, , p.79
, Reconstruction of the distribution functions at the free-surface
,
,
103 4.7.2 A new distribution method for the distribution functions at the free-surface ,
,
Derivation of the lattice boltzmann method by means of the discrete ordinate method for the boltzmann equation, Journal of Computational Physics, vol.131, issue.1, pp.241-246, 1997. ,
Simulating fast electron beam melting with a parallel thermal free surface lattice boltzmann method, Computers & Mathematics with Applications, vol.67, issue.2, pp.318-330, 2014. ,
Free surface lattice boltzmann with enhanced bubble model, Computers & Mathematics with Applications, vol.67, issue.2, pp.331-339, 2014. ,
Entropic lattice boltzmann method for microflows, Physica A: Statistical Mechanics and its Applications, vol.359, pp.289-305, 2006. ,
Single relaxation time model for entropic lattice boltzmann methods, Physical Review E, vol.65, issue.5, p.56312, 2002. ,
Lattice boltzmann method for dynamic wetting problems, Journal of colloid and interface science, vol.335, issue.1, pp.84-93, 2009. ,
Lattice boltzmann model for thermal free surface flows with liquid-solid phase transition, International Journal of Heat and Fluid Flow, vol.32, issue.1, pp.156-163, 2011. ,
Lattice boltzmann equation model for multicomponent multi-phase flow with high density ratios, Applied Mathematical Modelling, vol.37, issue.4, pp.1860-1871, 2013. ,
Defect generation and propagation mechanism during additive manufacturing by selective beam melting, Journal of Materials Processing Technology, vol.214, issue.11, pp.2522-2528, 2014. ,
Hydrodynamic behavior of lattice boltzmann and lattice bhatnagar-gross-krook models, Physical Review E, vol.50, issue.6, p.4586, 1994. ,
The lattice boltzmann equation: theory and applications, Physics Reports, vol.222, issue.3, pp.145-197, 1992. ,
A model for collision processes in gases. i. small amplitude processes in charged and neutral one-component systems, Physical review, vol.94, issue.3, p.511, 1954. ,
Galilean-invariant lattice-boltzmann models with h theorem, Physical Review E, vol.68, issue.2, p.25103, 2003. ,
Boundary conditions for free interfaces with the lattice boltzmann method, Journal of Computational Physics, vol.297, pp.1-12, 2015. ,
Direct simulation of liquidgas-solid flow with a free surface lattice boltzmann method, International Journal of Computational Fluid Dynamics, vol.31, issue.10, pp.463-475, 2017. ,
Simulation of floating bodies with the lattice boltzmann method, Computers & Mathematics with Applications, vol.65, issue.6, pp.901-913, 2013. ,
Curvature estimation from a volume-of-fluid indicator function for the simulation of surface tension and wetting with a free-surface lattice boltzmann method, Physical Review E, vol.93, issue.4, p.43302, 2016. ,
Benchmark spectral results on the lid-driven cavity flow, Computers & Fluids, vol.27, issue.4, pp.421-433, 1998. ,
Momentum transfer of a boltzmann-lattice fluid with boundaries, Physics of fluids, vol.13, issue.11, pp.3452-3459, 2001. ,
Lattice boltzmann simulations of contact line motion. i. liquid-gas systems, Physical Review E, vol.69, issue.3, p.31602, 2004. ,
Hermite regularization of the lattice boltzmann method for open source computational aeroacoustics, The Journal of the Acoustical Society of America, vol.142, issue.4, pp.2332-2345, 2017. ,
Physical symmetry and lattice symmetry in the lattice boltzmann method, Physical Review E, vol.55, issue.1, p.21, 1997. ,
Volumetric formulation of the lattice boltzmann method for fluid dynamics: Basic concept, Physical Review E, vol.58, issue.3, p.3955, 1998. ,
Recovery of the navier-stokes equations using a lattice-gas boltzmann method. Physical Review A, vol.45, p.5339, 1992. ,
A critical review of the pseudopotential multiphase lattice boltzmann model: Methods and applications, International Journal of Heat and Mass Transfer, vol.76, pp.210-236, 2014. ,
Lattice boltzmann method for fluid flows. Annual review of fluid mechanics, vol.30, pp.329-364, 1998. ,
Lattice boltzmann computational fluid dynamics in three dimensions, Journal of Statistical Physics, vol.68, issue.3-4, pp.379-400, 1992. ,
Simulation of bubble-bubble interaction using a lattice boltzmann method, Computers & Fluids, vol.39, issue.2, pp.260-270, 2010. ,
Entropic lattice boltzmann models for hydrodynamics in three dimensions, Physical review letters, vol.97, issue.1, p.10201, 2006. ,
Entropic lattice boltzmann method for multiphase flows, Physical review letters, vol.114, issue.17, p.174502, 2015. ,
Theoretical analysis and numerical verification of the consistency of viscous smoothed-particle-hydrodynamics formulations in simulating freesurface flows, Physical Review E, vol.84, issue.2, p.26705, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-01161493
Is gpu the future of scientific computing? ,
URL : https://hal.archives-ouvertes.fr/hal-00780565
, Annales mathématiques Blaise Pascal, vol.20, pp.75-99, 2013.
