中文版 | English
Title

A physical-constraint-preserving finite volume WENO method for special relativistic hydrodynamics on unstructured meshes

Author
Corresponding AuthorWu, Kailiang
Publication Years
2022-10-01
DOI
Source Title
ISSN
0021-9991
EISSN
1090-2716
Volume466
Abstract
This paper presents a highly robust third-order accurate finite volume weighted essentially non-oscillatory (WENO) method for special relativistic hydrodynamics on unstructured triangular meshes. We rigorously prove that the proposed method is physical-constraintpreserving (PCP), namely, always preserves the positivity of the pressure and the rest-mass density as well as the subluminal constraint on the fluid velocity. The method is built on a highly efficient compact WENO reconstruction on unstructured meshes, a simple PCP limiter, the provably PCP property of the Harten-Lax-van Leer flux, and third-order strong-stability-preserving time discretization. Due to the relativistic effects, the primitive variables (namely, the rest-mass density, velocity, and pressure) are highly nonlinear implicit functions in terms of the conservative variables, making the design and analysis of our method nontrivial. To address the difficulties arising from the strong nonlinearity, we adopt a novel quasilinear technique for the theoretical proof of the PCP property. Three provable convergence-guaranteed iterative algorithms are also introduced for the robust recovery of primitive quantities from admissible conservative variables. We also propose a slight modification to an existing WENO reconstruction to ensure the scaling invariance of the nonlinear weights and thus to accommodate the homogeneity of the evolution operator, leading to the advantages of the modified WENO reconstruction in resolving multi-scale wave structures. Extensive numerical examples are presented to demonstrate the robustness, expected accuracy, and high resolution of the proposed method.
Keywords
URL[Source Record]
Indexed By
Language
English
SUSTech Authorship
Corresponding
Funding Project
National Natural Science Foundation of China["11901460","12171227"]
WOS Research Area
Computer Science ; Physics
WOS Subject
Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS Accession No
WOS:000841979000014
Publisher
ESI Research Field
PHYSICS
Data Source
Web of Science
Citation statistics
Cited Times [WOS]:1
Document TypeJournal Article
Identifierhttp://kc.sustech.edu.cn/handle/2SGJ60CL/394157
DepartmentDepartment of Mathematics
Affiliation
1.Northwestern Polytech Univ, Sch Math & Stat, Xian Key Lab Sci Computat & Appl Stat, NPU UoG Int Cooperat Lab Computat & Applicat Cardi, Xian 710129, Shaanxi, Peoples R China
2.Southern Univ Sci & Technol, Dept Math & SUSTech Int Ctr Math, Natl Ctr Appl Math Shenzhen NCAMS, Shenzhen 518055, Guangdong, Peoples R China
Corresponding Author AffilicationDepartment of Mathematics
Recommended Citation
GB/T 7714
Chen, Yaping,Wu, Kailiang. A physical-constraint-preserving finite volume WENO method for special relativistic hydrodynamics on unstructured meshes[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2022,466.
APA
Chen, Yaping,&Wu, Kailiang.(2022).A physical-constraint-preserving finite volume WENO method for special relativistic hydrodynamics on unstructured meshes.JOURNAL OF COMPUTATIONAL PHYSICS,466.
MLA
Chen, Yaping,et al."A physical-constraint-preserving finite volume WENO method for special relativistic hydrodynamics on unstructured meshes".JOURNAL OF COMPUTATIONAL PHYSICS 466(2022).
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Export to Excel
Export to Csv
Altmetrics Score
Google Scholar
Similar articles in Google Scholar
[Chen, Yaping]'s Articles
[Wu, Kailiang]'s Articles
Baidu Scholar
Similar articles in Baidu Scholar
[Chen, Yaping]'s Articles
[Wu, Kailiang]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Chen, Yaping]'s Articles
[Wu, Kailiang]'s Articles
Terms of Use
No data!
Social Bookmark/Share
No comment.

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.