AM5630_Foundations_of_CFD_Assignments

Assignment submission for the course Foundation of Computational Fluid Dynamics (AM5630) in the Spring 2021 Semester, under Prof. K Arul Prakash.

Description of Assignments

Assignment 1 :

• Solving the 1D Heat equation using FTCS scheme for :
  • Different time steps.
  • Different thermal diffusivities.
• The inferences drawn from the experiments with different time steps are documented in the report submitted.

Assignment 2 :

• Solving the 2D Transient Heat equation using :
  • FTCS method
  • ADI method
• Solving the 2D Steady State Heat equation using :
  • Point Gauss Seidal method
  • Line Gauss Seidal method
  • PSOR method
  • LSOR method
  • ADI method
• The effect of symmetry on solution is studied, and a detailed report containing the inferences is submitted.

Assignment 3 :

• Simulating Lid-Driven Cavity flow problem by solving Navier Stokes equation using Stream function Vorticity approach
  • The effect of change in grid points and time step is documented in the report.
  • The results of the solution is validated against data provided by Ghia et al,.
  • A further investigation is done by simulating the same problem in Ansys 2021 R1using SIMPLE scheme with similar conditions and the results are documented in the report