Bulk and shear viscosities in lattice boltzmann equations, Physical Review E, vol.64, issue.3, p.31203, 2001. ,
An interpretation and derivation of the lattice boltzmann method using strang splitting, Computers & Mathematics with Applications, vol.65, issue.2, pp.129-141, 2013. ,
Generalized lattice-boltzmann equations, 1992. ,
Multiple-relaxation-time lattice boltzmann models in three dimensions, Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol.360, pp.437-451, 1792. ,
Lattice gas models for 3d hydrodynamics, Europhysics Letters), vol.2, issue.4, p.291, 1986. ,
Lattice boltzmann schemes with relative velocities, Communications in Computational Physics, vol.17, issue.4, pp.1088-1112, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-00917241
Phase-field modeling by the method of lattice boltzmann equations, Physical Review E, vol.81, issue.3, p.36707, 2010. ,
Lattice boltzmann methods for multiphase flow simulations across scales, Communications in Computational Physics, vol.9, issue.2, pp.269-296, 2011. ,
Extended volumetric scheme for lattice boltzmann models, Physical Review E, vol.73, issue.6, p.66708, 2006. ,
A lattice boltzmannimmersed boundary method to simulate the fluid interaction with moving and slender flexible objects, Journal of Computational Physics, vol.261, pp.145-161, 2014. ,
Grid refinement for lattice-bgk models, Journal of Computational physics, vol.147, issue.1, pp.219-228, 1998. ,
Lattice gas hydrodynamics in two and three dimensions ,
, , vol.75, 1986.
Lattice-gas automata for the navier-stokes equation, Physical review letters, vol.56, issue.14, p.1505, 1986. ,
Cascaded digital lattice boltzmann automata for high reynolds number flow, Physical Review E, vol.73, issue.6, p.66705, 2006. ,
High-re solutions for incompressible flow using the navier-stokes equations and a multigrid method, Journal of computational physics, vol.48, issue.3, pp.387-411, 1982. ,
Smoothed particle hydrodynamics: theory and application to non-spherical stars, Monthly notices of the royal astronomical society, vol.181, issue.3, pp.375-389, 1977. ,
Local second-order boundary methods for lattice boltzmann models, Journal of Statistical Physics, vol.84, issue.5-6, pp.927-971, 1996. ,
A free-surface lattice boltzmann method for modelling the filling of expanding cavities by bingham fluids, Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol.360, pp.453-466, 1792. ,
Equilibrium-type and link-type lattice boltzmann models for generic advection and anisotropic-dispersion equation, Advances in water resources, vol.28, issue.11, pp.1171-1195, 2005. ,
Generic boundary conditions for lattice boltzmann models and their application to advection and anisotropic dispersion equations, Advances in Water Resources, vol.28, issue.11, pp.1196-1216, 2005. ,
Variably saturated flow described with the anisotropic lattice boltzmann methods, Computers & fluids, vol.35, issue.8-9, p.127, 2006. ,
Lattice boltzmann modeling with discontinuous collision components: Hydrodynamic and advection-diffusion equations, Journal of Statistical Physics, vol.126, issue.1, pp.157-206, 2007. ,
