# Teaching Material

Lecture notes, tutorial problems, solutions. Text in RED highlights recent changes.

## TPFE MSc CFD-1

Introduction to CFD, discretisation, truncation errors CFD-Intro-Finite-Diff.DL-2006.pdf
Solving linear systems, direct methods, iterative methods Solvers2010-10-25_part1-part2.pdf
Body Fitted (curvilinear) grids, discretisation CFD-body-fitted-grids.pdf

#### CFD-1 Labs

The ".rap" extension is wrapped Scientific Workplace Format, and only opens with SWP. (start menu, programmes, EPS, MACE, and finaly SWP or Scientific workplace)

##### CFD-1 Exercises

More Lecture notes, and past exams can be found on Dr. T. Craft's page here: http://cfd.mace.manchester.ac.uk/Main/TimCraftTeachingMaterial

## Advanced CFD-2 (TPFE MSc and 4th Year option)

Unstructured Finite Volumes unstructured-FV-_2011-02-16.pdf
Intro to Finite Elements (1D) Finite-Elemts-1D-2011.pdf
1D FE parabolic (beam Eq) Tutorial) CFD2-Exerc-Parabolic-FE-2011.pdf
F.E. in 2D (Square duct as Tutorial) FE-2D-tutorialstyle2009.pdf
F.E. in 2D (Square duct solution) FE_2D_solution-2007.pdf
Riemann Solvers for compressible flows Characteristics and 1D Euler eqn
Approximate Riemann Solvers charac3godunov.pdf

• characteristics1-Intro_and_mathematical_appendix-2009.pdf: Introduction to method of characteristics. This extra set of notes is adapted to the 2009 lecture . The application to the 1D Euler equations was moved to the very beginning as it can be performed without the full and general theory. The very general method or methods in applied math-style form is now only an appendix (not examined).
• NB: The 2D Finite Element notes use Jacobian domain transformation formulae. These can be revisited in CFD-1 lecture note on Body Fitted (curvilinear) grids (see above)

#### CFD-2 Labs

##### CFD-2 Exercises, Tutorials
• FE-P2-beamtutorial2009.pdf: Finite Elements as a Rayleigh-Ritz method (Parabolic F.E. or cosines 1D beam type equation)
• Finite Volumes: reading, understanding a publication on Gradient Reconstruction. Read pages 1-5 of the following publication and give the detailed explanation of equations (3) and (4) on the reconstruction of the gradient: Muzaferija-Gosman-FV-firstpages-JCP-1997.pdf
(first few pages of Muzaferija- Gosman JCP 1997)

More CFD notes on Dr. T. Craft's page: http://cfd.mace.manchester.ac.uk/Main/TimCraftTeachingMaterial

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Topic attachments
I Attachment Action Size Date Who Comment
pdf CFD-Intro-Finite-Diff.DL-2006.pdf manage 123.9 K 2008-12-15 - 13:32 DominiqueLaurence Introduction to CFD, discretisation, truncation errors
pdf CFD-ResiduallMinimEx2006.pdf manage 25.4 K 2008-12-15 - 13:37 DominiqueLaurence Exercise on Residual Minimisation iterative solver
pdf CFD-Solvers-3DiagwithfullLU.pdf manage 236.1 K 2008-12-15 - 13:36 DominiqueLaurence Exercise on A=LU decompostion for 3 diagonal matrix
pdf CFD-body-fitted-grids.pdf manage 77.1 K 2008-12-15 - 13:35 DominiqueLaurence Body Fitted (curvilinear) grids, discretisation
pdf CFD2-Exerc-Parabolic-FE-2011--beam.pdf manage 83.0 K 2011-02-25 - 11:28 DominiqueLaurence
pdf CFDRichardsonExtrap.pdf manage 37.1 K 2008-12-15 - 13:33 DominiqueLaurence Richardson Extrapolation
pdf ConvectionDiffusionLab2010-10-25.pdf manage 26.2 K 2010-10-26 - 15:47 DominiqueLaurence
rap ConvectionDiffusionLab2010-10-25.rap manage 33.9 K 2010-10-26 - 15:49 DominiqueLaurence
pdf FE-P2-beamtutorial2009.pdf manage 76.0 K 2009-05-18 - 10:26 DominiqueLaurence
pdf FE_2D_solution-2007.pdf manage 124.8 K 2009-04-27 - 17:12 DominiqueLaurence
pdf Finite-Elemts-1D-2011.pdf manage 131.6 K 2011-02-25 - 11:22 DominiqueLaurence Finite-Elements-1D-2011.pdf
pdf Muzaferija-Gosman-FV-firstpages-JCP-1997.pdf manage 251.0 K 2009-05-18 - 11:01 DominiqueLaurence
pdf Solvers2010-10-25_part1-part2.pdf manage 119.4 K 2010-10-26 - 14:59 DominiqueLaurence
pdf charac3godunov.pdf manage 1270.1 K 2009-04-27 - 17:00 DominiqueLaurence Riemann Solvers - Godunov and Roe method
pdf characteristics1-Intro_and_mathematical_appendix-2009.pdf manage 154.3 K 2009-05-22 - 08:14 DominiqueLaurence Imtroduction to the method of characteristics - full math-style appendix
pdf characteristics2euler.pdf manage 112.9 K 2009-04-27 - 16:56 DominiqueLaurence Riemann Solvers: Characteristics and 1D Euler eqn
pdf unstructured-FV-_2011-02-16.pdf manage 272.6 K 2011-02-17 - 07:49 DominiqueLaurence unstructured-FV-_2011-02-16.pdf
Topic revision: r20 - 2011-02-25 - 11:34:38 - DominiqueLaurence
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