For the finite difference method with compact approximations, a procedure for using moving curvilinear grids that are adaptive to the solution is described. In analysing the method, attention is mainly paid to the geometric conservation laws. The efficiency of the approach and greater effectiveness of the use of adaptive grids as compared with uniform grids are demonstrated using numerical examples.
|Number of pages||9|
|Journal||Computational Mathematics and Mathematical Physics|
|Publication status||Published - 1995|