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.
C Hirsch, Numerical Computation of Internal and External Flows, Vol. 1 and 2, John Wiley, 1990.
J H Ferziger and M Peric, Computational Methods for Fluid Dynamics, Springer, 2002.
Relevant literature.
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