Two-dimensional sediment transport models in shallow water equations. A second order finite volume approach on unstructured meshes

被引：73

作者：

Castro Diaz, M. J. ^{[1
]}

Fernandez-Nieto, E. D. ^{[2
]}

Ferreiro, A. M. ^{[3
]}

Pares, C. ^{[1
]}

机构：

[1] Univ Malaga, Dpto Anal Matemat, Malaga, Spain

[2] Univ Seville, Dept Matemat Aplicada 1, E-41012 Seville, Spain

[3] Univ A Coruna, Dpto Matemat, La Coruna, Spain

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2009年 / 198卷 / 33-36期

关键词：

Finite volume method; Shallow water; Bedload sediment transport; Nonconservative hyperbolic system; High order schemes; Unstructured meshes; Well-balanced; NONCONSERVATIVE HYPERBOLIC SYSTEMS; ESSENTIALLY NONOSCILLATORY SCHEMES; CONSERVATION-LAWS; EFFICIENT IMPLEMENTATION; TRIANGULAR MESHES; ORDER; FLOWS; RECONSTRUCTION; FRAMEWORK; PRODUCTS;

D O I：

10.1016/j.cma.2009.03.001

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we study the numerical approximation of bedload sediment transport due to shallow layer flows. The hydrodynamical component is modeled by a 2D shallow water system and the morphodynamical component by a solid transport discharge formula that depends on the hydrodynamical variables. The coupled system can be written as a nonconservative hyperbolic system. To discretize it, first we consider a Roe-type first order scheme as well as a variant based on the use of flux limiters. These first order schemes are then extended to second order accuracy by means of a new MUSCL-type reconstruction operator on unstructured meshes. Finally, some numerical tests are presented. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：2520 / 2538

页数：19

共 40 条

[1]

Anastasiou K, 1997, INT J NUMER METH FL, V24, P1225, DOI 10.1002/(SICI)1097-0363(19970615)24:11<1225::AID-FLD540>3.0.CO

[2]

2-D

[3]

[Anonymous], 1997, 9765 ICASE

[4]

Barth T.J., 1989, 27 AEROSPACE SCI M