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Sim_Fluid

 Fluid Motions (Numerical Simulation)


  • Advection Equation (1 dim.)

\frac{\partial}{\partial t}f + u \frac{\partial}{\partial x}f = 0

  • Advection Equation (2 dim.)

\frac{\partial}{\partial t}f + u \frac{\partial}{\partial x}f + v \frac{\partial}{\partial y}f = 0

\nabla \cdot \vec{v} = 0

\frac{d}{dt} \vec{v} + (\vec{v} \cdot \nabla) \vec{v} = Pr (Ra \theta \vec{e_{z} } - \nabla p + \nabla^{2}\vec{v} )

\frac{d}{dt} \theta + (\vec{v} \cdot \nabla) \theta = \nabla^{2} \theta


[参考資料]