Fully-implicit interface tracking for all-speed multifluid flows

Robert Nourgaliev, Samet Kadioglu, Vincent Mousseau

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)


A new interface tracking method for all-speed multi-fluid flows is introduced. The key feature of the method is that the interface motion and fluid dynamics are fully-(non-linearly)-coupled, which allows to completely eliminate operator-splitting temporal errors. The direct benefits of this treatment are a) the method is L-stable, permitting time steps controlled only by accuracy requirements; b) the method is high-order-accurate in time; c) the method is fully-conservative, even at the interface, and robust (no pressure-velocity oscillations, in difference to previous attempts for conservative interface tracking). The keys to these advantages are the high-order sharp cut-cell-based interface treatment combined with implicit Runge-Kutta (ESDIRK) scheme within the physics-based-preconditioned Jacobian-free Newton-Krylov method (JFNK) [KK03]. Interfaces are tracked by hybridizing the Lagrangian Marker tracking with the Eulerian JFNK-based Re-Distancing/Level-Set algorithm (MRD/LS) [NKMK08]; all non-linearly coupled with the JFNK-based "recovery Discontinuous Galerkin" (rDG-JFNK) for all-speed fluid flows [NTPMK08, PNMK08].

Original languageEnglish
Title of host publicationComputational Fluid Dynamics 2008
PublisherSpringer Berlin Heidelberg
Number of pages7
ISBN (Print)9783642012723
Publication statusPublished - 2009
Externally publishedYes
Event5th International Conference on Computational Fluid Dynamics, ICCFD 2008 - Seoul, Korea, Republic of
Duration: 7 Jul 200811 Jul 2008

Publication series

NameComputational Fluid Dynamics 2008


Conference5th International Conference on Computational Fluid Dynamics, ICCFD 2008
Country/TerritoryKorea, Republic of


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