College of Engineering and Computer Science
Mechanical Engineering Department
Notes on Engineering Analysis
Revised April 26, 2010 Instructor: Larry Caretto
Coordinate Transformations
Introduction
We want to carry out our engineering analyses in alternati
College of Engineering and Computer Science
Mechanical Engineering Department
Mechanical Engineering 692
Computational Fluid Dynamics
Spring 2010
Number: 17535 Instructor: Larry Caretto
Solution to Midterm Exam
1. The picture at the right is a
Fluent plot
Errors in CFD Algorithms for Model Problem with Pecell = 1.25
1 .E+0 0
1 .E- 0 2
Er r or
1 .E- 0 4
1 .E- 0 6
Column Z
Column Z
Column Z
Column Z
Column Z
1 .E- 0 8
1 .E- 1 0
1 .E- 1 2
0
0 .1
0 .2
0 .3
0 .4
0 .5
x
0 .6
0 .7
0 .8
0 .9
1
Comparison of Numeri
College of Engineering and Computer Science
Mechanical Engineering Department
Mechanical Engineering 692
Computational Fluid Dynamics
Spring 2010
Number: 17535 Instructor: Larry Caretto
Solution to Homework Problems for April 12
Equation 5.19 in the text
College of Engineering and Computer Science
Mechanical Engineering Department
Mechanical Engineering 692
Computational Fluid Dynamics
Spring 2010 Number: 17535 Instructor: Larry Caretto
Solution to Homework Problems for February 8
Determine the physical d
College of Engineering and Computer Science
Mechanical Engineering Department
Mechanical Engineering 692
Computational Fluid Dynamics
Spring 2010
Number: 17535
Instructor: Larry Caretto
Solution to Homework Problems for February 1
1. In the notes for deri
Miscellaneous Topics and Final Review
April 28, 2010
Miscellaneous Topics and Review
for Final Exam
Larry Caretto
Mechanical Engineering 692
Outline
Student presentation schedule
Improving accuracy
Other topics
Reacting flows
Two-phase flows
Heat tr
Geometry and grids
April 26, 2010
Outline
Geometry and Grids
Larry Caretto
Mechanical Engineering 692
Computational Fluid Dynamics
April 26, 2010
Review last lecture
Problem of treating realistic geometry
Use of partial grid cells
Boundary fitted coordina
Transient CFD
April 21, 2010
Introduction
Transient CFD
Schedule for last two weeks of
semester
Review transient conduction
Density-based approaches to transient
CFD
Pressure-based approaches to transient
CFD
Fluent options for transient CFD
Larry Ca
Transient problems and stability
April 12, 2010
Introduction
Transient Problems and Stability
Look at transient problems
How to handle time derivatives
Various algorithms
Examine conduction equation as a
sample problem
Stability analysis (von Neumann)
S
Midtem Review
March 29, 2010
Outline
Midterm Review
Differential equations of fluid dynamics
Turbulence modeling
Numerical analysis
Larry Caretto
Mechanical Engineering 692
Finite-differences and order of the error
Finite-volume approaches
Computatio
Iteration Solutions
March 1517, 2010
Equation to Be Solved
Numerical Solutions of Finite
Finite
Volume Equations
ANN + ASS + AEE + APP + AWW = QP
ANiJ+1 + ASij-1 + AEi+1j + APij + AWi-1j
Have a set of simultaneous linear
equation to be solved algebraic
Navier-Stokes Part Two
March 3, 2010
Outline
Solution of Navier-Stokes
NavierEquations. Part Two
Review basics of integrating NavierStokes and continuity
Pressure and the staggered grid
Finite-volume momentum equations
Larry Caretto
Mechanical Engineer
Navier-Stokes Introduction
March 1, 2010
Introduction to Solution of NavierNavierStokes Equation
Larry Caretto
Mechanical Engineering 692
Homework for March 3
Download the Excel workbook from the
course web site for the sample
convection problem with Pec
More Convection Derivatives
February 22, 2010
Outline
Finite Volume Method for
Convection Derivatives II
Review finite-volume convection
Note need for average value at cell faces
for convection terms
Examine use of arithmetic mean as
average value and
Navier-Stokes Part Three
March 8, 2010
Outline
Solution of Navier-Stokes
NavierEquations Part Three
Review SIMPLE method for integration
of incompressible Navier-Stokes
Note choice of method is independent of
choice of differencing scheme
Larry Caretto