A Finite Volume Method for Modeling Shallow Flows with Wet-Dry Fronts on Adaptive Cartesian Grids
Joint Authors
Liu, Yi
Bi, Sheng
Song, Lixiang
Zhou, Jianzhong
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-09
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
A second-order accurate, Godunov-type upwind finite volume method on dynamic refinement grids is developed in this paper for solving shallow-water equations.
The advantage of this grid system is that no data structure is needed to store the neighbor information, since neighbors are directly specified by simple algebraic relationships.
The key ingredient of the scheme is the use of the prebalanced shallow-water equations together with a simple but effective method to track the wet/dry fronts.
In addition, a second-order spatial accuracy in space and time is achieved using a two-step unsplit MUSCL-Hancock method and a weighted surface-depth gradient method (WSDM) which considers the local Froude number is proposed for water depths reconstruction.
The friction terms are solved by a semi-implicit scheme that can effectively prevent computational instability from small depths and does not invert the direction of velocity components.
Several benchmark tests and a dam-break flooding simulation over real topography cases are used for model testing and validation.
Results show that the proposed model is accurate and robust and has advantages when it is applied to simulate flow with local complex topographic features or flow conditions and thus has bright prospects of field-scale application.
American Psychological Association (APA)
Bi, Sheng& Zhou, Jianzhong& Liu, Yi& Song, Lixiang. 2014. A Finite Volume Method for Modeling Shallow Flows with Wet-Dry Fronts on Adaptive Cartesian Grids. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-20.
https://search.emarefa.net/detail/BIM-454758
Modern Language Association (MLA)
Bi, Sheng…[et al.]. A Finite Volume Method for Modeling Shallow Flows with Wet-Dry Fronts on Adaptive Cartesian Grids. Mathematical Problems in Engineering No. 2014 (2014), pp.1-20.
https://search.emarefa.net/detail/BIM-454758
American Medical Association (AMA)
Bi, Sheng& Zhou, Jianzhong& Liu, Yi& Song, Lixiang. A Finite Volume Method for Modeling Shallow Flows with Wet-Dry Fronts on Adaptive Cartesian Grids. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-20.
https://search.emarefa.net/detail/BIM-454758
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454758