Anna University , Chennai
Department of B.E-Aeronautical Engg
Seventh Semester
AE2402 Computational Fluid Dynamics
Scanned Lecture Notes - All Units (Subhamathi Edition)
(Regulation 2008)
Attachment : Click Here
Content : UNIT-1
Introduction
Continuity equation
Momentum equation
Energy equation
Basic equation of fluid dynamics
Model of the flow
Substantial derivation
Physical meaning of divergence of a vector
Continuity
Conservation form of continuity equation
Momentum equation
1. Physical principle
2. Fluid model
Application of physical principle into fluid model
Energy equation
Work done due to body force
Rate of change of energy
Continuity equation
Incompressible invisid flow
Source and vortex flow
Elementary flows
Uniform flow
Source flow
Vortex flow
Non-lifting flow over arbitrary 2-D body source panel method
Source sheet
The vortex panel numerical method
Mathematical properties of the fluid dynamic equation
Quasi-linear system
Characteristic lines
Method of characteristics
Hyperbolic equation
Unsteady invisid compressible flow
Parabolic equation
Elliptic equation
1. Trichlet condition
2. Newmann condition
3. Wellposed problem
Discretization of PDE
Derivation of elementary
First order accuracy
Truncation error
First order forward difference
First order rearward difference
Second order central difference
Mixed derivation
Reflection boundary condition
Basic aspects of finite difference equation
Consistent
Finite difference solution
Explicit approach
Advantages
Disadvantages
Implicit approach
Advantages
Disadvantages
Errors and an analysis of stability
Discretization error
Round off error
Stability
Vonnewmannis method
Evaluating the inequality in above equation
UNIT-2
GRID GENERATION
Introduction
Computational plane
General transformation of the equation
Need for grid transformation
Types of grid generation
1. Structural grid generation
2. Unstructural grid generation
Types of grid
1. O-type grid
2. C-type grid
3. H-type grid
Grid generation techniques
Stretch or compressed grids
Elliptic grid generation
UNIT-3
DISCRETIZATION
Introduction
Boundary layers flow along a wall
Order of magnitude analysis
Surface oriented co-ordinate system
Transformation of the boundary layer equation
Choice of discretization model
Generalized implicit method
UNIT-4
INTRODUCTION TO FINITE ELEMENTS TECHNIQUES
Introduction
Advantages of FEM over FDM and FVM
Strong formulation
Weighted residual formulation
Point collocation method
Subdomain collocation method
Galerkin method
Weak formulation
Natural boundary condition
Essential boundary condition
Variational formulation
Finite elements
1. Triangular elements
2. Quadrilateral lagrange elements
3. Quadrilateral serendipity elements
4. Iso parametric elements
UNIT-5
FINITE VOLUME TECHNIQUES
Introduction
Cells
Nodes
1. Structural quadrilateral
2. Structural triangular
3. Unstructural triangular
Comparision of FVM over FDM and FEM
FEM like finite volume methods
Cell centred
Cell vertex on triangular grid
Cell centred formulation
Rader electronic warfare
1. Electronic warfare support measure
2. Electronic counter measure
3. Electronic protective measure
Lax-wendroff time steping
Runge-kutta method
Discipative terms
Numerical flux
accuracy
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