Multireflection boundary conditions for lattice boltzmann models, Physical Review E, vol.68, issue.6, p.66614, 2003. ,
Lattice boltzmann model for free-surface flow and its application to filling process in casting, Journal of Computational Physics, vol.185, issue.1, pp.61-99, 2003. ,
Tworelaxation-time lattice boltzmann scheme: About parametrization, velocity, pressure and mixed boundary conditions, Communications in computational physics, vol.3, issue.2, pp.427-478, 2008. ,
A lattice boltzmann model for multiphase fluid flows, Physics of Fluids A: Fluid Dynamics, vol.5, issue.10, pp.2557-2562, 1993. ,
Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows, Journal of Computational physics, vol.152, issue.2, pp.423-456, 1999. ,
Lattice boltzmann model of immiscible fluids, Physical Review A, vol.43, issue.8, p.4320, 1991. ,
Lattice Boltzmann method and its applications in engineering, World Scientific, vol.3, 2013. ,
Discrete lattice effects on the forcing term in the lattice boltzmann method, Physical Review E, vol.65, issue.4, p.46308, 2002. ,
Molecular dynamics of a classical lattice gas: Transport properties and time correlation functions, Physical review A, vol.13, issue.5, p.1949, 1976. ,
Time evolution of a twodimensional model system. i. invariant states and time correlation functions, Journal of Mathematical Physics, vol.14, issue.12, pp.1746-1759, 1973. ,
A novel thermal model for the lattice boltzmann method in incompressible limit, Journal of Computational Physics, vol.146, issue.1, pp.282-300, 1998. ,
A lattice boltzmann scheme for incompressible multiphase flow and its application in simulation of rayleightaylor instability, Journal of Computational Physics, vol.152, issue.2, pp.642-663, 1999. ,
Lattice boltzmann model for the incompressible navier-stokes equation, Journal of statistical Physics, vol.88, issue.3-4, pp.927-944, 1997. ,
A priori derivation of the lattice boltzmann equation, Physical Review E, vol.55, issue.6, p.6333, 1997. ,
Theory of the lattice boltzmann method: From the boltzmann equation to the lattice boltzmann equation, Physical Review E, vol.56, issue.6, p.6811, 1997. ,
Discrete boltzmann equation model for nonideal gases, Physical Review E, vol.57, issue.1, p.13, 1998. ,
On the threedimensional rayleigh-taylor instability, Physics of Fluids, vol.11, issue.5, pp.1143-1152, 1999. ,
Analytic solutions of simple flows and analysis of nonslip boundary conditions for the lattice boltzmann bgk model, Journal of Statistical Physics, vol.87, issue.1-2, pp.115-136, 1997. ,
Boltzmann approach to lattice gas simulations, Europhysics Letters), vol.9, issue.7, p.663, 1989. ,
A lattice boltzmann subgrid model for high reynolds number flows, 1994. ,
Forcing term in singlephase and shan-chen-type multiphase lattice boltzmann models, Physical Review E, vol.84, issue.4, p.46710, 2011. ,
, Kerson Huang. Statistical mechanics, 1987.
, Meshfree methods. Encyclopedia of Computational Mechanics Second Edition, pp.1-38, 2018.
