An enhanced AUSM^{+}up scheme for highspeed compressible twophase flows on hybrid grids
Abstract
Here in this work, an enhanced AUSM^{+}up scheme is presented for highspeed compressible twophase flows using a sixequation twofluid singlepressure model. Based on the observation that the AUSM^{+}up flux function does not take into account relative velocity between the two phases and thus is not stable and robust for computation of twophase flows involving interaction of strong shock waves and material interfaces, the enhancement is in the form of a volume fraction coupling term and a modification of the velocity diffusion term, both proportional to the relative velocity between the two phases. These modifications in the flux function obviate the need to employ the exact Riemann solver, leading to a significantly less expensive yet robust flux scheme. Furthermore, the Tangent of Hyperbola for INterface Capturing (THINC) scheme is used in order to provide a sharp resolution for material interfaces. A number of benchmark test cases are presented to assess the performance and robustness of the enhanced AUSM^{+}up scheme for compressible twophase flows on hybrid unstructured grids. Lastly, the numerical experiments demonstrate that the enhanced AUSM^{+}up scheme along with THINC scheme can efficiently compute highspeed twofluid flows such as shock–bubble interactions, while accurately capturing material interfaces.
 Authors:

 North Carolina State Univ., Raleigh, NC (United States)
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Publication Date:
 Research Org.:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org.:
 USDOE Laboratory Directed Research and Development (LDRD) Program
 OSTI Identifier:
 1482001
 Report Number(s):
 LAUR1824062
Journal ID: ISSN 14322153
 Grant/Contract Number:
 AC5206NA25396; AC0500OR22725
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Shock Waves (Online)
 Additional Journal Information:
 Journal Name: Shock Waves (Online); Journal Volume: 29; Journal Issue: 5; Journal ID: ISSN 14322153
 Publisher:
 Springer Nature
 Country of Publication:
 United States
 Language:
 English
 Subject:
 42 ENGINEERING; Twofluid model; shock waves; material interfaces; AUSM
Citation Formats
Pandare, Aditya Kiran, Luo, Hong, and Bakosi, Jozsef. An enhanced AUSM+up scheme for highspeed compressible twophase flows on hybrid grids. United States: N. p., 2018.
Web. doi:10.1007/s001930180861x.
Pandare, Aditya Kiran, Luo, Hong, & Bakosi, Jozsef. An enhanced AUSM+up scheme for highspeed compressible twophase flows on hybrid grids. United States. doi:10.1007/s001930180861x.
Pandare, Aditya Kiran, Luo, Hong, and Bakosi, Jozsef. Tue .
"An enhanced AUSM+up scheme for highspeed compressible twophase flows on hybrid grids". United States. doi:10.1007/s001930180861x. https://www.osti.gov/servlets/purl/1482001.
@article{osti_1482001,
title = {An enhanced AUSM+up scheme for highspeed compressible twophase flows on hybrid grids},
author = {Pandare, Aditya Kiran and Luo, Hong and Bakosi, Jozsef},
abstractNote = {Here in this work, an enhanced AUSM+up scheme is presented for highspeed compressible twophase flows using a sixequation twofluid singlepressure model. Based on the observation that the AUSM+up flux function does not take into account relative velocity between the two phases and thus is not stable and robust for computation of twophase flows involving interaction of strong shock waves and material interfaces, the enhancement is in the form of a volume fraction coupling term and a modification of the velocity diffusion term, both proportional to the relative velocity between the two phases. These modifications in the flux function obviate the need to employ the exact Riemann solver, leading to a significantly less expensive yet robust flux scheme. Furthermore, the Tangent of Hyperbola for INterface Capturing (THINC) scheme is used in order to provide a sharp resolution for material interfaces. A number of benchmark test cases are presented to assess the performance and robustness of the enhanced AUSM+up scheme for compressible twophase flows on hybrid unstructured grids. Lastly, the numerical experiments demonstrate that the enhanced AUSM+up scheme along with THINC scheme can efficiently compute highspeed twofluid flows such as shock–bubble interactions, while accurately capturing material interfaces.},
doi = {10.1007/s001930180861x},
journal = {Shock Waves (Online)},
number = 5,
volume = 29,
place = {United States},
year = {2018},
month = {9}
}
Web of Science
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