dimensions. For a reduced version (rPML), we present a long time stability proof based on an energy analysis. The numerical case studies and an application example demonstrate the good performance and long time stability of our formulation for treating open domain problems |
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| Description: | Date Revised 21.10.2021 published: Print Citation Status PubMed-not-MEDLINE |
| ISSN: | 0021-9991 |