An introduction to residuals and how they can be used to help assess convergence in CFD. In part 1 of this lecture series, the following topics are covered:

0:00 Introduction
1:47 An example problem to help understand residuals
15:17 What does the residual physically represent?
17:40 How is the residual vector calculated?
25:00 Why is it useful to calculate a representative residual ?
29:02 What are the different methods for calculating a representative residual?

#residuals #fluidmechanics101 #cfd

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Some useful references
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1. Ferziger & Peric, 'Computational Methods for Fluid Dynamics', 3rd Edition, Springer-Verlag, Berlin, Heidelberg, New York, 2002.
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2. ANSYS Fluent 12.0 User manual (26.13.1 Monitoring Residuals)
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3. OpenFOAM: User Guide v2012. Residual Normalisation
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Want to learn more?
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Grab a copy of my CFD Fundamentals Course (for beginners):
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Learn how to write your own CFD code in MATLAB and python (for intermediates):
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Learn how I draw my figures and diagrams in Inkscape (for everyone):
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Donations:
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1) PayPal
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Disclaimer
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The methods, algorithms, equations, formulae, diagrams and explanations in this talk are for educational and demonstrative purposes only. They should never be used to analyse, design, accredit or validate real scientific / engineering / mathematical structures and flow systems. For such applications, appropriate trained, qualified and accredited (SQEP) engineers / scientists should be consulted along with the appropriate documentation, procedures and engineering standards. Furthermore, the information contained within this talk has not been verified, peer reviewed or checked in any way and is likely to contain several errors. It is therefore not appropriate to use this talk itself (or any of the algorithms, equations, formulae, diagrams and explanations contained within this talk) as an academic or technical reference. The reader should consult the original references and follow the verification and validation processes adopted by your company / institution when carrying out engineering calculations and analyses. Fluid Mechanics 101 and Dr. Aidan Wimshurst are not accountable or liable in any form for the use or misuse of the information contained in this talk beyond the specific educational and demonstrative purposes for which it was intended.

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