Lattice Boltzmann computations and applications to physics
Theoretical Computer Science - Special issue: cellular automata
A Lattice Boltzmann equation for waves
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
A higher-order moment method of the lattice Boltzmann model for the Korteweg-de Vries equation
Mathematics and Computers in Simulation
Elastic property of multiphase composites with random microstructures
Journal of Computational Physics
Numerical Method Based on the Lattice Boltzmann Model for the Kuramoto-Sivashinsky Equation
Journal of Scientific Computing
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In this paper, a lattice Boltzmann model for solving problems of elastic thin plate with small deflection is proposed. In order to recover the Sophie-Germain equation for elastic thin plate by lattice Boltzmann method, we transform the equation into a set of Poisson equations. Two sets of distribution functions are employed in the lattice Boltzmann equation to recover the Poisson equations. Based on this model, some problems on the rectangular elastic thin plate with small deflection are simulated. The comparisons between the numerical results and the analysis solutions are given in detail. The numerical examples show that the lattice Boltzmann model can be used to solve problems of the elastic thin plate with small deflection.