Regularization of the Shock Wave Solution to the Riemann Problem for the Relativistic Burgers Equation
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-19
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The regularization of the shock wave solution to the Riemann problem for the relativistic Burgers equation is considered.
For Riemann initial data consisting of a single decreasing jump, we find that the regularization of nonlinear convective term cannot capture the correct shock wave solution.
In order to overcome it, we consider a new regularization technique called the observable divergence method introduced by Mohseni and discover that it can capture the correct shock wave solution.
In addition, we take the Helmholtz filter for the fully explicit computation.
American Psychological Association (APA)
Zhang, Ting& Shen, Chun. 2014. Regularization of the Shock Wave Solution to the Riemann Problem for the Relativistic Burgers Equation. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1033580
Modern Language Association (MLA)
Zhang, Ting& Shen, Chun. Regularization of the Shock Wave Solution to the Riemann Problem for the Relativistic Burgers Equation. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1033580
American Medical Association (AMA)
Zhang, Ting& Shen, Chun. Regularization of the Shock Wave Solution to the Riemann Problem for the Relativistic Burgers Equation. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1033580
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033580