Modeling acoustic wave propagation underwater requires solving partial differential equations (PDEs) of acoustic wave equations. Specifically, the Helmholtz equation, which is a second-order linear partial differential equation.
In order to implement an acoustic wave propagator model in JavaScript, we need to discretize the Helmholtz equation using finite difference method. The finite difference method approximates the continuous derivatives in the equation by differences between discrete grid points.
Here's an example implementation of the Helmholtz equation in 2D using a finite difference method in JavaScript:
index.tsx1403 chars44 lines
This code uses a simple finite difference method to model the 2D wave propagation over an N
by N
grid of points. The wave speed c
and the grid spacing dx
are specified along with the time step dt
used for numerical simulation. The pressure field is calculated from the velocity field, which is updated using the pressure field of the previous time step.
This code can be modified to create more complex models with varying environments, such as including obstacle interactions, or changing wave properties. Ultimately, the complexity of the model will depend on the specific features and environment relevant to the problem being solved.
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