Affiliation:
1. Institute of Computational Mathematics and Mathematical Geophysics , Russian Academy of Sciences , Novosibirsk , Russia
Abstract
Abstract
The global random walk on grid method (GRWG) is developed for solving two-dimensional nonlinear systems of equations, the Navier–Stokes and Burgers equations.
This study extends the GRWG which we have earlier developed for solving the nonlinear drift-diffusion-Poisson equation of semiconductors (Physica A
556 (2020), Article ID 124800).
The Burgers equation is solved by a direct iteration of a system of linear drift-diffusion equations, while the Navier–Stokes equation is solved in the stream function-vorticity formulation.
Funder
Russian Science Foundation
Russian Foundation for Basic Research
Subject
Applied Mathematics,Statistics and Probability