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Analytical solutions to two- and three-dimensional periodic flows for numerical model testing

Ngoc Vinh, Phan and Larson, Magnus LU (2010) In International Journal for Numerical Methods in Biomedical Engineering 26(2). p.190-204
Abstract
Analytical solutions to 2D depth-averaged (external mode) and fully 3D (internal mode) periodic flows for numerical model testing are presented in this paper. These solutions take into account the effects of the bottom friction, the horizontal turbulent viscosity, and the vertical turbulent viscosity for the case of 3D flow. The key linkage for the modes is the relationship between the bottom friction coefficients in the 2D and 3D solutions. In the analytical solutions, two parameters are introduced concerning the periodic flows studied, namely, the rate of the horizontal turbulent viscosity and a dimensionless number given by the ratio of this rate to the wave celerity. The effects of the horizontal turbulent viscosity on the wave... (More)
Analytical solutions to 2D depth-averaged (external mode) and fully 3D (internal mode) periodic flows for numerical model testing are presented in this paper. These solutions take into account the effects of the bottom friction, the horizontal turbulent viscosity, and the vertical turbulent viscosity for the case of 3D flow. The key linkage for the modes is the relationship between the bottom friction coefficients in the 2D and 3D solutions. In the analytical solutions, two parameters are introduced concerning the periodic flows studied, namely, the rate of the horizontal turbulent viscosity and a dimensionless number given by the ratio of this rate to the wave celerity. The effects of the horizontal turbulent viscosity on the wave amplitude and the phase are significant if the square of this number is not much smaller than one. Three cases for numerical model testing are developed according to three different chosen values of the complex wave number. Various results illustrating the solutions to these test cases are also presented. Copyright (C) 2008 John Wiley & Sons. Ltd. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
horizontal turbulent viscosity, periodic flow, bottom friction, 3D flow, analytical solution, 2D flow, vertical turbulent viscosity, numerical, model testing
in
International Journal for Numerical Methods in Biomedical Engineering
volume
26
issue
2
pages
190 - 204
publisher
John Wiley & Sons
external identifiers
  • wos:000276897500004
  • scopus:77953099512
ISSN
2040-7947
DOI
10.1002/cnm.1136
project
MERGE
language
English
LU publication?
yes
id
8890cfa2-2d1d-4a94-86dc-28e7a155c093 (old id 1601801)
date added to LUP
2010-05-20 09:42:18
date last changed
2018-05-29 09:25:58
@article{8890cfa2-2d1d-4a94-86dc-28e7a155c093,
  abstract     = {Analytical solutions to 2D depth-averaged (external mode) and fully 3D (internal mode) periodic flows for numerical model testing are presented in this paper. These solutions take into account the effects of the bottom friction, the horizontal turbulent viscosity, and the vertical turbulent viscosity for the case of 3D flow. The key linkage for the modes is the relationship between the bottom friction coefficients in the 2D and 3D solutions. In the analytical solutions, two parameters are introduced concerning the periodic flows studied, namely, the rate of the horizontal turbulent viscosity and a dimensionless number given by the ratio of this rate to the wave celerity. The effects of the horizontal turbulent viscosity on the wave amplitude and the phase are significant if the square of this number is not much smaller than one. Three cases for numerical model testing are developed according to three different chosen values of the complex wave number. Various results illustrating the solutions to these test cases are also presented. Copyright (C) 2008 John Wiley & Sons. Ltd.},
  author       = {Ngoc Vinh, Phan and Larson, Magnus},
  issn         = {2040-7947},
  keyword      = {horizontal turbulent viscosity,periodic flow,bottom friction,3D flow,analytical solution,2D flow,vertical turbulent viscosity,numerical,model testing},
  language     = {eng},
  number       = {2},
  pages        = {190--204},
  publisher    = {John Wiley & Sons},
  series       = {International Journal for Numerical Methods in Biomedical Engineering},
  title        = {Analytical solutions to two- and three-dimensional periodic flows for numerical model testing},
  url          = {http://dx.doi.org/10.1002/cnm.1136},
  volume       = {26},
  year         = {2010},
}