Wave Field Simulation Using Regular Grids

In this paper, we conduct wave field simulation using structured regular grids. This approach is specifically developed for modeling first-order acoustic wave equations while achieving second-order numerical accuracy through finite-difference discretization. Wave field simulation serves as a fundamental computational technique extensively applied in seismology, acoustics, and electromagnetics to model wave propagation and reflection phenomena. Its implementation typically involves solving partial differential equations using staggered-grid finite-difference methods with optimized boundary conditions. In seismological applications, this method enables detailed investigation of subsurface structures and material movements through numerical modeling of seismic wave behaviors. The core algorithm often incorporates velocity-stress formulations with perfectly matched layer (PML) boundary treatments to minimize artificial reflections. For engineering applications, wave field simulation facilitates seismic impact assessment on infrastructures through time-domain modeling of wave-structure interactions. Additionally, in acoustics and electromagnetics, it supports research on wave propagation mechanisms through numerical experiments that can be implemented using matrix-based computations with parallel processing optimizations for large-scale simulations.