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Illustration of the CFD approach; CFD as an engineering analysis tool.

Derivation of flow governing equations; turbulence modeling; modeling approaches for multiphase flow; initial and boundary conditions; wellposedness.

Discretization of  the governing equations using finite difference/volume/element methods; concepts of consistency, stability and convergence; template for the discretization of a generic unsteady transport equation.

Solution of discretized equations; direct methods; classical iterative methods; advanced methods for structured matrices; conjugate gradient techniques; multigrid methods.

Solution of coupled equations: methods for compressible flows; evaluation of pressure in incompressible flows; pressure-velocity coupling algorithms.

Structured and unstructured grids; structured grid generation; unstructured grid generation.

Benchmarking; calibration.

 

 

S No

Topic

No. of Lectures

1

Illustration of the CFD approach; CFD as an engineering analysis tool.

2

2

Derivation of flow governing equations.

5

3

Initial and boundary conditions; wellposedness.

2

4

Turbulence modeling.

4

5

Discretization of  the governing equations using finite difference / volume methods.

2

6

Concepts of consistency, stability and convergence.

2

7

Template for the discretization of a generic unsteady transport equation.

2

8

Spectral analysis of errors and TVD schemes.

2

9

Solution of discretized linear algebraic equations: direct methods; classical iterative methods; convergence analysis.

4

10

Advanced methods for the solution of discretized equations.

4

11

Solution of coupled equations: methods for compressible flows.

2

12

On evaluation of pressure in incompressible flows.

2

13

Pressure-velocity coupling algorithms.

2

14

Template for the solution of governing equations.

1

15

Structured and unstructured grids.

1

16

Structured grid generation methods.

2

17

Unstructured grid generation methods.

2

18

Benchmarking and calibration.

1

 

Total

42

 

UG-level courses in fluid mechanics and computational techniques + basic programming skills.


  1. C Hirsch, Numerical Computation of Internal and External Flows, Vol. 1 and 2, John Wiley, 1990.

  2. J H Ferziger and M Peric, Computational Methods for Fluid Dynamics, Springer, 2002.


Relevant literature.



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