Solution of Navier-Stokes equations
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| + | For the incompressible flows, the Navier-Stokes equation could be written in the form: <br> | ||
| + | :<math> | ||
| + | \nabla \bullet \vec U = 0 </math> <br> | ||
| + | :<math> {{\partial \vec U} \over {\partial t}} + \nabla \bullet \left( {\vec U\vec U} \right) - \nabla \bullet \left( {\nu \nabla \vec U} \right) = - \nabla p </math> | ||
| + | |||
| + | There are two important issues regarding Navier-Stokes equations: <br> | ||
| + | # Non linearity of momentum equations | ||
| + | # Pressure-velocity coupling | ||
| + | |||
| + | |||
| + | |||
| + | |||
| + | |||
==Segregated Solver== | ==Segregated Solver== | ||
Revision as of 07:23, 3 October 2005
For the incompressible flows, the Navier-Stokes equation could be written in the form:
There are two important issues regarding Navier-Stokes equations:
- Non linearity of momentum equations
- Pressure-velocity coupling
Segregated Solver
The solution scheme
- Solve Momentum equations (u,v,w)
- Solve pressure correction equation
- Correct fluxes and velocities
- Solve transport equations for other scalars
Coupled Solver
Return to Numerical Methods
