Numerical simulation of phase separation and a priori two-phase LES filtering

This work reports on the potential application of Large Eddy Simulation (LES) in the calculation of turbulent isothermal two-phase flows, in the case where the large scales of each phase are resolved and small interface structures can be smaller than the mesh size. In comparison with single phase flows, application of LES to two-phase flow problems should account for the complex interaction between the interface and the turbulent motion. The complete filtered two-phase flow equations are formulated to deal with turbulence at the interface. Explicit filtering of 3D direct numerical simulations of a phase separation problem has been employed to evaluate the order of magnitude of the specific subgrid contributions. Analyses of the numerical results have been conducted to derive conclusions on the relative importance of the different subgrid scale contributions. Modeling issues and turbulent energy transfer across the interface are discussed.

[1]  K. Squires,et al.  On the prediction of gas–solid flows with two-way coupling using large eddy simulation , 2000 .

[2]  Henk A. van der Vorst,et al.  Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems , 1992, SIAM J. Sci. Comput..

[3]  Youssef Michel Dakhoul Improved averaging method for turbulent flow simulation , 1983 .

[4]  D. Lakehal,et al.  Interface-turbulence interactions in large-scale bubbling processes , 2007 .

[5]  H. Lugt,et al.  Laminar flow behavior under slip−boundary conditions , 1975 .

[6]  Pierre Lubin,et al.  Three-dimensional Large Eddy Simulation of , 2006 .

[7]  J. M. Delhaye,et al.  Jump conditions and entropy sources in two-phase systems , 1974 .

[8]  Isabelle Calmet,et al.  Statistical structure of high-Reynolds-number turbulence close to the free surface of an open-channel flow , 2003, Journal of Fluid Mechanics.

[9]  P. Sagaut BOOK REVIEW: Large Eddy Simulation for Incompressible Flows. An Introduction , 2001 .

[10]  Keith W. Bedford,et al.  IMPROVED AVERAGING METHOD FOR TURBULENT FLOW SIMULATION. PART I: THEORETICAL DEVELOPMENT AND APPLICATION TO BURGERS' TRANSPORT EQUATION , 1986 .

[11]  Djamel Lakehal,et al.  LES of Turbulent Bubble Formation and Break-Up Based on Interface Tracking , 2004 .

[12]  J. Brackbill,et al.  A continuum method for modeling surface tension , 1992 .

[13]  S. Zaleski,et al.  DIRECT NUMERICAL SIMULATION OF FREE-SURFACE AND INTERFACIAL FLOW , 1999 .

[14]  P. Moin,et al.  A General Class of Commutative Filters for LES in Complex Geometries , 1998 .

[15]  Governing equations and a priori tests for the LES of two-phase flows , 2006 .

[16]  Erik Damgaard Christensen,et al.  Large eddy simulation of breaking waves , 2001 .

[17]  Eric Arquis,et al.  Macroscopic analysis of gas-jet wiping: Numerical simulation and experimental approach , 2006 .

[18]  R. Glowinski,et al.  Méthodes de Lagrangien augmenté : applications à la résolution numérique de problèmes aux limites , 1982 .

[19]  Pierre Lubin,et al.  An adaptative augmented Lagrangian method for three-dimensional multimaterial flows , 2004 .

[20]  Pierre Sagaut,et al.  Towards large eddy simulation of isothermal two-phase flows: Governing equations and a priori tests , 2007 .

[21]  W. Rider,et al.  Reconstructing Volume Tracking , 1998 .

[22]  Djamel Lakehal,et al.  Multi-physics treatment in the vicinity of arbitrarily deformable gas-liquid interfaces , 2007, J. Comput. Phys..

[23]  D. Homescu,et al.  Forced Convection Condensation on a Horizontal Tube: Influence of Turbulence in the Vapor and , 1999 .

[24]  J. Caltagirone,et al.  A One-Cell Local Multigrid Method for Solving Unsteady Incompressible Multiphase Flows , 2000 .

[25]  B. Geurts Mixing efficiency in turbulent shear layers , 2001 .

[26]  Bernardus J. Geurts,et al.  Direct and Large-Eddy Simulation V , 2004 .

[27]  Stéphane Vincent,et al.  TEST-CASE NO 15: PHASE INVERSION IN A CLOSED BOX (PC) , 2004 .

[28]  Pascal Gardin,et al.  Numerical Simulation of Gas-Jet Wiping in Steel Strip Galvanizing Process , 2005 .