Solution of Navier-Stokes equations

(Difference between revisions)

Revision as of 23:08, 20 December 2005

For the incompressible flows, the Navier-Stokes equation could be written in the form:

$\nabla \cdot \vec U = 0$

${{\partial \vec U} \over {\partial t}} + \nabla \cdot \left( {\vec U\vec U} \right) - \nabla \cdot\left( {\nu \nabla \vec U} \right) = - \nabla p$

There are two important issues regarding Navier-Stokes equations:

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 # Non linearity of momentum equations
 # Pressure-velocity coupling
 ==Segregated Solver==
 === The solution scheme ===
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 ## Correct fluxes and velocities
 # Solve transport equations for other scalars
 == Coupled Solver ==