A note on linear dispersion and shoaling properties in extended Boussinesq equations

A set of optimum parameter α is obtained to evaluate the linear dispersion and shoaling properties in the extended Boussinesq equations of Madsen and Sørensen (1992), Nwogu (1993), and Chen and Liu (1995). Optimum α values are determined to produce minimal errors in each wave property of phase veloc...

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Published in:Ocean engineering 2003-10, Vol.30 (14), p.1849-1867
Main Authors: Lee, C., Cho, Y.-S., Yoon, S.B.
Format: Article
Language:English
Subjects:
Dynamics of the ocean (upper and deep oceans)
Earth, ocean, space
Exact sciences and technology
Extended Boussinesq equations
External geophysics
Linear dispersion
Marine
Numerical test
Physics of the oceans
Shoaling coefficient
Surface waves, tides and sea level. Seiches
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creator Lee, C.
Cho, Y.-S.
Yoon, S.B.
description A set of optimum parameter α is obtained to evaluate the linear dispersion and shoaling properties in the extended Boussinesq equations of Madsen and Sørensen (1992), Nwogu (1993), and Chen and Liu (1995). Optimum α values are determined to produce minimal errors in each wave property of phase velocity, group velocity, or shoaling coefficient relative to the analytical one given by the Stokes wave theory. Comparisons are made of the percent errors in phase velocity, group velocity, and shoaling coefficient produced by the Boussinesq equations with a different set of optimum α values. The case with a fixed value of α = −0.4 is also presented in the comparison. The comparisons reveal that the optimum α value tuned for a particular wave property gives in general poor results for other properties. Considering all the properties simultaneously, the fixed value of α = −0.4 may give overall accuracies in phase velocity and shoaling coefficient for all the types of Boussinesq equations selected in this study.
doi_str_mv 10.1016/S0029-8018(03)00015-5
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subjects Dynamics of the ocean (upper and deep oceans)
Earth, ocean, space
Exact sciences and technology
Extended Boussinesq equations
External geophysics
Linear dispersion
Marine
Numerical test
Physics of the oceans
Shoaling coefficient
Surface waves, tides and sea level. Seiches
title A note on linear dispersion and shoaling properties in extended Boussinesq equations
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