Free surface entropic lattice boltzmann simulations of film condensation on vertical hydrophilic plates, International Journal of Heat and Mass Transfer, vol.87, pp.576-582, 2015. ,
A galilean invariant model of the lattice boltzmann method for multiphase fluid flows using free-energy approach, Computer physics communications, vol.129, issue.1-3, pp.32-45, 2000. ,
A lattice boltzmann method for incompressible two-phase flows with large density differences, Journal of Computational physics, vol.198, issue.2, pp.628-644, 2004. ,
An improved lattice boltzmann method for incompressible two-phase flows with large density differences, Computers & Fluids, vol.137, pp.55-69, 2016. ,
Application of regularized lattice boltzmann method for incompressible flow simulation at high reynolds number and flow with curved boundary, Journal of Fluid Science and Technology, vol.6, issue.6, pp.812-822, 2011. ,
Calculation of two-phase navier-stokes flows using phasefield modeling, Journal of Computational Physics, vol.155, issue.1, pp.96-127, 1999. ,
A lattice boltzmann approach for free-surface-flow simulations on non-uniform block-structured grids, Computers & Mathematics with Applications, vol.59, issue.7, pp.2215-2235, 2010. ,
Galilean-invariant latticeboltzmann simulation of liquid-vapor interface dynamics, Physical review e, vol.65, issue.5, p.56702, 2002. ,
Perfect entropy functions of the lattice boltzmann method, Europhysics Letters), vol.47, issue.2, p.182, 1999. ,
Maximum entropy principle for lattice kinetic equations, Physical Review Letters, vol.81, issue.1, p.6, 1998. ,
Equilibria for discrete kinetic equations, Physical Review E, vol.58, issue.4, p.4053, 1998. ,
Gibbs' principle for the lattice-kinetic theory of fluid dynamics, Physical Review E, vol.90, issue.3, p.31302, 2014. ,
A simple lattice boltzmann scheme for navier-stokes fluid flow, Europhysics Letters), vol.15, issue.6, p.603, 1991. ,
Foam formation mechanisms in particle suspensions applied to metal foams, Materials Science and Engineering: A, vol.495, issue.1-2, pp.227-235, 2008. ,
Mesoscopic simulation of selective beam melting processes, Journal of Materials Processing Technology, vol.211, issue.6, pp.978-987, 2011. ,
Fundamental consolidation mechanisms during selective beam melting of powders. Modelling and Simulation in, Materials Science and Engineering, vol.21, issue.8, p.85011, 2013. ,
Lattice boltzmann model for free surface flow for modeling foaming, Journal of Statistical Physics, vol.121, issue.1-2, pp.179-196, 2005. ,
Moving-particle semi-implicit method for fragmentation of incompressible fluid, Nuclear science and engineering, vol.123, issue.3, pp.421-434, 1996. ,
Large-eddy simulations with a multiple-relaxation-time lbe model, International Journal of Modern Physics B, vol.17, issue.01n02, pp.33-39, 2003. ,
On equations of state in a lattice boltzmann method, Computers & Mathematics with Applications, vol.58, issue.5, pp.965-974, 2009. ,
Multi-relaxation time lattice boltzmann model for multiphase flows, International Journal of Modern Physics C, vol.19, issue.06, pp.875-902, 2008. ,
Theory of the lattice boltzmann method: Dispersion, dissipation, isotropy, galilean invariance, and stability, Physical Review E, vol.61, issue.6, p.6546, 2000. ,
Lattice boltzmann method with regularized non-equilibrium distribution functions, 2005. ,
Lattice boltzmann method with regularized pre-collision distribution functions, Mathematics and Computers in Simulation, vol.72, issue.2-6, pp.165-168, 2006. ,
Orestis Malaspinas, Michel Deville, and Andreas Michler. Straight velocity boundaries in the lattice boltzmann method, Physical Review E, vol.77, issue.5, p.56703, 2008. ,
Diffusion properties of gradientbased lattice boltzmann models of immiscible fluids, Physical Review E, vol.71, issue.5, p.56702, 2005. ,
Isotropic color gradient for simulating very high-density ratios with a two-phase flow lattice boltzmann model, Computers & Fluids, vol.48, issue.1, pp.98-112, 2011. ,
