We formulate a lattice Boltzmann model which simulates Korteweg-de Vries equation by using a method of higher moments of lattice Boltzmann equation.Using a series of lattice Boltzmann equations in different time scale...We formulate a lattice Boltzmann model which simulates Korteweg-de Vries equation by using a method of higher moments of lattice Boltzmann equation.Using a series of lattice Boltzmann equations in different time scales and the conservation law in time scale t0,we obtain equilibrium distribution function.The numerical examples show that the method can be used to simulate soliton.展开更多
基金Supported by the Foundation of the Laboratory for Nonlinear Mechanics of Continuous Media,Institute of Mechanics,Chinese Academy of Sciences.
文摘We formulate a lattice Boltzmann model which simulates Korteweg-de Vries equation by using a method of higher moments of lattice Boltzmann equation.Using a series of lattice Boltzmann equations in different time scales and the conservation law in time scale t0,we obtain equilibrium distribution function.The numerical examples show that the method can be used to simulate soliton.
