Set up a CFD model in any CFD software of your choice or you can develop...

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Set up a CFD model in any CFD software of your choice or you can develop a code should you wish for the unsteady two-dimensional elliptic flow in a square cavity of unit length on each side. The wall on the top is moving at 1 m/s towards the right. Assume the density of the fluid is 1 kg/m³. Repeat your simulations at three different Reynolds numbers (100, 400 and 1000) by adjusting the viscosity to match the desired Reynolds number. Numerical Setup Start your problem by discretizing the domain using a 20 x 20 grid and refine your mesh as needed. You should ensure that your solution is mesh-independent. Select your time step according to the stability criteria. You may want to adjust it to a value of convenience. Solution Examine the velocity profile in terms of stream function at steady state, 50 %, 25 % and 12.5 % time to steady state for each of the simulations. Compare your flow field between the different times for each simulation. Make sure you examine and look at the flows in the bottom corners. Also, observe the centreline horizontal velocity (at x = 0.5). Report You report should include the following: 1. How do you set up your model? What are the reasonings behind your choice for the models and/or numerical schemes? 2. Show that your solution is mesh-independent. 3. Should all the required results, make the necessary comparisons and discussions. 4. A short summary or conclusion. Set up a CFD model in any CFD software of your choice or you can develop a code should you wish for the unsteady two-dimensional elliptic flow in a square cavity of unit length on each side. The wall on the top is moving at 1 m/s towards the right. Assume the density of the fluid is 1 kg/m³. Repeat your simulations at three different Reynolds numbers (100, 400 and 1000) by adjusting the viscosity to match the desired Reynolds number. Numerical Setup Start your problem by discretizing the domain using a 20 x 20 grid and refine your mesh as needed. You should ensure that your solution is mesh-independent. Select your time step according to the stability criteria. You may want to adjust it to a value of convenience. Solution Examine the velocity profile in terms of stream function at steady state, 50 %, 25 % and 12.5 % time to steady state for each of the simulations. Compare your flow field between the different times for each simulation. Make sure you examine and look at the flows in the bottom corners. Also, observe the centreline horizontal velocity (at x = 0.5). Report You report should include the following: 1. How do you set up your model? What are the reasonings behind your choice for the models and/or numerical schemes? 2. Show that your solution is mesh-independent. 3. Should all the required results, make the necessary comparisons and discussions. 4. A short summary or conclusion.

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The given task is to set up a Computational Fluid Dynamics CFD model to simulate twodimensional elliptic flow in a square cavity with a moving top wal... View the full answer