Numerical evaluation of two recoloring operators for an immiscible two-phase flow lattice boltzmann model, Applied Mathematical Modelling, vol.36, issue.5, pp.2237-2252, 2012. ,
Pressure evolution lattice-boltzmannequation method for two-phase flow with phase change, Physical Review E, vol.67, issue.5, p.56703, 2003. ,
A stable discretization of the lattice boltzmann equation for simulation of incompressible two-phase flows at high density ratio, Journal of Computational Physics, vol.206, issue.1, pp.16-47, 2005. ,
Lattice boltzmann simulations of micron-scale drop impact on dry surfaces, Journal of Computational Physics, vol.229, issue.20, pp.8045-8063, 2010. ,
Forcing scheme in pseudopotential lattice boltzmann model for multiphase flows, Physical Review E, vol.86, issue.1, p.16709, 2012. ,
Lattice boltzmann methods for multiphase flow and phase-change heat transfer, Progress in Energy and Combustion Science, vol.52, pp.62-105, 2016. ,
Numerical study of flow past an impulsively started cylinder by the lattice-boltzmann method, Journal of Fluid Mechanics, vol.519, pp.273-300, 2004. ,
A synthesis of numerical methods for modeling wave energy converter-point absorbers, Renewable and Sustainable Energy Reviews, vol.16, issue.6, pp.4352-4364, 2012. ,
On the coupling of a direct-forcing immersed boundary method and the regularized lattice boltzmann method for fluid-structure interaction ,
URL : https://hal.archives-ouvertes.fr/hal-02280690
An immersed boundary-lattice boltzmann method for single-and multi-component fluid flows, Journal of Computational Physics, vol.304, pp.424-440, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01225681
The lattice-gas and lattice boltzmann methods: past, present, and future, 2000. ,
Waves in fluids, 2001. ,
Application of lattice boltzmann method to simulate microchannel flows, Physics of fluids, vol.14, issue.7, pp.2299-2308, 2002. ,
Wind-driven ocean circulation in shallow water lattice boltzmann model, Advances in Atmospheric Sciences, vol.22, issue.3, pp.349-358, 2005. ,
Lattice boltzmann algorithm for surface tension with greatly reduced microcurrents, Physical review E, vol.67, issue.3, p.36701, 2003. ,
Multi-block lattice boltzmann simulations of subcritical flow in open channel junctions, Computers & Fluids, vol.38, issue.6, pp.1108-1117, 2009. ,
Multiphase lattice boltzmann simulations for porous media applications, Computational Geosciences, vol.20, issue.4, pp.777-805, 2016. ,
Experimental investigation of dynamic pressure loads during dam break, Journal of Fluids and Structures, vol.48, pp.407-434, 2014. ,
Immersed boundary lattice boltzmann model based on multiple relaxation times, Physical Review E, vol.85, issue.1, p.16711, 2012. ,
Unified theory of lattice boltzmann models for nonideal gases, Physical review letters, vol.81, issue.8, p.1618, 1998. ,
Numerics of the lattice boltzmann method: Effects of collision models on the lattice boltzmann simulations, Physical Review E, vol.83, issue.5, p.56710, 2011. ,
Multiphase cascaded lattice boltzmann method, Computers & Mathematics with Applications, vol.67, issue.2, pp.350-362, 2014. ,
, Orestis Malaspinas. Increasing stability and accuracy of the lattice boltzmann scheme: recursivity and regularization, 2015.
?-sph model for simulating violent impact flows, Computer Methods in Applied Mechanics and Engineering, pp.1526-1542, 2011. ,
Analysis of free-surface flows through energy considerations: Single-phase versus two-phase modeling, Physical Review E, vol.93, issue.5, p.53113, 2016. ,
Evaluation of the external force term in the discrete boltzmann equation, Physical Review E, vol.58, issue.5, p.6855, 1998. ,
Challenges in simulation of aerodynamics, hydrodynamics, and mooring-line dynamics of floating offshore wind turbines. Technical report, 2011. ,
Use of the boltzmann equation to simulate lattice-gas automata, Physical review letters, vol.61, issue.20, p.2332, 1988. ,
An accurate curved boundary treatment in the lattice boltzmann method, Journal of computational physics, vol.155, issue.2, pp.307-330, 1999. ,
Regularized lattice bhatnagar-gross-krook model for two-and three-dimensional cavity flow simulations, Physical Review E, vol.89, issue.5, p.53317, 2014. ,
