Jeppiaar Engg. College Dept. of Aeronautical Engg.

1 Mr.D.Thanikaivel Murugan Asst. Professor

AE2402-COMPUTATIONAL FLUID DYNAMICS Important 16 Mark Q (unit wise)

UNIT 1

1. Distinguish between elliptic, parabolic and hyperbolic systems of PDEs applied to fluid flows. What

are the types of boundary conditions specified for flow problems? 2. What are the discretization techniques and how do you discretize the equations for subsonic and

supersonic flows? 3. Write down the procedure for the calculation of pressure coefficient distribution around a circular

cylinder using the source panel technique.

UNIT 2

4. Describe elliptical grid generation using Laplace equation for airfoil characteristic curves. 5. Illustrate the basic ideas in algebraic transformations of two dimensional, steady, boundary layer

flow over flat plate with suitable transformation relations. 6. What is the need for grid generation and explain the types? (C Grid, O Grid, H Grid) 7. What is the need for grid generation? Mention the different grid generation technique and list down

their relative merits and demerits. 8. Explain how grid generation is achieved by the numerical solution of elliptic Poison’s equations.

UNIT 3

9. Give account of the following:

(i) Lax-Wendroff Technique. (ii) MacCormack’s Technique.

10. For Falkner-Skan equations of the boundary layer , discuss the following methods to solve them (i) Numerical Integration and Shooting Technique (ii) Crank-Nicolson method

11. Explain implicit time dependent methods for inviscid and viscous compressible flows. 12. What do you mean by self similar solution? How is the local self similar solution? How is the local

self similar solution of boundary layer equations obtained? 13. What is meant by hierarchy of boundary layer equations? Derive Zeroth, first and second order

boundary layer equations. 14. Compare and contrast the stability of second order wave equation for implicit and explicit schemes. 15. Explain a typical implicit time dependent method for the solution of viscous compressible flows with

model flow equations.

Jeppiaar Engg. College Dept. of Aeronautical Engg.

2 Mr.D.Thanikaivel Murugan Asst. Professor

16. Stability aspect of explicit and implicit UNIT 4

17. Discuss the boundary value problem of numerical grid generation Further throw some light on the

following: (i) Boundary condition (ii) Orthogonality of the grid lines and (iii) Effects of branch cut.

18. Write short note on the following: (i)Strong formulation (ii) Weighted Residual formulation (iii) Galerkin Formulation and (iv) Weak Formulation

19. Explain the strong and weak formulations of a boundary value problem with a suitable example.

UNIT 5

20. (i)Briefly explain explicit Lax-Wendroff scheme of time dependent mathods. (ii) Discuss solution procedure for Runge-Kutta time stepping. (iii) Wirte brief note on cell vortex formulation.

21. Explain cell centered formulation and cell-vertex formulations. 22. Explain Flux Difference Splitting (FDS) Schemes — Flux Splitting Technique 23. Explain Flux Vector Splitting (FVS) Schemes 24. Explain the Schematic representation of the Assembly Process in FEM. 25. SIMPLE & PESO Flowchart

Jeppiaar Engg. College Dept. of Aeronautical Engg.

3 Mr.D.Thanikaivel Murugan Asst. Professor

AE2402-COMPUTATIONAL FLUID DYNAMICS Important 2 Mark Q

1. Compare and contrast of explicit and implicit schemes 2. State the merits and demerits of numerical grid generation technique. 3. What is meant by CFL condition? 4. Bring out the difference between finite volume and finite element method. 5. Define peclet number and state its importance 6. What do you mean by wiggles in the numerical solution? 7. What are the different categories of Boundary condition? 8. What is the need for grid generation? 9. Bring out the difference between the physical domain and computational domain 10. Classify the types of PDE. 11. Write down the advantages and disadvantes of weak formulation. 12. What do you understand by Runga kutta time stepping method 13. What do you understand by metrices 14. What is meant by strong conservation and weak conservation form? 15. What are the physical significance/ meaning of the various terms in conservative form of momentum

equations? 16. What are the advantages of staggered grid? 17. Define Convergence and Lax equivalence theorem 18. Name the important errors that occur in Numerical Solution. 19. What is the importance of Courant no.? Explain its significance. 20. What is the necessity of staggered grid in control volume method?