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Fully-coupled pressure-based finite-volume framework for the simulation of fluid flows at all speeds in complex geometries
File(s)
Author(s)
Xiao, C-N
Denner, F
Van Wachem, B
Type
Journal Article
Abstract
A generalized finite-volume framework for the solution of fluid flows at all speeds in complex geometries and on unstructured meshes is presented. Starting from an existing pressure-based and fully-coupled formulation for the solution of incompressible flow equations, the additional implementation of pressure–density–energy coupling as well as shock-capturing leads to a novel solver framework which is capable of handling flows at all speeds, including quasi-incompressible, subsonic, transonic and supersonic flows. The proposed numerical framework features an implicit coupling of pressure and velocity, which improves the numerical stability in the presence of complex sources and/or equations of state, as well as an energy equation discretized in conservative form that ensures an accurate prediction of temperature and Mach number across strong shocks. The framework is verified and validated by a large number of test cases, demonstrating the accurate and robust prediction of steady-state and transient flows in the quasi-incompressible as well as subsonic, transonic and supersonic speed regimes on structured and unstructured meshes as well as in complex domains.
Date Issued
2017-06-09
Date Acceptance
2017-06-05
Citation
Journal of Computational Physics, 2017, 346, pp.91-130
URI
DOI
ISSN
1090-2716
Publisher
Elsevier
Start Page
91
End Page
130
Journal / Book Title
Journal of Computational Physics
Volume
346
Copyright Statement
© 2017 The Authors. Published by Elsevier Inc. This is an open access article under the CC
BY license (http://creativecommons.org/licenses/by/4.0/).
Sponsor
Shell Global Solutions International BV
Engineering & Physical Science Research Council (EPSRC)
Grant Number
PO No. 4550082499
EP/M021556/1
Subjects
Applied Mathematics
01 Mathematical Sciences
02 Physical Sciences
09 Engineering
Publication Status
Published