Introduction to self adaptive mesh
The adaptive grid method, or AMR for short, was first proposed by Berger and Oliger in 1984. It is a new method for numerically generating grids by solving boundary value problems of elliptic equations. It is a very effective tool for finding numerical solutions of partial differential equations in an area of arbitrary shape. This method discards the equidistant differential grid and replaces it with a curve grid that can automatically adapt to the uneven density of the features of the solution in the study. For example, the calculation grid on the boundary coincides with the actual boundary, and the density of the grid points can be adjusted arbitrarily within the area.