A Discontinuous Galerkin Method for Two-Dimensional Shock Wave Modeling
Joint Authors
Source
Modelling and Simulation in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-20
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A numerical scheme based on discontinuous Galerkin method is proposed for the two-dimensional shallow water flows.
The scheme is applied to model flows with shock waves.
The form of shallow water equations that can eliminate numerical imbalance between flux term and source term and simplify computation is adopted here.
The HLL approximate Riemann solver is employed to calculate the mass and momentum flux.
A slope limiting procedure that is suitable for incompressible two-dimensional flows is presented.
A simple method is adapted for flow over initially dry bed.
A new formulation is introduced for modeling the net pressure force and gravity terms in discontinuous Galerkin method.
To validate the scheme, numerical tests are performed to model steady and unsteady shock waves.
Applications include circular dam break with shock, shock waves in channel contraction, and dam break in channel with 45∘ bend.
Numerical results show that the scheme is accurate and efficient to model two-dimensional shallow water flows with shock waves.
American Psychological Association (APA)
Lai, W.& Khan, A. A.. 2011. A Discontinuous Galerkin Method for Two-Dimensional Shock Wave Modeling. Modelling and Simulation in Engineering،Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-497662
Modern Language Association (MLA)
Lai, W.& Khan, A. A.. A Discontinuous Galerkin Method for Two-Dimensional Shock Wave Modeling. Modelling and Simulation in Engineering No. 2011 (2011), pp.1-10.
https://search.emarefa.net/detail/BIM-497662
American Medical Association (AMA)
Lai, W.& Khan, A. A.. A Discontinuous Galerkin Method for Two-Dimensional Shock Wave Modeling. Modelling and Simulation in Engineering. 2011. Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-497662
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497662