Steady-state incompressible Navier-Stokes discretization

  • Thread starter Zoli
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Hi,
I would like to solve the steady-state incompressible Navier-Stokes equations by a spectral method. When I saw the classic primitive-variable finite element discretization of the time-dependent incompressible N-S, it turned out that the coefficient matrix of the derivatives of the unknowns makes the problem. However, if I solve the time-independent version of N-S, I do not have to bother with decoupling, etc, am I right?
My second question: do I have to use lower order approximation for the pressure than for the velocity if I regard the steady-state version?

Thank you!
 

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