15- https://doi.org/10.1007/978-3-540-72584-8_108
Lattice Boltzmann Simulation of Some Nonlinear Complex Equations
- Jan 1, 2007
- Baochang Shi
Abstract
In this paper, the lattice Boltzmann method for convection-diffusion equation with source term is applied directly to solve some important nonlinear complex equations, including nonlinear Schrödinger (NLS) equation, coupled NLS equations, Klein-Gordon equation and coupled Klein-Gordon-Schrödinger equations, by using complex-valued distribution function and relaxation time. Detailed simulations of these equations are carried out. Numerical results agree well with the analytical solutions, which show that the lattice Boltzmann method is an effective numerical solver for complex nonlinear systems.
- # Coupled Nonlinear Schrödinger Equations
- # Nonlinear Complex Equations
- # Lattice Boltzmann
- # Klein-Gordon Equation
- # Nonlinear Schrödinger
- # Source Term
- # Relaxation Time
- # Nonlinear Equations
- # Distribution Relaxation Time
- # Solver For Systems
