TY - GEN
T1 - A second order JFNK-based IMEX method for single and multi-phase flows
AU - Kadioglu, Samet
AU - Knoll, Dana
AU - Sussman, Mark
AU - Martineau, Richard
PY - 2011
Y1 - 2011
N2 - 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-consistent IMEX implementation, the explicit part is always executed inside the implicit block as part of the nonlinear functions evaluation making use of the Jacobian-free Newton Krylov (JFNK) method (Knoll and Keyes, J. Comput. Phys. 193:357-397, 2004). 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.
AB - 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-consistent IMEX implementation, the explicit part is always executed inside the implicit block as part of the nonlinear functions evaluation making use of the Jacobian-free Newton Krylov (JFNK) method (Knoll and Keyes, J. Comput. Phys. 193:357-397, 2004). 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.
UR - https://www.scopus.com/pages/publications/84890285765
U2 - 10.1007/978-3-642-17884-9_69
DO - 10.1007/978-3-642-17884-9_69
M3 - Conference contribution
AN - SCOPUS:84890285765
SN - 9783642178832
T3 - Computational Fluid Dynamics 2010 - Proceedings of the 6th International Conference on Computational Fluid Dynamics, ICCFD 2010
SP - 549
EP - 554
BT - Computational Fluid Dynamics 2010 - Proceedings of the 6th International Conference on Computational Fluid Dynamics, ICCFD 2010
PB - Kluwer Academic Publishers
T2 - 6th International Conference on Computational Fluid Dynamics, ICCFD 2010
Y2 - 12 July 2010 through 16 July 2010
ER -