Numerical Bichromatic Wave Generation Using Designed Mass Source Function

A mass source wave-maker method is generalized as the two-wave-source wave-maker method to generate bichromatic waves in the numerical model, whose governing equations are Navier–Stokes equations with the continuity equation. The Fluent software is taken as the calculation platform. In the numerical...

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Autores principales:	Min-yi Chen, Hong-sheng Zhang, En-xian Zhou, Da-li Xu
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/b390897268164b1bb8671f208439416a
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spelling	oai:doaj.org-article:b390897268164b1bb8671f208439416a2021-11-08T02:35:32ZNumerical Bichromatic Wave Generation Using Designed Mass Source Function2314-478510.1155/2021/8514751https://doaj.org/article/b390897268164b1bb8671f208439416a2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/8514751https://doaj.org/toc/2314-4785A mass source wave-maker method is generalized as the two-wave-source wave-maker method to generate bichromatic waves in the numerical model, whose governing equations are Navier–Stokes equations with the continuity equation. The Fluent software is taken as the calculation platform. In the numerical model, the waves at both the left and right ends of the numerical wave flume are absorbed with the momentum sources added in Navier–Stokes equations. The numerical simulation of bichromatic waves propagation with different frequencies in uniform deep, intermediate, and shallow water has been conducted. The numerical solutions are compared with the theoretical solutions obtained on the basis of Stokes waves theory. The frequency spectrum analyses of the results are conducted and discussed, and the differences between the weakly nonlinear theoretical solutions and the fully nonlinear numerical results are investigated in detail. It is found that the numerical model can effectively simulate the nonlinear effect of bichromatic waves in water with different depths, and the theoretical solutions only adapt the deep and intermediate water. The results indicate that the present numerical model is valuable in the aspect of practical application.Min-yi ChenHong-sheng ZhangEn-xian ZhouDa-li XuHindawi LimitedarticleMathematicsQA1-939ENJournal of Mathematics, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Min-yi Chen Hong-sheng Zhang En-xian Zhou Da-li Xu Numerical Bichromatic Wave Generation Using Designed Mass Source Function
description	A mass source wave-maker method is generalized as the two-wave-source wave-maker method to generate bichromatic waves in the numerical model, whose governing equations are Navier–Stokes equations with the continuity equation. The Fluent software is taken as the calculation platform. In the numerical model, the waves at both the left and right ends of the numerical wave flume are absorbed with the momentum sources added in Navier–Stokes equations. The numerical simulation of bichromatic waves propagation with different frequencies in uniform deep, intermediate, and shallow water has been conducted. The numerical solutions are compared with the theoretical solutions obtained on the basis of Stokes waves theory. The frequency spectrum analyses of the results are conducted and discussed, and the differences between the weakly nonlinear theoretical solutions and the fully nonlinear numerical results are investigated in detail. It is found that the numerical model can effectively simulate the nonlinear effect of bichromatic waves in water with different depths, and the theoretical solutions only adapt the deep and intermediate water. The results indicate that the present numerical model is valuable in the aspect of practical application.
format	article
author	Min-yi Chen Hong-sheng Zhang En-xian Zhou Da-li Xu
author_facet	Min-yi Chen Hong-sheng Zhang En-xian Zhou Da-li Xu
author_sort	Min-yi Chen
title	Numerical Bichromatic Wave Generation Using Designed Mass Source Function
title_short	Numerical Bichromatic Wave Generation Using Designed Mass Source Function
title_full	Numerical Bichromatic Wave Generation Using Designed Mass Source Function
title_fullStr	Numerical Bichromatic Wave Generation Using Designed Mass Source Function
title_full_unstemmed	Numerical Bichromatic Wave Generation Using Designed Mass Source Function
title_sort	numerical bichromatic wave generation using designed mass source function
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/b390897268164b1bb8671f208439416a
work_keys_str_mv	AT minyichen numericalbichromaticwavegenerationusingdesignedmasssourcefunction AT hongshengzhang numericalbichromaticwavegenerationusingdesignedmasssourcefunction AT enxianzhou numericalbichromaticwavegenerationusingdesignedmasssourcefunction AT dalixu numericalbichromaticwavegenerationusingdesignedmasssourcefunction
_version_	1718443219442728960

Numerical Bichromatic Wave Generation Using Designed Mass Source Function

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