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Predictor-Corrector LU-SGS Discontinuous Galerkin Finite Element Method for Conservation Laws
Joint Authors
Ma, Xinrong
Liu, Sanyang
Xie, Gong-Nan
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-23
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Efficient implicit predictor-corrector LU-SGS discontinuous Galerkin (DG) approach for compressible Euler equations on unstructured grids is investigated by adding the error compensation of high-order term.
The original LU-SGS and GMRES schemes for DG method are discussed.
Van Albada limiter is employed to make the scheme monotone.
The numerical experiments performed for the transonic inviscid flows around NACA0012 airfoil, RAE2822 airfoil, and ONERA M6 wing indicate that the present algorithm has the advantages of low storage requirements and high convergence acceleration.
The computational efficiency is close to that of GMRES scheme, nearly 2.1 times greater than that of LU-SGS scheme on unstructured grids for 2D cases, and almost 5.5 times greater than that of RK4 on unstructured grids for 3D cases.
American Psychological Association (APA)
Ma, Xinrong& Liu, Sanyang& Xie, Gong-Nan. 2015. Predictor-Corrector LU-SGS Discontinuous Galerkin Finite Element Method for Conservation Laws. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1075116
Modern Language Association (MLA)
Ma, Xinrong…[et al.]. Predictor-Corrector LU-SGS Discontinuous Galerkin Finite Element Method for Conservation Laws. Mathematical Problems in Engineering No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1075116
American Medical Association (AMA)
Ma, Xinrong& Liu, Sanyang& Xie, Gong-Nan. Predictor-Corrector LU-SGS Discontinuous Galerkin Finite Element Method for Conservation Laws. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1075116
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1075116