Regularization of the Shock Wave Solution to the Riemann Problem for the Relativistic Burgers Equation

Joint Authors

Zhang, Ting
Shen, Chun

Source

Abstract and Applied Analysis

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

Mathematics

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