Numerical Simulation for 2D Sedimentation Model by an Upwind Discontinuous Galerkin Procedure
Joint Authors
Chen, Huan-zhen
Jian, JinFeng
Shi, BaoHai
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-02-20
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
We reformulate the mathematical model for the 2D sedimentation in an estuary as a coupled nonlinear differential system.
Combining the mass-conservation character of the discontinuous Galerkin method and the jump-capturing property of Lesaint-Raviart upwind technique, we design an upwind discontinuous Galerkin finite element method, which obeys the local mass conservation and possesses good stability.
Our theoretical analysis shows that there exists a unique solution to the numerical procedure and the discrete solution permits O ( h k + Δ t ) convergence rate.
Numerical experiments are conducted to verify our theoretical findings.
This may provide a theoretical principle for better understanding of the mechanism and morphological characters of sedimentation at estuaries.
American Psychological Association (APA)
Jian, JinFeng& Chen, Huan-zhen& Shi, BaoHai. 2017. Numerical Simulation for 2D Sedimentation Model by an Upwind Discontinuous Galerkin Procedure. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-17.
https://search.emarefa.net/detail/BIM-1189847
Modern Language Association (MLA)
Jian, JinFeng…[et al.]. Numerical Simulation for 2D Sedimentation Model by an Upwind Discontinuous Galerkin Procedure. Mathematical Problems in Engineering No. 2017 (2017), pp.1-17.
https://search.emarefa.net/detail/BIM-1189847
American Medical Association (AMA)
Jian, JinFeng& Chen, Huan-zhen& Shi, BaoHai. Numerical Simulation for 2D Sedimentation Model by an Upwind Discontinuous Galerkin Procedure. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-17.
https://search.emarefa.net/detail/BIM-1189847
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1189847