Numerical simulation is widely used in the study of wave fields in various media. One of the methods is to divide the domain of interest into elementary volumes and build a finite-difference scheme for numerical implementation. The work assumes that the domain can have a significant curvature of the surface, therefore, the technology of generating a mesh of curved cubes is used. This mesh provides good consistency between the discrete and physical models of the domain. A parallel algorithm is proposed for the numerical solution of a 3D linear system of elasticity theory, expressed via displacement velocities and stresses, using a curvilinear mesh and an explicit difference scheme based on the Lebedev scheme. The simulation results are presented. The calculations were carried out using the resources of the SSCC SB RAS.
Simulation of 3D Wave Fields in Inhomogeneous Domain with Complex Topography Using the Lebedev Scheme
