Four-Quadrant Riemann Problem for a 2 × 2 System Involving Delta Shock

Jinah Hwang, Suyeon Shin, Myoungin Shin and Woonjae Hwang
Additional contact information
Jinah Hwang: Division of Applied Mathematical Sciences, Korea University, Sejong 30019, Korea
Suyeon Shin: Division of Applied Mathematical Sciences, Korea University, Sejong 30019, Korea
Myoungin Shin: Department of Ocean Systems Engineering, Sejong University, Seoul 05006, Korea
Woonjae Hwang: Division of Applied Mathematical Sciences, Korea University, Sejong 30019, Korea

Mathematics, 2021, vol. 9, issue 2, 1-22

Abstract: In this paper, a four-quadrant Riemann problem for a 2 × 2 system of hyperbolic conservation laws is considered in the case of delta shock appearing at the initial discontinuity. We also remove the restriction in that there is only one planar wave at each initial discontinuity. We include the existence of two elementary waves at each initial discontinuity and classify 14 topologically distinct solutions. For each case, we construct an analytic solution and compute the numerical solution.

Keywords: conservation laws; delta shock; 2-D Riemann problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/2/138/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/2/138/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:2:p:138-:d:477997

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().