A Second Order JFNK-based IMEX Method for Single and Multi-phase Flows

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Abstract We present a second order time accurate IMplicit/EXplicit (IMEX) method for solving single and multi-phase flow problems. The algorithm consists of a combination of an explicit and an implicit blocks. The explicit block solves the non-stiff parts of the governing system whereas the implicit block operates on the stiff terms. In our self-conisstent IMEX implementation, the explicit part is always executed inside the implicit block as part of the nonlinear functions evaluation making use of the Jacobian-freeNewton Krylov (JFNK) method [7]. This leads to an implicitly balanced algorithm in that all non-linearities due to the coupling of different time ... continued below

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Kadioglu, Samet; Knoll, Dana; Sussman, Mark & Martineau, Richard July 1, 2010.

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Abstract We present a second order time accurate IMplicit/EXplicit (IMEX) method for solving single and multi-phase flow problems. The algorithm consists of a combination of an explicit and an implicit blocks. The explicit block solves the non-stiff parts of the governing system whereas the implicit block operates on the stiff terms. In our self-conisstent IMEX implementation, the explicit part is always executed inside the implicit block as part of the nonlinear functions evaluation making use of the Jacobian-freeNewton Krylov (JFNK) method [7]. This leads to an implicitly balanced algorithm in that all non-linearities due to the coupling of different time terms are consistently converged. In this paper, we present computational results when this IMEX strategy is applied to single/multi-phase incompressible flow models. Samet

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  • The Sixth International Conference on Computational Fluid Dynamics,St. Petersburg, Russia,07/12/2010,07/16/2010

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  • Report No.: INL/CON-10-19312
  • Grant Number: DE-AC07-05ID14517
  • Office of Scientific & Technical Information Report Number: 989893
  • Archival Resource Key: ark:/67531/metadc1013857

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  • July 1, 2010

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  • Oct. 14, 2017, 8:36 a.m.

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  • Nov. 3, 2017, 5:24 p.m.

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Kadioglu, Samet; Knoll, Dana; Sussman, Mark & Martineau, Richard. A Second Order JFNK-based IMEX Method for Single and Multi-phase Flows, article, July 1, 2010; Idaho. (digital.library.unt.edu/ark:/67531/metadc1013857/: accessed July 21, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.