Two-Dimensional Solid-Liquid Finite Difference Simulation with Wave Propagation Analysis

The simulation program for two-dimensional solid-liquid finite difference is a powerful computational tool for investigating Lamb wave propagation characteristics in plate structures. The implementation utilizes a finite difference method (FDM) algorithm to solve wave equations across solid-liquid interfaces, with parametric inputs including material density, elastic moduli, plate thickness, and excitation frequency. Key computational features include: - Time-domain wave propagation modeling using staggered-grid finite difference schemes - Boundary condition handling for solid-liquid interfaces through impedance matching - Wavefield snapshot generation and dispersion curve calculation - Customizable source waveforms and receiver array configurations Users can input various physical parameters and run simulations to obtain detailed wave displacement data, amplitude distributions, and phase velocity visualizations. The program outputs include animated wave propagation sequences and quantitative analysis of mode conversions at interfaces, enabling deeper investigation of material properties and non-destructive testing applications. The modular code structure permits extensions for additional wave types (SH waves, Rayleigh waves) and complex geometries through parameter modifications and boundary condition adjustments. This makes the program adaptable for research in material science, ultrasonic testing, and structural health monitoring applications. The simulation leverages MATLAB/Python numerical computation capabilities with optimized matrix operations for efficient large-scale modeling, while maintaining compatibility with experimental data import/export functions for validation studies.