On the development of a rotated-hybrid HLL/HLLC approximate Riemann solver for relativistic hydrodynamics

Simple item page
dc.contributor.authorTownsend, Jamie F.
dc.contributor.authorKönözsy, László Z.
dc.contributor.authorJenkins, Karl W.
dc.date.accessioned2021-01-26T17:08:54Z
dc.date.available2021-01-26T17:08:54Z
dc.date.freetoread2021-01-26
dc.date.issued2020-06-13
dc.description.abstractThis work presents the development of a rotated-hybrid Riemann solver for solving relativistic hydrodynamics (RHD) problems with the hybridization of the HLL and HLLC (or Rusanov and HLLC) approximate Riemann solvers. A standalone application of the HLLC Riemann solver can produce spurious numerical artefacts when it is employed in conjunction with Godunov-type high-order methods in the presence of discontinuities. It has been found that a rotated-hybrid Riemann solver with the proposed HLL/HLLC (Rusanov/HLLC) scheme could overcome the difficulty of the spurious numerical artefacts and presents a robust solution for the Carbuncle problem. The proposed rotated-hybrid Riemann solver provides sufficient numerical dissipation to capture the behaviour of strong shock waves for RHD. Therefore, in this work, we focus on two benchmark test cases (odd–even decoupling and double-Mach reflection problems) and investigate two astrophysical phenomena, the relativistic Richtmyer–Meshkov instability and the propagation of a relativistic jet. In all presented test cases, the Carbuncle problem is shown to be eliminated by employing the proposed rotated-hybrid Riemann solver. This strategy is problem-independent, straightforward to implement and provides a consistent robust numerical solution when combined with Godunov-type high-order schemes for RHDen_UK
dc.identifier.citationTownsend JF, Könözsy L, Jenkins KW. (2020) On the development of a rotated-hybrid HLL/HLLC approximate Riemann solver for relativistic hydrodynamics. Monthly Notices of the Royal Astronomical Society, Volume 496, Issue 2, August 2020, pp. 2493-2505en_UK
dc.identifier.cris27765699
dc.identifier.issn0035-8711
dc.identifier.urihttps://doi.org/10.1093/mnras/staa1648
dc.identifier.urihttps://dspace.lib.cranfield.ac.uk/handle/1826/16256
dc.language.isoenen_UK
dc.publisherOxford University Pressen_UK
dc.rightsAttribution-NonCommercial 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/*
dc.subjectmethods: numericalen_UK
dc.subjectshock wavesen_UK
dc.subjectrelativistic processesen_UK
dc.subjectinstabilitiesen_UK
dc.subjecthydrodynamicsen_UK
dc.titleOn the development of a rotated-hybrid HLL/HLLC approximate Riemann solver for relativistic hydrodynamicsen_UK
dc.typeArticleen_UK

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
On_the_development_of_a_rotated-hybrid HLL-2020.pdf
Size:
1.98 MB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.63 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Staff publications (SATM)