The ultra weak variational formulation for the modified mild-slope equation

被引：1

作者：

Alvarez, Amaury C. ^{[1
]}

Garcia, Galina C. ^{[2
]}

Sarkis, Marcus ^{[3
]}

机构：

[1] IMPA, Dept Fluid Dynam, Dona Castorina 110, Rio De Janeiro, Brazil

[2] Univ Santiago de Chile, Dept Matemat & Ciencia Computac, Casilla 307,Correo 2, Santiago, Chile

[3] Worcester Polytech Inst, Dept Math Sci, 100 Inst Rd, Worcester, MA 01609 USA

来源：

APPLIED MATHEMATICAL MODELLING | 2017年 / 52卷

基金：

美国国家科学基金会;

关键词：

Ultra weak variational formulation; Mild-slope equation; Finite element method; COMBINED REFRACTION DIFFRACTION; WAVE-PROPAGATION MODELS; HELMHOLTZ PROBLEM; COASTAL REGIONS; FINITE; IMPLEMENTATION; ELEMENTS;

D O I：

10.1016/j.apm.2017.07.018

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper is devoted to evaluate a new alternative numerical method to capture accurately the diffraction-refraction process of waves in coastal areas. The modified mild-slope equation (MMSE) has been used to predict the water wave transformation when waves approach the shoreline. We perform numerical simulations in order to illustrate the efficiency of the ultra weak variational formulation (UWVF) method in comparison with the finite elements method (FEM). The UWVF method uses plane wave solutions on each element and has been shown to reduce the computational complexity at high wave numbers. We also present an alternative method to seek the angle of attack of the wave front on the domain boundary and show that the UWVF method reproduces effectively the numerical experimental data. We compare the FEM and the UWVF method for the MMSE and show that the UWVF method solves some of the difficulties that arise when the FEM is applied. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：28 / 41

页数：14

共 45 条

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