Lattice Boltzmann Equation Research Papers (original) (raw)

The derivation,of the quantum,lattice Boltzmann,model,is reviewed,with special emphasis on recent developments of the model, namely, the extension to a multi-dimensional formulation,and the application to the computation,of the ground... more

The derivation,of the quantum,lattice Boltzmann,model,is reviewed,with special emphasis on recent developments of the model, namely, the extension to a multi-dimensional formulation,and the application to the computation,of the ground state of the Gross-Pitaevskii equation,(GPE). Numerical,results for the linear and non- linear Schr¨odinger,equation,and,for the ground,state solution of the GPE are also presented,and validated,against analytical results or other classical schemes,such as Crank-Nicholson. PACS: 02.70.-c, 03.65-w, 03.67.Lx Key words: Quantum lattice Boltzmann, multi-dimensions, imaginary-time model, linear and