CVEM-BEM Coupling for the Simulation of Time-Domain Wave Fields Scattered by Obstacles with Complex Geometries-Reference-Cited by-同舟云学术

CVEM-BEM Coupling for the Simulation of Time-Domain Wave Fields Scattered by Obstacles with Complex Geometries

Published:2023-03-09 Issue:2 Volume:23 Page:353-372
ISSN:1609-4840
Container-title:Computational Methods in Applied Mathematics
language:en
Short-container-title:

Author:

Desiderio Luca¹^ORCID,Falletta Silvia²^ORCID,Ferrari Matteo²^ORCID,Scuderi Letizia²^ORCID

Affiliation:

1. Department of Mathematical, Physical and Computer Sciences , University of Parma , Parma , Italy

2. Department of Mathematical Sciences “G. L. Lagrange” , Polytechnic of Turin , Turin , Italy

Abstract

Abstract In this paper, we present a numerical method based on the coupling between a Curved Virtual Element Method (CVEM) and a Boundary Element Method (BEM) for the simulation of wave fields scattered by obstacles immersed in homogeneous infinite media. In particular, we consider the 2D time-domain damped wave equation, endowed with a Dirichlet condition on the boundary (sound-soft scattering). To reduce the infinite domain to a finite computational one, we introduce an artificial boundary on which we impose a Boundary Integral Non-Reflecting Boundary Condition (BI-NRBC). We apply a CVEM combined with the Crank–Nicolson time integrator in the interior domain, and we discretize the BI-NRBC by a convolution quadrature formula in time and a collocation method in space. We present some numerical results to test the performance of the proposed approach and to highlight its effectiveness, especially when obstacles with complex geometries are considered.

Funder

Ministero dell’Università e della Ricerca

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

https://www.degruyter.com/document/doi/10.1515/cmam-2022-0084/pdf

Reference45 articles.

1. B. Ahmed, A. Alsaedi, F. Brezzi, L. D. Marini and A. Russo, Equivalent projectors for virtual element methods, Comput. Math. Appl. 66 (2013), 376–391.

2. A. Aimi, L. Desiderio and G. Di Credico, Partially pivoted ACA based acceleration of the energetic BEM for time-domain acoustic and elastic waves exterior problems, Comput. Math. Appl. 119 (2022), 351–370.

3. A. Aimi, L. Desiderio, M. Diligenti and C. Guardasoni, A numerical study of energetic BEM-FEM applied to wave propagation in 2D multidomains, Publ. Inst. Math. (Beograd) (N. S.) 96(110) (2014), 5–22.

4. A. Aimi, L. Desiderio, P. Fedeli and A. Frangi, A fast boundary-finite element approach for estimating anchor losses in micro-electro-mechanical system resonators, Appl. Math. Model. 97 (2021), 741–753.

5. P. F. Antonietti, G. Manzini and M. Verani, The conforming virtual element method for polyharmonic problems, Comput. Math. Appl. 79 (2020), no. 7, 2021–2034.

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