How does the Waves class in the book Introduction to 3D Game Programming with DirecX11 work?

Question

I'm confused by the Waves class implementation in the source code of the book Introduction to 3D Game Programming with DirecX11:

float d = damping*dt+2.0f;
float e = (speed*speed)*(dt*dt)/(dx*dx);
mK1     = (damping*dt-2.0f)/ d;
mK2     = (4.0f-8.0f*e) / d;
mK3     = (2.0f*e) / d;

What do the parameters mean? How are the waves generated? I've tried searching waves implementation and found https://stackoverflow.com/questions/6716887/how-to-render-ocean-wave-using-opengl-in-3d , I looked up the links mentioned by the answer but I couldn't understand the complicated equations and it seems that the equations have no relation with the code above. I also tried searching "spatially damped wave", and then I found https://physics.stackexchange.com/questions/223366/wave-equation-with-spatial-damping, that didn't help me, neither...

Answer 1

This implementation represents the water as a regular height field grid. The function parameters m and n are the dimensions of the grid, dx is the regular distance between the water vertices, dt is the time step, speed is the speed of the movement and damping is a constant to ease disturbance as the water flows from the disturbance center.