Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/62417
Title: A characteristic space-time conservation element and solution element method for conservation laws II. Multidimensional extension
Authors: Shen, H
Wen, CY 
Keywords: Space-time conservation element and solution element (CE/SE) method
Upwind scheme
Shock capturing scheme
Riemann solver
Carbuncle phenomenon
Issue Date: 2016
Publisher: Academic Press
Source: Journal of computational physics, 2016, v. 305, p. 775-792 How to cite?
Journal: Journal of computational physics 
Abstract: The characteristic space-time conservation element and solution element (CE/SE) schemes proposed by Shen et al. (2015) [15] are straightforward extended to multidimensional schemes on 2D rectangular meshes which strictly follow the space-time conservation law. The schemes for solving both scalar conservation laws and compressible Euler equations with shock waves are developed. They are accurate and robust with CFL widely ranging from 0 to nearly 1. In Euler solvers, the frequently-used Harten, Lax and van Leer (HLL) Riemann solver, contact discontinuity restoring HLLC Riemann solver and Roe Riemann solver are employed to calculate the upwind fluxes as examples. When standard grid-aligned Riemann solvers are employed, the carbuncle phenomena are significantly suppressed when comparing with conventional upwind schemes. If rotated Riemann solvers are employed, nearly carbuncle-free results are obtained. Several well understood numerical examples are carried out to demonstrate that the 2D characteristic CE/SE schemes can simultaneously capture shocks and details of complex flow structures very well.
URI: http://hdl.handle.net/10397/62417
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2015.11.017
Appears in Collections:Journal/Magazine Article

Access
View full-text via PolyU eLinks SFX Query
Show full item record

SCOPUSTM   
Citations

8
Last Week
0
Last month
Citations as of May 14, 2018

WEB OF SCIENCETM
Citations

6
Last Week
0
Last month
Citations as of May 19, 2018

Page view(s)

66
Last Week
1
Last month
Citations as of May 20, 2018

Google ScholarTM

Check

Altmetric


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