A fractional phase-field model for two-phase flows with tunable sharpness: Algorithms and simulations
作者： Fangying Song , Chuanju Xu , George Em Karniadakis
DOI: 10.1016/J.CMA.2016.03.018
关键词:
摘要: … the constrained Allen–Cahn equation coupled to Navier–Stokes … an energy law for the fractional Navier–Stokes/phase-field … a non-local Lagrange multiplier ξ ( t ) in the Allen–Cahn …
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E Nogueira, RM Cotta, None, Heat transfer solutions in laminar co-current flow of immiscible liquids Wärme - und Stoffübertragung. ,vol. 25, pp. 361- 367 ,(1990) , 10.1007/BF01811560
V. Gafiychuk, B. Datsko, V. Meleshko, Mathematical modeling of time fractional reaction-diffusion systems Journal of Computational and Applied Mathematics. ,vol. 220, pp. 215- 225 ,(2008) , 10.1016/J.CAM.2007.08.011
Om Prakash Agrawal, Application of Fractional Derivatives in Thermal Analysis of Disk Brakes Nonlinear Dynamics. ,vol. 38, pp. 191- 206 ,(2004) , 10.1007/S11071-004-3755-7
Vittorio Cristini, Jerzy Bławzdziewicz, Michael Loewenberg, Drop breakup in three-dimensional viscous flows Physics of Fluids. ,vol. 10, pp. 1781- 1783 ,(1998) , 10.1063/1.869697
Ju Liu, Luca Dede, John A Evans, Micheal J Borden, Thomas JR Hughes, None, Isogeometric analysis of the advective Cahn-Hilliard equation: Spinodal decomposition under shear flow Journal of Computational Physics. ,vol. 242, pp. 321- 350 ,(2013) , 10.1016/J.JCP.2013.02.008
Hans Engler, On the Speed of Spread for Fractional Reaction-Diffusion Equations International Journal of Differential Equations. ,vol. 2010, pp. 1- 16 ,(2010) , 10.1155/2010/315421
Patricia R. Smith, Ian E.G. Morrison, Keith M. Wilson, Nelson Fernández, Richard J. Cherry, Anomalous Diffusion of Major Histocompatibility Complex Class I Molecules on HeLa Cells Determined by Single Particle Tracking Biophysical Journal. ,vol. 76, pp. 3331- 3344 ,(1999) , 10.1016/S0006-3495(99)77486-2
J.-L. Guermond, L. Quartapelle, A projection FEM for variable density incompressible flows Journal of Computational Physics. ,vol. 165, pp. 167- 188 ,(2000) , 10.1006/JCPH.2000.6609
Pengtao Yue, Chunfeng Zhou, James J. Feng, Carl F. Ollivier-Gooch, Howard H. Hu, Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite elements with adaptive meshing Journal of Computational Physics. ,vol. 219, pp. 47- 67 ,(2006) , 10.1016/J.JCP.2006.03.016
G.W. Gordon, B. Chazotte, X.F. Wang, B. Herman, Analysis of simulated and experimental fluorescence recovery after photobleaching. Data for two diffusing components Biophysical Journal. ,vol. 68, pp. 766- 778 ,(1995) , 10.1016/S0006-3495(95)80251-1