Bulletin of the American Physical Society
71st Annual Meeting of the APS Division of Fluid Dynamics
Volume 63, Number 13
Sunday–Tuesday, November 18–20, 2018; Atlanta, Georgia
Session D10: Computational Fluid Dynamics Methods for Multiphase Flows II
2:30 PM–4:40 PM,
Sunday, November 18, 2018
Georgia World Congress Center
Room: B215
Chair: Stephane Zaleski, Pierre and Marie Curie University
Abstract ID: BAPS.2018.DFD.D10.7
Abstract: D10.00007 : The extended Ghost Fluid Method (xGFM): recovering convergence of the fluxes when solving Poisson equations with jump conditions.*
3:48 PM–4:01 PM
Presenter:
Raphael Egan
(Univ of California - Santa Barbara)
Authors:
Raphael Egan
(Univ of California - Santa Barbara)
Frederic Gibou
(Univ of California - Santa Barbara)
Among the various numerical methods that have been developed over the last decades to address the Poisson problem with jump conditions across an irregular interface, the "Boundary Condition Capturing Method" by Liu, et al., 2000 (commonly referred to as the "Ghost Fluid Method") has established itself as a first-choice tool in (sharp) multiphase flow simulations. Its small discretization stencil, its ease of implementation and the symmetric positive-definiteness of its linear system of equations make the method very robust and thus highly suited for large-scale simulations. Nevertheless, the GFM's weakness lies in the lack of convergence for the gradients of the solution (and thus the flux vectors) which may pose serious accuracy issues, especially in the context of projection methods.
In this presentation, we show a rather simple fix to recover convergence for the gradient of the solution. The technique does not alter the discretization stencil nor the symmetric positive-definiteness of the linear system of equations. Illustrations (including multiphase-flow simulations) are shown.*ONR N00014-17-1-2676 and ARO W911NF-16-1-0136
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2018.DFD.D10.7
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