A pressure-evolution-based multirelaxation-time high-density-ratio two-phase lattice-boltzmann model. Computers & fluids, vol.36, pp.1149-1158, 2007. ,
A continuum and molecular dynamics hybrid method for micro-and nano-fluid flow, Journal of Fluid Mechanics, vol.500, pp.55-64, 2004. ,
Investigation of stability and hydrodynamics of different lattice boltzmann models, Journal of statistical physics, vol.117, issue.3-4, pp.665-680, 2004. ,
Kinetic lattice boltzmann method for microscale gas flows: issues on boundary condition, relaxation time, and regularization, Physical review E, vol.76, issue.3, p.36711, 2007. ,
Eliminating spurious velocities in the free-energy lattice boltzmann method, Physical Review E, vol.77, issue.4, p.46702, 2008. ,
Lattice bgk models for navier-stokes equation, Europhysics Letters), vol.17, issue.6, p.479, 1992. ,
Fractional propagation and the elimination of staggered invariants in lattice-bgk models, International journal of modern physics C, vol.8, issue.04, pp.753-761, 1997. ,
Recent advances in lattice boltzmann computing, Annual reviews of computational physics III, pp.195-242, 1995. ,
Accuracy of discrete-velocity bgk models for the simulation of the incompressible navier-stokes equations, Computers & fluids, vol.24, issue.4, pp.459-467, 1995. ,
Lattice boltzmann model for simulating immiscible two-phase flows, Journal of Physics A: Mathematical and Theoretical, vol.40, issue.14, p.4033, 2007. ,
Lattice boltzmann method with selective viscosity filter, Journal of Computational Physics, vol.228, issue.12, pp.4478-4490, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00461449
Development of a lattice boltzmann method for two-layered shallow-water flow, International Journal for Numerical Methods in Fluids, vol.70, issue.8, pp.1048-1072, 2012. ,
Immiscible cellular-automaton fluids, Journal of Statistical Physics, vol.52, issue.3-4, pp.1119-1127, 1988. ,
Free surface lattice-boltzmann fluid simulations with and without level sets, Proceedings of Vision, Modeling and Visualization, pp.199-208, 2004. ,
The lattice boltzmann method as a basis for ocean circulation modeling, Journal of Marine Research, vol.57, issue.3, pp.503-535, 1999. ,
Lattice boltzmann solutions of the three-dimensional planetary geostrophic equations, Journal of Marine Research, vol.57, issue.6, pp.847-884, 1999. ,
Generalized lattice boltzmann method with multirange pseudopotential, Physical Review E, vol.75, issue.2, p.26702, 2007. ,
Level set methods and fast marching methods: evolving interfaces in computational geometry, fluid mechanics, computer vision, and materials science, vol.3, 1999. ,
Analysis and reduction of the spurious current in a class of multiphase lattice boltzmann models, Physical Review E, vol.73, issue.4, p.47701, 2006. ,
Lattice boltzmann model for simulating flows with multiple phases and components, Physical Review E, vol.47, issue.3, p.1815, 1993. ,
Simulation of nonideal gases and liquidgas phase transitions by the lattice boltzmann equation, Physical Review E, vol.49, issue.4, p.2941, 1994. ,
A general multiple-relaxation-time boltzmann collision model, International Journal of Modern Physics C, vol.18, issue.04, pp.635-643, 2007. ,
Discretization of the velocity space in the solution of the boltzmann equation, Physical Review Letters, vol.80, issue.1, p.65, 1998. ,
Kinetic theory representation of hydrodynamics: a way beyond the navier-stokes equation, Journal of Fluid Mechanics, vol.550, pp.413-441, 2006. ,
A lattice boltzmann method for simulation of a three-dimensional drop impact on a liquid film, Journal of Hydrodynamics, vol.20, issue.3, pp.267-272, 2008. ,
General circulation experiments with the primitive equations: I. the basic experiment, Monthly weather review, vol.91, issue.3, pp.99-164, 1963. ,
Stability analysis of lattice boltzmann methods, Journal of Computational Physics, vol.123, issue.1, pp.196-206, 1996. ,
Lattice boltzmann 2038, Europhysics Letters), vol.109, issue.5, p.50001, 2015. ,
