[CFD] Pressure-based Coupled Solver (Part 1)

An introduction to pressure-based coupled algorithms that are used by modern CFD codes including ANSYS Fluent, OpenFOAM and ANSYS CFX to address the pressure-velocity coupling in the Navier-Stokes equations. Timestamps 0:00 Introduction 0:55 Pressure Gradient (Gauss Integration) 6:46 Face Pressure Interpolation 12:15 Example Force Calculation 15:51 Simplified Form 17:22 Segregated Algorithms (SIMPLE, PISO) 19:22 Explicit Pressure Gradient 22:38 Implicit Pressure Gradient 24:28 v Momentum Equation 27:23 Pressure Equation 29:07 Block Matrix 31:53 System Iteration 32:56 Summary 34:20 Outro Some useful references: M. Darwish, I. Sraj, F. Moukalled, 'A coupled finite volume solver for the solution of incompressible flows on unstructured grids', Journal of Computational Physics 228 (2009) 180–201. doi:10.1016/j.jcp.2008.08.027 H. Jasak, 'Coupled Flow Solution Algorithms in OpenFOAM', TOBB ETU, Ankara, 23 October 2019. #pressure-velocity-coupling #cfd #fluidmechanics ============================================ 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.