First-Order Acoustic Wave Equation Wavefield Simulation

For the wavefield simulation of first-order acoustic wave equations, we employ a staggered grid discretization scheme with second-order accuracy. Additionally, PML (Perfectly Matched Layer) boundary conditions are implemented to effectively control boundary reflections. The staggered grid approach stores velocity and pressure components at different grid positions, while the second-order finite difference method provides accurate wave propagation modeling. The PML implementation involves adding absorbing layers with complex coordinate stretching to minimize artificial reflections. This combination enables accurate simulation of acoustic wave propagation phenomena, facilitating better understanding and research in related fields. Notably, these methods can be extended to other wave propagation simulations such as electromagnetic waves and seismic waves, offering broader research opportunities and potential advancements in these domains. The implementation typically involves solving the coupled velocity-pressure system using time-stepping algorithms with proper stability conditions.