Accelerated Lattice Boltzmann Schemes for Steady-State Flow Simulations
Journal of Scientific Computing
Truncation error analysis of lattice Boltzmann methods
Journal of Computational Physics
Three-dimensional multi-relaxation time (MRT) lattice-Boltzmann models for multiphase flow
Journal of Computational Physics
Lattice Boltzmann model for two-dimensional unsteady Burgers' equation
Journal of Computational and Applied Mathematics
Journal of Computational Physics
A higher-order moment method of the lattice Boltzmann model for the Korteweg-de Vries equation
Mathematics and Computers in Simulation
Modeling electrokinetic flows in microchannels using coupled lattice Boltzmann methods
Journal of Computational Physics
Observable state space realizations for multivariable systems
Computers & Mathematics with Applications
Modeling and model predictive control of a nonlinear hydraulic system
Computers & Mathematics with Applications
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In this paper, we propose a steady-state lattice Boltzmann equation which is independent of time for steady incompressible flows. On the basis of the steady-state lattice Boltzmann equation, we find a way of modeling some steady-state problems using the lattice Boltzmann model. In further study, we investigate steady-state incompressible flows with the method of the higher-order moment of equilibrium distribution functions and a series of partial differential equations for different space scales. By assuming @r=constant, we obtain the momentum equation for incompressible steady-state flow. The numerical results show that the new method is effective.