Close Search Advanced
Journals
Resources
About Us
Open Access

Perfectly Matched Layer with Mixed Spectral Elements for the Propagation of Linearized Water Waves

Perfectly Matched Layer with Mixed Spectral Elements for the Propagation of Linearized Water Waves
Preview
Add to basket

Year:    2012

Communications in Computational Physics, Vol. 11 (2012), Iss. 2 : pp. 285–302

Abstract

After setting a mixed formulation for the propagation of linearized water waves problem, we define its spectral element approximation. Then, in order to take into account unbounded domains, we construct absorbing perfectly matched layer for the problem. We approximate these perfectly matched layer by mixed spectral elements and show their stability using the "frozen coefficient" technique. Finally, numerical results will prove the efficiency of the perfectly matched layer compared to classical absorbing boundary conditions. 

Submit Article

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.201109.261110s

Communications in Computational Physics, Vol. 11 (2012), Iss. 2 : pp. 285–302

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:   

  1. Simulation and analysis of the optical performance of silicon nanowire arrays

    Wang, Shanshan | Zhang, Yan | Zhu, Liping

    Journal of Physics: Conference Series, Vol. 2652 (2023), Iss. 1 P.012001

    https://doi.org/10.1088/1742-6596/2652/1/012001 [Citations: 1]

  2. Upwind finite element-PML approximation of a novel linear potential model for free surface flows produced by a floating rigid body

    Bermúdez, A. | Crego, O. | Prieto, A.

    Applied Mathematical Modelling, Vol. 103 (2022), Iss. P.824

    https://doi.org/10.1016/j.apm.2021.11.004 [Citations: 2]
  3. Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations

    Some Complex Models

    Cohen, Gary | Pernet, Sébastien

    2017

    https://doi.org/10.1007/978-94-017-7761-2_8 [Citations: 0]

  4. Fully coupled linear modelling of incompressible free‐surface flow, compressible air and flexible structures

    Toth, F. | Kaltenbacher, M.

    International Journal for Numerical Methods in Engineering, Vol. 107 (2016), Iss. 11 P.947

    https://doi.org/10.1002/nme.5194 [Citations: 8]
  5. Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations

    Approximating Unbounded Domains

    Cohen, Gary | Pernet, Sébastien

    2017

    https://doi.org/10.1007/978-94-017-7761-2_6 [Citations: 0]