- Page 1: ES440/ES911: CFD Chapter 3. Finite
- Page 5 and 6: 3.1 Introduction A generic transpor
- Page 7 and 8: 3.2 - 1D Discretisation Divide the
- Page 9 and 10: 3.2 Basic Concept - Cont’d Unifor
- Page 11 and 12: 3.2 Basic Concept - Cont’d Each n
- Page 13 and 14: 3.2 Basic Concept - Cont’d Each n
- Page 15 and 16: 3.2 Basic Concept - Cont’d A gene
- Page 17 and 18: 3.2 - Finite Difference Approximati
- Page 19 and 20: 3.2 - Finite Difference Approximati
- Page 21 and 22: Taylor Series Expansion Taylor Seri
- Page 23 and 24: 3.3 - Forward Difference: ∂f ∂x
- Page 25 and 26: 3.3 - Forward Difference: ∂f ∂x
- Page 27 and 28: 3.3 - Forward Difference - Cont’d
- Page 29 and 30: 3.3 - Backward Difference: ∂f ∂
- Page 31 and 32: 3.3 - Backward Difference - Cont’
- Page 33 and 34: 3.3 - Central Difference: ∂f ∂x
- Page 35 and 36: 3.3 - Truncation Errors Numerically
- Page 37 and 38: 3.3 - Fourth Order Accuracy In gene
- Page 39 and 40: 3.3 - Fourth Order Accuracy - Cont
- Page 41 and 42: 3.3 - Higher Order Accuracy Second-
- Page 43 and 44: 3.3 - Higher Order Accuracy Second-
- Page 45 and 46: 3.3 - High Order Accuracy - Cont’
- Page 47 and 48: 3.4 Second Order Derivative: ∂2 f
- Page 49 and 50: 3.4 - Higher Order Accuracy: O(∆x
- Page 51 and 52: 3.4 Third Order Derivative: ∂3 f
- Page 53 and 54:
3.4 Third Order Derivative: ∂3 f
- Page 55 and 56:
First Order Accuracy: O(∆x) FORWA
- Page 57 and 58:
Second Order Accuracy: O(∆x 2 ) C
- Page 59 and 60:
Second Order Accuracy: O(∆x 2 ) C
- Page 61 and 62:
Fourth Order Accuracy: O(∆x 4 ) C
- Page 63 and 64:
Fourth Order Accuracy: O(∆x 4 ) C
- Page 65 and 66:
Finite Difference Method for Ellipt
- Page 67 and 68:
Finite Difference Method for Ellipt
- Page 69 and 70:
One-Dimensional FDM Elliptic PDE: L
- Page 71 and 72:
One-Dimensional FDM Elliptic PDE: L
- Page 73 and 74:
One-Dimensional FDM ∂ 2 u ∂x 2
- Page 75 and 76:
3.8 Algebraic Equation System u 1
- Page 77 and 78:
3.8 - Linear Algebraic Equation Fin
- Page 79 and 80:
3.8 - Matrix Equations - Cont’d A
- Page 81 and 82:
3.8 - Matrix Equations - Cont’d A
- Page 83 and 84:
1-D Navier-Stokes Equation Elliptic
- Page 85 and 86:
1-D Navier-Stokes Equation Elliptic
- Page 87 and 88:
One-Dimensional FDM 1 Re ∂ 2 u
- Page 89 and 90:
3.8 Algebraic Equation System u 1
- Page 91 and 92:
3.8 - Matrix Equations for 1D FDM T
- Page 93 and 94:
TDMA: Thomas Algorithm An upper tri
- Page 95 and 96:
3.8 - Matrix Equations - Cont’d A
- Page 97 and 98:
3.8 - Matrix Equations - Cont’d A
- Page 99 and 100:
Solution to 1D Matrix Equations Dir
- Page 101 and 102:
Example of First-Order ODE Heat Tra
- Page 103 and 104:
3.11 Example The generic transport