(Wiley, 2023) Flores, Jesús; Salete Casino, Eduardo; Benito, Juan José; Vargas Ureña, Antonio Manuel; Conde, Eduardo R.; https://orcid.org/0000-0001-5201-4277
The simulation of seismic wave propagation generally requires dealing with complex tridimensional geometries that are irregular in shape 11 and have non-uniform properties, features that make interesting the application of the generalized finite difference method in this field. 12 This work continues the extensive developments by the research team focused on the simulation of seismic wave propagation in two-13 dimensional domains. In this new contribution, the general formulation and the treatment of free surface boundary conditions are 14 extended for the three-dimensional case and the results obtained from different examples are analyzed.
We introduce a meshless method derived by considering the time variable as a spatial variable without the need to extend further conditions to the solution of linear and non-linear hyperbolic PDEs. The method is based on the moving least squares method, more precisely in the Generalized Finite Difference Method which allows us to select well-conditioned stars. Several 2D and 3D examples including the time variable are shown for both regular and irregular node distributions. The results are compared with explicit GFDM both in terms of errors and execution time.
