Spectral collocation model for solitary wave attenuation and mass transport over viscous mud / Huang, Lingyan in Journal of engineering mechanics, Vol. 135 N° 8 (Août 2009)  

Public ISBD [article]  inJournal of engineering mechanics > Vol. 135 N° 8 (Août 2009) . - pp. 881-891 Titre : Spectral collocation model for solitary wave attenuation and mass transport over viscous mud Type de document : texte imprimé Auteurs : Huang, Lingyan, Auteur ; Qin Chen, Auteur Article en page(s) : pp. 881-891 Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Wave attenuation Mud Solitary waves Spectral analysis Numerical Lagrangian functions Mass transport. Résumé : In this paper, wave attenuation and mass transport of a water-mud system due to a solitary wave on the free surface is modeled by using the Chebyshev-Chebyshev collocation spectral method for spatial discretization and a fourth-order multistage scheme for time integration. The governing equations are formulated in Lagrangian coordinates and perturbation equations for shallow water waves are derived. An iteration-by-subdomain technique is introduced to tackle the interface in the two-layer system. The numerical model is tested against available analytical solutions and good agreement has been found. Numerical simulations of the water-mud system with different layer thicknesses suggest that the accuracy of the existing boundary layer theory for fluid-mud interaction is limited when the mud layer is thin because the assumption of irrotational core may not be valid. Although the paper is focused on solitary waves and Newtonian fluid-mud, the methodology can be extended to oscillatory, nonlinear water waves over a non-Newtonian mud bottom. DEWEY : 620.1 ISSN : 0733-9399 En ligne : http://ascelibrary.aip.org/vsearch/servlet/VerityServlet?KEY=JENMDT&smode=strres [...] [article] Spectral collocation model for solitary wave attenuation and mass transport over viscous mud [texte imprimé] / Huang, Lingyan, Auteur ; Qin Chen, Auteur . - pp. 881-891. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 135 N° 8 (Août 2009) . - pp. 881-891 Mots-clés : Wave attenuation Mud Solitary waves Spectral analysis Numerical Lagrangian functions Mass transport. Résumé : In this paper, wave attenuation and mass transport of a water-mud system due to a solitary wave on the free surface is modeled by using the Chebyshev-Chebyshev collocation spectral method for spatial discretization and a fourth-order multistage scheme for time integration. The governing equations are formulated in Lagrangian coordinates and perturbation equations for shallow water waves are derived. An iteration-by-subdomain technique is introduced to tackle the interface in the two-layer system. The numerical model is tested against available analytical solutions and good agreement has been found. Numerical simulations of the water-mud system with different layer thicknesses suggest that the accuracy of the existing boundary layer theory for fluid-mud interaction is limited when the mud layer is thin because the assumption of irrotational core may not be valid. Although the paper is focused on solitary waves and Newtonian fluid-mud, the methodology can be extended to oscillatory, nonlinear water waves over a non-Newtonian mud bottom. DEWEY : 620.1 ISSN : 0733-9399 En ligne : http://ascelibrary.aip.org/vsearch/servlet/VerityServlet?KEY=JENMDT&smode=strres [...]

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