I'm looking to code a solver for the Navier-Stokes equations. I will be using finite differences with the method of lines.
Two questions:
- What is the significance of the pressure term in the full 3-D NS equations in terms of numerical methods...It seems that this complicates writing a numerical method, but I'm not sure why? Any of the material I've found on this through google dives straight away into complicated schemes for addressing the problem, they don't give a clear, simple, explanation of what the problem actually is!
- If we reduce the equations to 1-D does the issue with the pressure term "go away" and if so why?