[CFD] The SIMPLE Algorithm (to solve incompressible Navier-Stokes)

An instructional video for how to solve the incompressible Navier-Stokes equations numerically, using the SIMPLE algorithm. The following topics are covered: 1) 1:41 Why are the incompressible Navier-Stokes equations difficult to solve numerically? 2) 2:48 What are the key tricks to the SIMPLE algorithm? 3) 3:36 How can we derive a Poisson equation for pressure and a velocity corrector? 4) 10:43 How are the energy, turbulence and species transport equations incorporated into the SIMPLE algorithm? 5) 12:01 What are the conceptual differences between 'pressure-based' and 'density-based' algorithms? ==================================================== The following references may be useful: 1) H.Jasak, 'Error Estimation and Analysis for the Finite Volume Method with Application to Fluid FLows', Imperial College London, 1996. http://powerlab.fsb.hr/ped/kturbo/Ope... 2) OpenFOAM Wiki, 'OpenFOAM guide/The SIMPLE algorithm in OpenFOAM', https://openfoamwiki.net/index.php/Op... 3) 3) Klas Jareteg, 'Coupled solvers and more - Lecture within CFD with open source 2013 (TME050)', http://www.tfd.chalmers.se/~hani/kurs... #cfd #navier-stokes #fluiddynamics #simpleAlgorithm ============================================ Want to learn more? ============================================ Grab a copy of my CFD Fundamentals Course (for beginners): https://www.udemy.com/course/computat... Learn how to write your own CFD code in MATLAB and python (for intermediates): https://dr-aidan-wimshurst-s-school.t... Learn how I draw my figures and diagrams in Inkscape (for everyone): https://dr-aidan-wimshurst-s-school.t... ============================================ Did you like the video? ============================================ Download the lecture slides from my website: https://www.fluidmechanics101.com/pag... Buy me a coffee to say thanks: https://www.buymeacoffee.com/NKEZrhvg0 Support the channel on Patreon (and get useful extras for your CFD studies):   / fluidmechanics101   ============================================ Donations: ============================================ 1) PayPal https://www.paypal.me/fluidmechanics101 ================================== Disclaimer ================================== 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.