Lattice boltzmann beyond navier-stokes: Where do we stand, AIP Conference Proceedings, vol.1786, p.30001, 2016. ,
Evaluation of force implementation in pseudopotential-based multiphase lattice boltzmann models, Physica A: Statistical Mechanics and its Applications, vol.391, issue.15, pp.3895-3907, 2012. ,
Lattice boltzmann simulations of liquid-gas and binary fluid systems, Physical Review E, vol.54, issue.5, p.5041, 1996. ,
Lattice boltzmann simulation of nonideal fluids, Physical review letters, vol.75, issue.5, p.830, 1995. ,
Simulation of bubble motion under gravity by lattice boltzmann method, vol.38, pp.330-341, 2001. ,
Adjoint lattice boltzmann equation for parameter identification, Computers & fluids, vol.35, issue.8-9, pp.805-813, 2006. ,
Lattice boltzmann methods for shallow water flow applications, International Journal for Numerical Methods in Fluids, vol.55, issue.7, pp.673-692, 2007. ,
Detail-preserving fluid control, Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation, pp.7-12, 2006. ,
Interactive free surface fluids with the lattice boltzmann method, 2005. ,
Optimization and stabilization of lbm free surface flow simulations using adaptive parameterization, Computers & fluids, vol.35, issue.8-9, pp.934-939, 2006. ,
Stable free surface flows with the lattice boltzmann method on adaptively coarsened grids, Computing and Visualization in Science, vol.12, issue.5, pp.247-263, 2009. ,
Animation of open water phenomena with coupled shallow water and free surface simulations, Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation, pp.157-164, 2006. ,
Lattice boltzmann simulations of binary fluid flow through porous media, Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol.360, pp.535-545, 1792. ,
An h-theorem for the lattice boltzmann approach to hydrodynamics, Europhysics Letters), vol.44, issue.2, p.144, 1998. ,
The origin of spurious velocities in lattice boltzmann, International Journal of Modern Physics B, vol.17, issue.01n02, pp.193-196, 2003. ,
Multiphase lattice boltzmann flux solver for incompressible multiphase flows with large density ratio, Journal of Computational Physics, vol.280, pp.404-423, 2015. ,
Stability of lattice boltzmann methods in hydrodynamic regimes, Physical Review E, vol.56, issue.2, p.2243, 1997. ,
Lattice boltzmann-based single-phase method for free surface tracking of droplet motions. International journal for numerical methods in fluids, vol.53, pp.333-351, 2007. ,
A lattice boltzmann method for incompressible twophase flows on partial wetting surface with large density ratio, Journal of Computational Physics, vol.227, issue.1, pp.763-775, 2007. ,
Nonexistence of h theorems for the athermal lattice boltzmann models with polynomial equilibria, Physical Review E, vol.67, issue.5, p.51105, 2003. ,
Time-dependent multi-material flow with large fluid distortion. Numerical methods for fluid dynamics, 1982. ,
Les of turbulent square jet flow using an mrt lattice boltzmann model, Computers & Fluids, vol.35, issue.8-9, pp.957-965, 2006. ,
Multirelaxation-time interaction-potentialbased lattice boltzmann model for two-phase flow, Physical Review E, vol.82, issue.4, p.46708, 2010. ,
Equations of state in a lattice boltzmann model, Physics of Fluids, vol.18, issue.4, p.42101, 2006. ,
A bottom-up approach to non-ideal fluids in the lattice boltzmann method, Europhysics Letters), vol.81, issue.6, p.66005, 2008. ,
Effective volumetric lattice boltzmann scheme, Physical review E, vol.63, issue.5, p.56705, 2001. ,
Efficient kinetic method for fluid simulation beyond the navier-stokes equation, Physical Review E, vol.74, issue.4, p.46703, 2006. ,
A lattice boltzmann method for viscous free surface waves in two dimensions, International Journal for Numerical Methods in Fluids, vol.71, issue.2, pp.223-248, 2013. ,
A lattice boltzmann model for multiphase flows with large density ratio, Journal of Computational Physics, vol.218, issue.1, pp.353-371, 2006. ,
A lattice boltzmann model for the shallow water equations. Computer methods in applied mechanics and engineering, vol.191, pp.3527-3539, 2002. ,