Simple and High-Accurate Schemes for Hyperbolic Conservation Laws
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-02
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The paper constructs a class of simple high-accurate schemes (SHA schemes) with third order approximation accuracy in both space and time to solve linear hyperbolic equations, using linear data reconstruction and Lax-Wendroff scheme.
The schemes can be made even fourth order accurate with special choice of parameter.
In order to avoid spurious oscillations in the vicinity of strong gradients, we make the SHA schemes total variation diminishing ones (TVD schemes for short) by setting flux limiter in their numerical fluxes and then extend these schemes to solve nonlinear Burgers’ equation and Euler equations.
The numerical examples show that these schemes give high order of accuracy and high resolution results.
The advantages of these schemes are their simplicity and high order of accuracy.
American Psychological Association (APA)
Feng, Renzhong& Wang, Zheng. 2014. Simple and High-Accurate Schemes for Hyperbolic Conservation Laws. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-459559
Modern Language Association (MLA)
Feng, Renzhong& Wang, Zheng. Simple and High-Accurate Schemes for Hyperbolic Conservation Laws. Journal of Applied Mathematics No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-459559
American Medical Association (AMA)
Feng, Renzhong& Wang, Zheng. Simple and High-Accurate Schemes for Hyperbolic Conservation Laws. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-459559
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-459559