Week

Class

Date

Day

Topics

1

Lecture 1

29 Nov

M

Intro to CFD: what it is, strengths versus weaknesses

Lecture 2

30 Nov

T

Conservation Principles in Differential Form (continuity, Navier-Stokes, energy)

Lecture 3

2 Dec

R

Road Map of a CFD Calculation

Lab 1

3 Dec

F

Construction of a Computational Model

2

Lecture 4

6 Dec

M

Intro to Non-Uniform Structured Mesh: basic ideas, resource allocation

Lecture 5

7 Dec

T

Non-Uniform Structured Mesh: analytical mapping functions, stretching terms

Lecture 6

9 Dec

R

Solution Strategy of Finite Difference: uniform mesh

Lab 2

10 Dec

F

Structured Mesh Generation Using Analytical Mapping

3

Lecture 7

13 Dec

M

Solution Strategy of Finite Difference: non-uniform mesh

Lecture 8

14 Dec

T

Solution Strategy of Finite Volume: treatment of advection, pressure gradient, role of interpolation

Lecture 9

16 Dec

R

Solution Strategy of Finite Volume: treatment of diffusion, role of finite difference

Lab 3

17 Dec

F

A Finite-Difference Solution to the Burgers Equation

Holiday Vacation

4

Lecture 10

3 Jan

M

Intro to Unstructured Mesh

Lecture 11

4 Jan

T

Accuracy of Interpolation Methods

Lecture 12

6 Jan

R

Accuracy of Spatial Differencing

Lab 4

7 Jan 

F

A Finite-Volume Solution to the Burgers Equation

5

Lecture 13

10 Jan

M

Modified Wave Number Due to Spatial Discretization

Lecture 14

11 Jan

T

Wave Resolution Efficiency

Lecture 15

13 Jan

R

Numerical Dispersion & Dissipation Due to Spatial Discretization

Lab 5

14 Jan

F

Exam I

6

Lecture 16

17 Jan

M

Explicit Time Advancement: explicit Euler (formal order of accuracy, stability)

Lecture 17

18 Jan

T

Higher-Order Methods: insight from Taylor series

Lecture 18

20 Jan

R

Implicit Time Advancement: Euler & Trapezoid

Lab 6

21 Jan

F

Mesh Generation & Flow Solver Using a commercial CFD software

7

Lecture 19

24 Jan

M

Numerical Dispersion & Dissipation Due to Time Advancement: amplitude & phase error

Lecture 20

25 Jan

T

Space-Time Coupling in Advective Problems

Lecture 21

27 Jan

R

Space-Time Coupling in Diffusive Problems

Lab 7

28 Jan

F

A Finite-Difference Solution to a Steady, Two-Dimensional Flow over a Cylinder

8

Lecture 22

31 Jan

M

Space-Time Coupling in Advective-Diffusive Problems

Lecture 23

1 Feb

T

Boundary Conditions/Treatment

Lecture 24

3 Feb

R

Hierarchy of Turbulence Computations

Lab 8

4 Feb

F

Space-Time Coupling: An Unsteady, One-Dimensional Problem

9

Lecture 25

7 Feb

M

Closure Problem of Turbulence: Reynolds-averaged Navier-Stokes equations

Lecture 26

8 Feb

T

Turbulence Modeling: eddy viscosity model (scaling models)

Lecture 27

10 Feb

R

Turbulence Modeling: eddy viscosity model (transport models)

Lab 9

11 Feb

F

Exam II

10

Lecture 28

14 Feb

M

Turbulence Modeling: Reynolds stress models

Lecture 29

15 Feb

T

Post-Processing of Flow Field Data: wall flux, surface integral, vorticity, dilatation, turbulence statistics

Lecture 30

17 Feb

R

Course Summary

Lab 10

18 Feb

F

Project Work

Project presentation during finals week

TOP

Last modified: November 16, 2021