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Compared to the steady case, the unsteady case includes an additional time-derivative term in the Navier-Stokes equations:
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Wiki Markup |
{latex} \begin{eqnarray} \frac{\partial \vec{u}}{\partial t} + \rho (\vec{u}\cdot \triangledown)\vec{u} = -\triangledown p + \mu \triangledown^{2} \vec{u} \end{eqnarray} {latex} |
The methods implemented by FLUENT to solve a time dependent system are very similar to those used in a steady-state case. In this case, the domain and boundary conditions will be the same as the Steady Flow Past a Cylinder. However, because this is a transient system, initial conditions at t=0 are required. To solve the system, we need to input the desired time range and time step into FLUENT. The program will then compute a solution for the first time step, iterating until convergence or a limit of iterations is reached, then will proceed to the next time step, "marching" through time until the end time is reached.
Go to Step 1: Pre-Analysis & Start-Up
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