Numerical Simulation of Wave Fields in Two-Phase Media Using Finite Difference Methods

This program conducts numerical simulation of wave field propagation in two-phase media using the finite difference method. The core algorithm solves wave propagation equations through spatial discretization on computational grids and temporal evolution using explicit time-stepping schemes. Key functions include implementing staggered-grid finite difference operators for improved numerical stability, handling interface conditions between different media phases, and incorporating absorbing boundary conditions to minimize reflections. The numerical approach enables detailed study and analysis of wave propagation characteristics across heterogeneous media, with applications in seismology, acoustics, and medical imaging. The implementation features a user-friendly graphical interface with real-time visualization tools that display wave field snapshots, propagation animations, and parameter analysis plots. Advanced visualization components allow users to interactively modify material properties, source configurations, and observation points to better understand wave field dynamics through immediate visual feedback.