Simulation of ultrasonic waves in various types of elastic media using the mass spring lattice model

The mass spring lattice model (MSLM) for simulating ultrasonic waves in isotropic and transversely isotropic media is improved via the formulation of a more accurate model for the latter type of medium. A realistic model for an interface between two different media is proposed. Furthermore, a simple absorbing boundary condition is incorporated to reduce spurious reflections from the truncated boundaries of the computational grid. A software package for the MSLM on personal computers is developed in the graphic user interface environment, which may be used to simulate and visualize ultrasonic waves. Several fundamental problems in homogeneous and isotropic media and several other problems in anisotropic and nonhomogeneous media are simulated and visualized using the developed software. All numerical results show good qualitative agreement with known analytical and numerical results.