Please use this identifier to cite or link to this item:
Title: Kinetic energy fix for low internal energy flows
Authors: Hu, X.Y.
Khoo, B.C. 
Keywords: Conservative scheme
Low internal energy flow
Positivity property
Issue Date: 1-Jan-2004
Source: Hu, X.Y., Khoo, B.C. (2004-01-01). Kinetic energy fix for low internal energy flows. Journal of Computational Physics 193 (1) : 243-259. ScholarBank@NUS Repository.
Abstract: When the kinetic energy of a flow is dominant, numerical schemes employed can encounter difficulties due to negative internal energy. A case study with several commonly used conservative schemes (MUSCL, ENO, WENO and CE/SE) shows that high order schemes may have less ability to preserve positive internal energy (MUSCL and CE/SE), or present less accurate results (WENO and ENO) when the internal energy to kinetic energy ratio is low. By analyzing the positivity property for second-order conservative schemes with large fixed CFL number conditions for time step restriction, this paper proposes the energy consistency conditions for second-order Riemann-solver type schemes and CE/SE method. According to the said energy consistency conditions, a kinetic energy fix method which limits the magnitude of kinetic energy relative to the total energy is introduced. The numerical examples show that the kinetic energy fixed CE/SE method produces reasonable results and keeps positive internal energy for flows with very low internal energy even when a vacuum occurs. © 2003 Elsevier B.V. All rights reserved.
Source Title: Journal of Computational Physics
ISSN: 00219991
DOI: 10.1016/
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.


checked on Mar 8, 2018


checked on Feb 7, 2018

Page view(s)

checked on Mar 12, 2018

Google ScholarTM



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