View in EDS

Linear shoaling of free-surface waves in multi-layer non-hydrostatic models.

Saved in:
Bibliographic Details
Title: Linear shoaling of free-surface waves in multi-layer non-hydrostatic models.
Authors: Bai, Yefei1, Cheung, Kwok Fai1 cheung@hawaii.edu
Source: Ocean Modelling. Jan2018, Vol. 121, p90-104. 15p.
Subjects: Wave shoaling, Water depth, Free surfaces, Boussinesq equations, Theory of wave motion
Abstract: The capability to describe shoaling over sloping bottom is fundamental to modeling of coastal wave transformation. The linear shoaling gradient provides a metric to measure this property in non-hydrostatic models with layer-integrated formulations. The governing equations in Boussinesq form facilitate derivation of the linear shoaling gradient, which is in the form of a [ 2 P + 2 , 2 P ] expansion of the water depth parameter kd with P equal to 1 for a one-layer model and ( 4 N − 4 ) for an N -layer model. The expansion reproduces the analytical solution from Airy wave theory at the shallow water limit and maintains a reasonable approximation up to kd = 1.2 and 2 for the one and two-layer models. Additional layers provide rapid and monotonic convergence of the shoaling gradient into deep water. Numerical experiments of wave propagation over a plane slope illustrate manifestation of the shoaling errors through the transformation processes from deep to shallow water. Even though outside the zone of active wave transformation, shoaling errors from deep to intermediate water are cumulative to produce appreciable impact to the wave amplitude in shallow water. [ABSTRACT FROM AUTHOR]
Copyright of Ocean Modelling is the property of Elsevier B.V. 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
FullText Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 126898650
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Linear shoaling of free-surface waves in multi-layer non-hydrostatic models.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Bai%2C+Yefei%22">Bai, Yefei</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Cheung%2C+Kwok+Fai%22">Cheung, Kwok Fai</searchLink><relatesTo>1</relatesTo><i> cheung@hawaii.edu</i>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Ocean+Modelling%22">Ocean Modelling</searchLink>. Jan2018, Vol. 121, p90-104. 15p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Wave+shoaling%22">Wave shoaling</searchLink><br /><searchLink fieldCode="DE" term="%22Water+depth%22">Water depth</searchLink><br /><searchLink fieldCode="DE" term="%22Free+surfaces%22">Free surfaces</searchLink><br /><searchLink fieldCode="DE" term="%22Boussinesq+equations%22">Boussinesq equations</searchLink><br /><searchLink fieldCode="DE" term="%22Theory+of+wave+motion%22">Theory of wave motion</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The capability to describe shoaling over sloping bottom is fundamental to modeling of coastal wave transformation. The linear shoaling gradient provides a metric to measure this property in non-hydrostatic models with layer-integrated formulations. The governing equations in Boussinesq form facilitate derivation of the linear shoaling gradient, which is in the form of a [ 2 P + 2 , 2 P ] expansion of the water depth parameter kd with P equal to 1 for a one-layer model and ( 4 N − 4 ) for an N -layer model. The expansion reproduces the analytical solution from Airy wave theory at the shallow water limit and maintains a reasonable approximation up to kd = 1.2 and 2 for the one and two-layer models. Additional layers provide rapid and monotonic convergence of the shoaling gradient into deep water. Numerical experiments of wave propagation over a plane slope illustrate manifestation of the shoaling errors through the transformation processes from deep to shallow water. Even though outside the zone of active wave transformation, shoaling errors from deep to intermediate water are cumulative to produce appreciable impact to the wave amplitude in shallow water. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Ocean Modelling is the property of Elsevier B.V. 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.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=126898650
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1016/j.ocemod.2017.11.005
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 15
        StartPage: 90
    Subjects:
      – SubjectFull: Wave shoaling
        Type: general
      – SubjectFull: Water depth
        Type: general
      – SubjectFull: Free surfaces
        Type: general
      – SubjectFull: Boussinesq equations
        Type: general
      – SubjectFull: Theory of wave motion
        Type: general
    Titles:
      – TitleFull: Linear shoaling of free-surface waves in multi-layer non-hydrostatic models.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Bai, Yefei
      – PersonEntity:
          Name:
            NameFull: Cheung, Kwok Fai
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Text: Jan2018
              Type: published
              Y: 2018
          Identifiers:
            – Type: issn-print
              Value: 14635003
          Numbering:
            – Type: volume
              Value: 121
          Titles:
            – TitleFull: Ocean Modelling
              Type: main
ResultId 1