A robust and efficient finite volume method for compressible inviscid and viscous twophase flows [A robust and efficient finite volume method for compressible viscous twophase flows]
Abstract
A robust and efficient densitybased finite volume method is developed for solving the sixequation single pressure system of twophase flows at all speeds on hybrid unstructured grids. Unlike conventional approaches where an expensive exact Riemann solver is normally required for computing numerical fluxes at the twophase interfaces in addition to AUSMtype fluxes for singlephase interfaces in order to maintain stability and robustness in cases involving interactions of strong pressure and voidfraction discontinuities, a volumefraction coupling term for the AUSM^{+}up fluxes is introduced in this work to impart the required robustness without the need of the exact Riemann solver. The resulting method is significantly less expensive in regions where otherwise the Riemann solver would be invoked. A transformation from conservative variables to primitive variables is presented and the primitive variables are then solved in the implicit method in order for the current finite volume method to be able to solve, effectively and efficiently, low Mach number flows in traditional multiphase applications, which otherwise is a great challenge for the standard densitybased algorithms. Here, a number of benchmark test cases are presented to assess the performance and robustness of the developed finite volume method for both inviscid and viscous twophase flow problems.more »
 Authors:

 North Carolina State Univ., Raleigh, NC (United States)
 Publication Date:
 Research Org.:
 Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); UTBattelle LLC/ORNL, Oak Ridge, TN (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1543562
 Alternate Identifier(s):
 OSTI ID: 1532775
 Grant/Contract Number:
 AC0500OR22725
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of Computational Physics
 Additional Journal Information:
 Journal Volume: 371; Journal Issue: C; Journal ID: ISSN 00219991
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 97 MATHEMATICS AND COMPUTING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Computer Science; Physics; Twofluid model; Six equation; Allspeed methods
Citation Formats
Pandare, Aditya K., and Luo, Hong. A robust and efficient finite volume method for compressible inviscid and viscous twophase flows [A robust and efficient finite volume method for compressible viscous twophase flows]. United States: N. p., 2018.
Web. doi:10.1016/j.jcp.2018.05.018.
Pandare, Aditya K., & Luo, Hong. A robust and efficient finite volume method for compressible inviscid and viscous twophase flows [A robust and efficient finite volume method for compressible viscous twophase flows]. United States. doi:10.1016/j.jcp.2018.05.018.
Pandare, Aditya K., and Luo, Hong. Fri .
"A robust and efficient finite volume method for compressible inviscid and viscous twophase flows [A robust and efficient finite volume method for compressible viscous twophase flows]". United States. doi:10.1016/j.jcp.2018.05.018. https://www.osti.gov/servlets/purl/1543562.
@article{osti_1543562,
title = {A robust and efficient finite volume method for compressible inviscid and viscous twophase flows [A robust and efficient finite volume method for compressible viscous twophase flows]},
author = {Pandare, Aditya K. and Luo, Hong},
abstractNote = {A robust and efficient densitybased finite volume method is developed for solving the sixequation single pressure system of twophase flows at all speeds on hybrid unstructured grids. Unlike conventional approaches where an expensive exact Riemann solver is normally required for computing numerical fluxes at the twophase interfaces in addition to AUSMtype fluxes for singlephase interfaces in order to maintain stability and robustness in cases involving interactions of strong pressure and voidfraction discontinuities, a volumefraction coupling term for the AUSM+up fluxes is introduced in this work to impart the required robustness without the need of the exact Riemann solver. The resulting method is significantly less expensive in regions where otherwise the Riemann solver would be invoked. A transformation from conservative variables to primitive variables is presented and the primitive variables are then solved in the implicit method in order for the current finite volume method to be able to solve, effectively and efficiently, low Mach number flows in traditional multiphase applications, which otherwise is a great challenge for the standard densitybased algorithms. Here, a number of benchmark test cases are presented to assess the performance and robustness of the developed finite volume method for both inviscid and viscous twophase flow problems. The numerical results indicate that the current densitybased method provides an attractive and viable alternative to its pressurebased counterpart for compressible twophase flows at all speeds.},
doi = {10.1016/j.jcp.2018.05.018},
journal = {Journal of Computational Physics},
number = C,
volume = 371,
place = {United States},
year = {2018},
month = {5}
}
Web of Science
Figures / Tables:
Works referencing / citing this record:
A reconstructed discontinuous Galerkin method for multi‐material hydrodynamics with sharp interfaces
journal, January 2020
 Pandare, Aditya K.; Waltz, Jacob; Bakosi, Jozsef
 International Journal for Numerical Methods in Fluids, Vol. 92, Issue 8
An enhanced AUSM $$^{+}$$ + up scheme for highspeed compressible twophase flows on hybrid grids
journal, September 2018
 Pandare, A. K.; Luo, H.; Bakosi, J.
 Shock Waves, Vol. 29, Issue 5
A highorder accurate AUSM$$^+$$up approach for simulations of compressible multiphase flows with linear viscoelasticity
journal, January 2019
 Rodriguez, M.; Johnsen, E.; Powell, K. G.
 Shock Waves, Vol. 29, Issue 5
Uncertainty quantification of shock–bubble interaction simulations
journal, February 2019
 Jin, J.; Deng, X.; Abe, Y.
 Shock Waves, Vol. 29, Issue 8
Figures / Tables found in this record: