Numerical modeling of elastic wave phenomena by grid-characteristic method on Chimera computational meshes

Nowadays, the solution of applied problems of seismic exploration and ultrasonic non-destructive testing is accompanied by the use of computer simulation. This poses a challenge for scientists to develop new modifications of numerical methods that allow increasing the accuracy of calculations while minimizing the cost of computing resources. Unlike numerical methods on unstructured computational grids, the use of Chimera computational grids (or superimposed ones, or adaptive ones) also allows describing boundaries and contact boundaries of arbitrary shape, but at the same time spending less RAM and time on calculations. This is especially important in connection with the active use of neural networks for solving inverse problems, since when generating training samples, both the accuracy of modeling and the speed of calculations and the amount of RAM spent are important. The paper considers and compares various modifications of the grid-characteristic method on Chimera computational grids. Examples of test calculations are given.