Analytical aspects of an artificial damping layer for the wave equation

J.E. Romate

    Research output: Book/ReportReportOther research output

    Abstract

    The use of damping layers is one way of absorbing water waves travelling on the free surface. In the mathematical formulation these layers are introduced by adding certain lower-order terms in the free surface equations. In this paper some analytical aspects of such an artificial damping layer are studied by considering the addition of comparable lower-order terms in the one-dimensional wave equation. The wave equation is closely connected with the formulation of a linear free-surface model describing gravity waves travelling over a potential flow. It is shown that the addition of such lower-order terms does not harm the well-posedness of a given Cauchy problem. Furthermore, reflection properties of the absorbing layer are presented and analytical solutions are given for layers in which the damping coefficient has simple lower order polynomial behaviour. It is shown that the form of the damping coefficient can affect the reflection properties considerably.
    Original languageEnglish
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Number of pages19
    Publication statusPublished - 1998

    Publication series

    NameMemorandum
    PublisherUniversity of Twente, Faculty of Mathematical Sciences
    No.1454
    ISSN (Print)0169-2690

    Keywords

    • MSC-35L05
    • EWI-3274
    • MSC-76B15
    • MSC-65M99

    Fingerprint Dive into the research topics of 'Analytical aspects of an artificial damping layer for the wave equation'. Together they form a unique fingerprint.

    Cite this