抄録
The application of the lattice BGK Poisson solver to the quenched KPZ (QKPZ) equation, which describes fluid interfaces in porous media, is presented. The lattice BGK QKPZ solver is the new convenient tool for studying growing interfaces by numerical simulations. Using this new solver in 1+1 dimensions, we confirm the existence of two universality classes by introducing some assumptions to the QKPZ nonlinear term and discuss the third universality class for the QKPZ equation depending on the QKPZ nonlinearity. We also compare our simulations with experimental results, showing that our QKPZ solver can be applied to analyze and predict growth phenomena in porous media. The lattice BGK method has many applications in numerical simulations of various types of fluid flows such as the fluid growth in disordered media.
