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simpleFOAM Solver General Properties

  • The computational model solves system of Navier-Stokes equations for incompressible fluid flow (implemented in OpenFOAM):

    $\displaystyle \nabla \cdot {\textbf u}$$\displaystyle =$0(11.15)
    $\displaystyle \frac{\partial {\textbf u}}{\partial t} +({\textbf u} \cdot \nabla){\textbf u}$$\displaystyle =$$\displaystyle \nu\nabla^2 {\textbf u} - \nabla p + {\textbf g}$(11.16)


    $\displaystyle \nu \equiv \frac{\mu}{\rho}$  (11.17)

     

    • Mass conservation [*]
    • Momentum conservation [*]
    • where: Symbol $ \partial$ is partial derivative, $ {\textbf u}$ is velocity vector, $ t$ is time, $ p$ is static pressure [    Pa$ /($kg$ \,$   m$ ^{-3})=$m$ ^2$   s$ ^{-2}$], $ \mu$ is dynamic viscosity, $ \nu$ is kinematic viscosity and $ {\textbf g}$ is gravity force vector.
    • The whole system is closed with boundary conditions.

       

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