Realistic velocity profiles for wind-driven coastal currents

An accurate prediction of coastal current speed profile and direction has been a subject of interest. Witten and Thomas (1975) made a study based on a model with zero surface slope and a no-slip bottom condition. Murray and Young (1984) added surface slopes caused by wind stresses to this model. How...

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Published inMathematical modelling Vol. 8; pp. 443 - 445
Main Authors Young, Myron H., Murray, Stephen P.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 1987
Subjects
coastal currents
Current profiles
wind-driven currents
coastal currents
Current profiles
wind-driven currents
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Abstract An accurate prediction of coastal current speed profile and direction has been a subject of interest. Witten and Thomas (1975) made a study based on a model with zero surface slope and a no-slip bottom condition. Murray and Young (1984) added surface slopes caused by wind stresses to this model. However, the no-slip condition does not necessarily agree with the real world. This paper proposes a model with a quadrtic bottom slip boundary condition according to Charnock (1959). The solution to the inhomogenous modified Bessel equation can no longer be solved explicitly. Two loops of iteration are required to obtain the solution. The outer loop iterates the surface slopes and the inner loop iterates the arbitrary constants, until the onshore current components are conserved. The results compare favorably to the constant eddy viscosity theory results and actual measurements.
AbstractList An accurate prediction of coastal current speed profile and direction has been a subject of interest. Witten and Thomas (1975) made a study based on a model with zero surface slope and a no-slip bottom condition. Murray and Young (1984) added surface slopes caused by wind stresses to this model. However, the no-slip condition does not necessarily agree with the real world. This paper proposes a model with a quadrtic bottom slip boundary condition according to Charnock (1959). The solution to the inhomogenous modified Bessel equation can no longer be solved explicitly. Two loops of iteration are required to obtain the solution. The outer loop iterates the surface slopes and the inner loop iterates the arbitrary constants, until the onshore current components are conserved. The results compare favorably to the constant eddy viscosity theory results and actual measurements.
Author Murray, Stephen P.
Young, Myron H.
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Cites_doi 10.1175/1520-0485(1975)005<0347:TASOWD>2.0.CO;2
10.1111/j.1365-246X.1959.tb05794.x
10.1175/1520-0485(1976)006<0085:SWDCIA>2.0.CO;2
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Keywords coastal currents
Current profiles
wind-driven currents
Language English
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References Charnock (BIB1) 1959; 2
Witten, Thomas (BIB6) 1976
Murray (BIB2) 1975; 4
Saylor (BIB4) 1966; 1
Wiegel (BIB5) 1964
Murray, Young (BIB3) 1984
Murray (10.1016/0270-0255(87)90620-8_BIB3) 1984
Wiegel (10.1016/0270-0255(87)90620-8_BIB5) 1964
Charnock (10.1016/0270-0255(87)90620-8_BIB1) 1959; 2
Murray (10.1016/0270-0255(87)90620-8_BIB2) 1975; 4
Witten (10.1016/0270-0255(87)90620-8_BIB6) 1976
Saylor (10.1016/0270-0255(87)90620-8_BIB4) 1966; 1
References_xml – year: 1984
  ident: BIB3
  article-title: Some Techniques to Calculate Design Currents in Shelf and Stratified Coastal Waters
  publication-title: Proceedings of the 19th ICCE
– volume: 2
  start-page: 215
  year: 1959
  end-page: 221
  ident: BIB1
  article-title: Tidal Friction from Currents Near the Seabed
  publication-title: Geophys. J.
– start-page: 532
  year: 1964
  ident: BIB5
  publication-title: Oceanographical Engineering
– start-page: 85
  year: 1976
  end-page: 92
  ident: BIB6
  article-title: Steady Wind Driven Currents in a Large Lake with a Depth Dependent Eddy Viscosity
  publication-title: Journal of Physical Oceanography
– volume: 4
  start-page: 347
  year: 1975
  end-page: 360
  ident: BIB2
  article-title: Trajectories and Speeds of Wind-Driven Current Near the Coast
  publication-title: Journal of Physical Oceanography
– volume: 1
  start-page: 19
  year: 1966
  ident: BIB4
  article-title: Currents at Little Lake Harbor
  publication-title: U. S. Lake Survey Research Report
– volume: 4
  start-page: 347
  year: 1975
  ident: 10.1016/0270-0255(87)90620-8_BIB2
  article-title: Trajectories and Speeds of Wind-Driven Current Near the Coast
  publication-title: Journal of Physical Oceanography
  doi: 10.1175/1520-0485(1975)005<0347:TASOWD>2.0.CO;2
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  start-page: 19
  year: 1966
  ident: 10.1016/0270-0255(87)90620-8_BIB4
  article-title: Currents at Little Lake Harbor
– volume: 2
  start-page: 215
  year: 1959
  ident: 10.1016/0270-0255(87)90620-8_BIB1
  article-title: Tidal Friction from Currents Near the Seabed
  publication-title: Geophys. J.
  doi: 10.1111/j.1365-246X.1959.tb05794.x
– year: 1984
  ident: 10.1016/0270-0255(87)90620-8_BIB3
  article-title: Some Techniques to Calculate Design Currents in Shelf and Stratified Coastal Waters
  publication-title: Proceedings of the 19th ICCE
– start-page: 532
  year: 1964
  ident: 10.1016/0270-0255(87)90620-8_BIB5
– start-page: 85
  year: 1976
  ident: 10.1016/0270-0255(87)90620-8_BIB6
  article-title: Steady Wind Driven Currents in a Large Lake with a Depth Dependent Eddy Viscosity
  publication-title: Journal of Physical Oceanography
  doi: 10.1175/1520-0485(1976)006<0085:SWDCIA>2.0.CO;2
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Snippet An accurate prediction of coastal current speed profile and direction has been a subject of interest. Witten and Thomas (1975) made a study based on a model...
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StartPage 443
SubjectTerms coastal currents
Current profiles
wind-driven currents
Title Realistic velocity profiles for wind-driven coastal currents
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