TDF) Implicitly solve diffusion equation of ? D. (3) Compute density ? and viscosity µ. (4) (Optional) Implicitly solve predictor velocity U *. (5) Solve PISO loop for N corr cycles ,
, 1) Compute pseudo-velocity?Uvelocity? velocity?U. (5.2) Compute pseudo-face flux?Fflux? flux?F
20: Algorithm structure of both single grid two-phase solvers ,
On conservation at grid interfaces, SIAM Journal on Numerical Analysis, vol.24, issue.5, pp.967-984, 1987. ,
An adaptive projection method for the incompressible euler equations, Tech. rep., Lawrence Liver785 more National Lab, CA, 1993. ,
A second-order projection method for the incompressible navier-stokes equations, Journal of Computational Physics, vol.85, issue.2, pp.257-283, 1989. ,
A cell-centered adaptive projection method for the 790 incompressible euler equations, Journal of computational Physics, vol.163, issue.2, pp.271-312, 2000. ,
A cell-centered adaptive projection method for the incompressible navier-stokes equations in three dimensions, Journal of Computational Physics, vol.227, issue.3, pp.1863-1886, 2008. ,
,
A conservative treatment of zonal boundaries for euler equation calculations, Journal of Computational Physics, vol.62, issue.2, pp.472-503, 1986. ,
Aspects and appli800 cations of patched grid calculations, AIAA Journal, vol.29, issue.5, pp.676-677, 1991. ,
Navier-stokes simulations for transport aircraft wing/body high-lift configurations, Journal of Aircraft, vol.40, issue.5, p.884, 2003. ,
Flux-conserving treatment of nonconformal interfaces for finite-volume discretization of conservation laws, p.810 ,
, Computers & Fluids, vol.120, pp.126-139, 2015.
Conservative handling of arbitrary non-conformal interfaces using an efficient supermesh, Journal of Computational Physics, vol.335, pp.21-49, 2017. ,
A flexible grid embedding technique, vol.815, pp.85-1523, 1985. ,
A 3-D chimera grid embedding technique, 7th Computational Physics Conference, Meeting Paper Archive, 1985. ,
Euler and navier-stokes simulations of 820 helicopter rotor blade in forward flight using an overlapped grid solver, 19th AIAA CFD Conference, 2009. ,
A zonal method for unsteady, viscous, compressible airfoil flows, Journal of Fluids and Structures, vol.8, issue.1, pp.107-123, 1994. ,
A coupled euler/navier-stokes algorithm for 2-d unsteady transonic shock/boundary-layer interaction, Tech. rep, 1989. ,
Computation of turbulent two-phase flow on overlapped grids, Nu830 merical, Heat Transfer, vol.32, issue.2, pp.175-195, 1997. ,
Navier-stokes solver for water entry bodies with moving chimera grid method in 6dof motions, Computers & Fluids, vol.140, pp.19-38, 2016. ,
A pressure-velocity coupling approach 835 for high void fraction free surface bubbly flows in overset curvilinear grids, International Journal for Numerical Methods in Fluids, vol.79, issue.7, pp.343-369, 2015. ,
Dynamic overset grids in openfoam with application to kcs self-propulsion and maneuvering, Ocean Engineering, vol.108, pp.287-306, 2015. ,
Analysis of moninobukhov similarity from large-eddy simulation, Journal of Fluid Mechanics, vol.345, pp.251-286, 1997. ,
Near stall simulation of the flow around an airfoil using zonal rans/les coupling method, A zonal grid algorithm for {DNS} of turbulent boundary layers, vol.33, pp.857-866, 2004. ,
Forecasts of typhoon irma using a nestedgrid model, Monthly Weather Review, vol.104, issue.9, pp.1154-1161, 1976. ,
Design of a movable nestedmesh primitive equation model, Monthly Weather Review, vol.107, issue.3, pp.239-249, 1979. ,
A grid nesting method for large-eddy simulation of planetary boundary-layer flows, Boundary-Layer, vol.860, issue.1, pp.167-202, 1996. ,
Numerical simulation of primary break-up and atomization: Dns and modelling study, International Journal of Multiphase Flow, vol.35, issue.3, pp.247-260, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00649748
Volume of fluid (vof) method for the dynamics of free boundaries, Journal of computational physics, vol.39, issue.1, pp.201-225, 1981. ,
, A new approach to vof-based interface capturing methods for incompressible and compressible flow
Computational fluid dynamics of dispersed two-phase flows at 870 high phase fractions, 2003. ,
Drop impact onto a liquid layer of finite thickness: Dynamics of the cavity evolution, Physical Review E, vol.79, issue.3, p.36306, 2009. ,
Solution of the implicitly discretised fluid flow equations by operator-splitting, Journal of computational physics, vol.62, issue.1, pp.40-65, 1986. ,
An extended mixture model for the simultaneous treatment of small-scale and large-scale interfaces, International Journal for Numerical Methods in Fluids, vol.75, issue.8, pp.547-574, 2014. ,
Computational methods for fluid dynamics, 2012. ,
Quantitative benchmark computations of two-dimensional bubble dynamics, International Journal for Numerical Methods in Fluids, vol.885, issue.11, pp.1259-1288, 2009. ,
Measurement of the liquid volume fraction and its statistical distribution in the near development field of a spray, Atomization and Sprays, vol.14, issue.3 ,
Numerical simulation of a single 890 rising bubble by vof with surface compression, International Journal for Numerical Methods in Fluids, vol.71, issue.8, pp.960-982, 2013. ,
Subgrid-scale stress modelling based on the square of the velocity gradient tensor, Flow, turbulence and Combustion, vol.62, pp.183-200, 1999. ,
Thermo-fluid dynamics of two-phase flow, 2010. ,
Evaluation of the interface-capturing algorithm of OpenFoam for the simulation of incompressible immiscible two-phase flow, vol.900, 2011. ,
Modélisation eulerienne de l'atomisation d'un jet liquide, Comptes Rendus de l'Académie des Sciences-Series IIB-MechanicsPhysics-Astronomy, vol.327, issue.10, pp.1015-1020, 1999. ,
An extended mixture model for the simultaneous treatment 905 of short and long scale interfaces, Dissertationsschrift, Universidad Nacional del Litoral, Nuclear Engineering and Design, vol.238, issue.7, pp.1690-1702, 2008. ,