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原文传递 Convergence of Multilayer Nonhydrostatic Models in Relation to Boussinesq-Type Equations

题名：	Convergence of Multilayer Nonhydrostatic Models in Relation to Boussinesq-Type Equations
其他题名：	Agnon,Y.,Madsen,P.A.,and Sch(a)ffer,H.A.(1999)."A new approach to high-order Boussinesq models."J.Fluid Mech.,399,319-333.
正文语种：	英文
作者：	Yefei Bai
关键词：	Boussinesq-type equations;Dispersion;Multilayer models;Nonhydrostatic models;Nonlinearity;Shoaling
摘要：	Multilayer nonhydrostatic models have gained popularity in the computation of ocean wave processes, but a recent attempt to make a connection to the Boussinesq-type approach raises some fundamental issues that require a rigorous assessment beyond the conventional framework of approximation. Such an endeavor is readily feasible for depth-integrated nonhydrostatic models because of the existence of an equivalent Boussinesq form. An examination of the governing equations shows that defining the nonhydrostatic pressure at layer interfaces for depth integration gives rise to a leading-order approximation of the dispersion relation distinct from the Taylor-series expansion. Introducing a parameterized nonhydrostatic pressure profile or increasing the number of layers is akin to retaining high-order terms in the Boussinesq-type equations with comparable rational function approximations of linear and nonlinear wave properties. Although both approaches converge to the exact solution at high order, the spatial derivatives in nonhydrostatic models always remain at first order. The simple numerical framework along with grid refinement techniques enable application of a single model over a wide range of spatial scales for practical application.
出版年：	2018
论文唯一标识：	P-108Y2018V144N02014
英文栏目名称：	TECHNICAL NOTES
doi：	10.1061/(ASCE)WW.1943-5460.0000438
期刊名称：	Journal of Waterway, Port, Coastal, and Ocean Engineering
拼音刊名(出版物代码)：	P-108
卷：	144
期：	02
页码：	164-173