Computational multiscale methods for parabolic wave approximations in heterogeneous media

Understand

In this paper, we develop a computational multiscale to solve the parabolic wave approximation with heterogeneous and variable media.

• Parabolic wave approximation is a technique to approximate the full wave equation.
• One benefit of the method is that: one wave propagation direction can be taken as an evolution direction, and we then can discretize it using a classical scheme like Backward Euler.
• Consequently, we obtain a set of quasi-gas-dynamic (QGD) models with different heterogeneous permeability fields.