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Solution of Navier-Stokes equations

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--[[User:Ihabsraj|Ihabsraj]] 16:00, 20 December 2005 (MST)--[[User:Ihabsraj|Ihabsraj]] 16:00, 20 December 2005 (MST)--[[User:Ihabsraj|Ihabsraj]] 16:00, 20 December 2005 (MST)--[[User:Ihabsraj|Ihabsraj]] 16:00, 20 December 2005 (MST)
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== Coupled Solver ==
== Coupled Solver ==
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# Solve the system of momentum and pressure equations in one go (u,v,w,p)
 
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# Solve transport equations for other scalars
 
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<i> Return to [[Numerical methods | Numerical Methods]] </i>
<i> Return to [[Numerical methods | Numerical Methods]] </i>

Revision as of 23:00, 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:

  1. Non linearity of momentum equations
  2. Pressure-velocity coupling


--Ihabsraj 16:00, 20 December 2005 (MST)--Ihabsraj 16:00, 20 December 2005 (MST)--Ihabsraj 16:00, 20 December 2005 (MST)--Ihabsraj 16:00, 20 December 2005 (MST)


Segregated Solver

The solution scheme

  1. Solve Momentum equations (u,v,w)
  2. Solve pressure correction equation
    1. Correct fluxes and velocities
  3. Solve transport equations for other scalars


Coupled Solver

Return to Numerical Methods

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