Delta Shocks and Vacuums to the Isentropic Euler Equations with the Flux Perturbation for van der Waals Gas
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-28
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this paper, we study the isentropic Euler equations with the flux perturbation for van der Waals gas, in which the density has both lower and upper bounds due to the introduction of the flux approximation and the molecular excluded volume.
First, we solve the Riemann problem of this system and construct the Riemann solutions.
Second, the formation mechanisms of delta shocks and vacuums are analyzed for the Riemann solutions as the pressure, the flux approximation, and the molecular excluded volume all vanish.
Finally, some numerical simulations are demonstrated to verify the theoretical analysis.
American Psychological Association (APA)
Wang, Jinhuan& Nie, Yongbin. 2020. Delta Shocks and Vacuums to the Isentropic Euler Equations with the Flux Perturbation for van der Waals Gas. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1195034
Modern Language Association (MLA)
Wang, Jinhuan& Nie, Yongbin. Delta Shocks and Vacuums to the Isentropic Euler Equations with the Flux Perturbation for van der Waals Gas. Mathematical Problems in Engineering No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1195034
American Medical Association (AMA)
Wang, Jinhuan& Nie, Yongbin. Delta Shocks and Vacuums to the Isentropic Euler Equations with the Flux Perturbation for van der Waals Gas. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1195034
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195034