A Novel Lattice Boltzmann Model for Fourth Order Nonlinear Partial Differential Equations

[1]  Cor J. Peters,et al.  Modeling of the surface tension of pure components and mixtures using the density gradient theory combined with a theoretically derived influence parameter correlation , 2012 .

[2]  Shi Bao-Chang,et al.  A lattice Bhatnagar-Gross-Krook model for a class of the generalized Burgers equations * , 2006 .

[3]  Junseok Kim Phase-Field Models for Multi-Component Fluid Flows , 2012 .

[4]  Yan Wang,et al.  Multiphase lattice Boltzmann flux solver for incompressible multiphase flows with large density ratio , 2015, J. Comput. Phys..

[5]  Lina Ye,et al.  Numerical Method Based on the Lattice Boltzmann Model for the Kuramoto-Sivashinsky Equation , 2011, J. Sci. Comput..

[6]  Zhonghua Qiao,et al.  An Adaptive Time-Stepping Strategy for the Cahn-Hilliard Equation , 2012 .

[7]  D. M. Anderson,et al.  DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS , 1997 .

[8]  Changfeng Ma,et al.  Lattice Boltzmann method for the generalized Kuramoto–Sivashinsky equation , 2009 .

[9]  Pao-Hsiung Chiu,et al.  A conservative phase field method for solving incompressible two-phase flows , 2011, J. Comput. Phys..

[10]  Zhenhua Chai,et al.  A Multiple-Relaxation-Time Lattice Boltzmann Model for General Nonlinear Anisotropic Convection–Diffusion Equations , 2016, J. Sci. Comput..

[11]  Guangwu Yan,et al.  A higher-order moment method of the lattice Boltzmann model for the Korteweg-de Vries equation , 2009, Math. Comput. Simul..

[12]  Bruce D. Jones,et al.  Multiphase lattice Boltzmann simulations for porous media applications , 2014, Computational Geosciences.

[13]  Samuel M. Allen,et al.  Mechanisms of phase transformations within the miscibility gap of Fe-rich Fe-Al alloys , 1976 .

[14]  Chen Lin-Jie,et al.  A lattice Boltzmann model with an amending function for simulating nonlinear partial differential equations , 2010 .

[15]  C. Shu,et al.  Lattice Boltzmann Method and Its Applications in Engineering , 2013 .

[16]  Cyrus K. Aidun,et al.  Lattice-Boltzmann Method for Complex Flows , 2010 .

[17]  Y. Wang,et al.  A mass-conserved diffuse interface method and its application for incompressible multiphase flows with large density ratio , 2015, J. Comput. Phys..

[18]  Ching-Long Lin,et al.  A stable discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio , 2005 .

[19]  J. E. Hilliard,et al.  Free Energy of a Nonuniform System. I. Interfacial Free Energy , 1958 .

[20]  K. Luo,et al.  Lattice Boltzmann methods for multiphase flow and phase-change heat transfer , 2015, 1508.00940.

[21]  Shuyu Sun,et al.  Unconditionally stable methods for simulating multi-component two-phase interface models with Peng-Robinson equation of state and various boundary conditions , 2016, J. Comput. Appl. Math..

[22]  Yang Guangwu A Lattice Boltzmann Equation for Waves , 2000 .

[23]  Zhenhua Chai,et al.  A unified lattice Boltzmann model for some nonlinear partial differential equations , 2008 .

[24]  Lili Ju,et al.  Unconditionally Energy Stable Linear Schemes for the Diffuse Interface Model with Peng–Robinson Equation of State , 2018, J. Sci. Comput..

[25]  Shuyu Sun,et al.  Two-Phase Fluid Simulation Using a Diffuse Interface Model with Peng-Robinson Equation of State , 2014, SIAM J. Sci. Comput..

[26]  Shiyi Chen,et al.  LATTICE BOLTZMANN METHOD FOR FLUID FLOWS , 2001 .

[27]  Li Chen,et al.  Pore-scale simulation of multicomponent multiphase reactive transport with dissolution and precipitation , 2015 .