Development of a new solver for steady-state 2D Navier-Stokes equations

[nikoscham]

This issue has been added to the FEAScript roadmap for the upcoming 0.2.0 release (https://github.com/orgs/FEAScript/discussions/17).

Tasks

• Define weak formulation for steady-state incompressible Navier-Stokes equations in 2D
• Integrate with the Newton-Raphson nonlinear solver (#22)
• Validate solver with benchmark cases (e.g., lid-driven cavity)

[nikoscham]

I have implemented the Stokes flow solver, and I believe this is sufficient for the current development stage. I’ll close this issue for now and plan to open it again once the FEAScript code has been further optimized (optimizing the code will be the task for the next releases after 0.2.0). For reference, here is the Stokes example (lid-driven cavity).