https://sayyari.netlify.app/courses/nume/lectures/background/Recent content on Sayyari: NuMeHugoen© 2023 Dr. Mohammed Sayyari -- Based on the lecture by Dr. Ing. David Engelmann and Dr. rer. nat. W. Volgmannhttps://sayyari.netlify.app/courses/nume/lectures/background/1-What-is-C-F-D/Mon, 01 Jan 0001 00:00:00 +0000https://sayyari.netlify.app/courses/nume/lectures/background/1-What-is-C-F-D/<h1 id="what-is-cfd">What is CFD?<a class="anchor" href="#what-is-cfd"></a></h1> <ul> <li>Computational Fluid Dynamics</li> <li>Objectives: <ul> <li>Design, calculation and optimization of flow components</li> <li>Replace or extend experimental studies</li> </ul> </li> </ul> <h1 id="examples-of-cfd-flow-components">Examples of CFD flow components<a class="anchor" href="#examples-of-cfd-flow-components"></a></h1> <table> <thead> <tr> <th></th> <th>External Flow</th> <th>Internal Flow</th> </tr> </thead> <tbody> <tr> <td>Simple Geometry</td> <td>Plate, Cylinder, Wing, Stair Tread</td> <td>Pipe, Manifold, Nozzle Diffuser</td> </tr> <tr> <td></td> <td><img src="https://sayyari.netlify.app/courses/nume/lectures/background/1-What-is-C-F-D/flow_around_cylinder.png" alt="Flow around a cylinder" /></td> <td><img src="https://sayyari.netlify.app/courses/nume/lectures/background/1-What-is-C-F-D/flow_in_diffuser.png" alt="Flow in diffuser" /></td> </tr> <tr> <td>Complex Geometry</td> <td>Airplane, Car, Windmill, Ship</td> <td>Turbine Engine, Pump Valve</td> </tr> <tr> <td></td> <td><img src="https://sayyari.netlify.app/courses/nume/lectures/background/1-What-is-C-F-D/flow_around_airplane_wing.jpg" alt="Flow around an airplane wing" /></td> <td><img src="https://sayyari.netlify.app/courses/nume/lectures/background/1-What-is-C-F-D/flow_in_turbine.png" alt="Flow in turbine" /></td> </tr> </tbody> </table> <!-- | | <img class="lecture-image" src="flow_around_cylinder.png" alt="Flow around a cylinder"> | <img class="lecture-image" src="flow_in_diffuser.png" alt="Flow in diffuser"> --> <h1 id="complexity">Complexity<a class="anchor" href="#complexity"></a></h1> <div style="display:flex; flex-direction:column; align-items:center; gap:0.3rem; width:100%;"> <div style="display:flex; width:25%; gap:0.3rem;"> <div style="flex:1; border:1px solid; padding:0.5rem; text-align:center;"> Flow solver </div> </div> <div style="display:flex; width:50%; gap:0.3rem;"> <div style="flex:1; border:1px solid; padding:0.5rem; text-align:center;"> <b>Academic</b> <br> Self-programmed, numerics and algorithms, parallelization, HPC, DNS, LES, instabilities ... </div> <div style="flex:1; border:1px solid; padding:0.5rem; text-align:center;"> <b>Industrial</b> <br> Meshing, CAD, HPC, commercial solvers, visualization, genetic algorithms ... </div> </div> <div style="display:flex; width:75%; gap:0.3rem;"> <div style="flex:1; border:1px solid; padding:0.5rem; text-align:center;"> <b>Numerical methods</b> <br> Finite differences, volumes, & elements, spectral methods, characteristics, initial value problems, systems and linear solvers ... </div> <div style="flex:1; border:1px solid; padding:0.5rem; text-align:center;"> <b>Flow modeling</b> <br> Similarity theory, asymptotic methods, averaging, filtering, closure problems, turbulence models, multiscale methods, stochastic methods, ... </div> </div> <div style="display:flex; width:100%; gap:0.3rem;"> <div style="flex:1; border:1px solid; padding:0.5rem; text-align:center;"> <b>Flow modeling</b> <br> Similarity theory, asymptotic methods, averaging, filtering, closure problems, turbulence models, multiscale methods, stochastic methods, ... </div> <div style="flex:1; border:1px solid; padding:0.5rem; text-align:center;"> <b>Mathematics</b> <br> Calculus, Gauss & Stokes theorem, Taylor series, interpolation, approximation, linear algebra, tensor analysis, ... </div> <div style="flex:1; border:1px solid; padding:0.5rem; text-align:center;"> <b>Computer Science</b> <br> Computer architecture, operating systems, programming languages (C/C++, Fortran, Python), computer arithmetic, floating point numbers, ... </div> </div> </div> CFD pyramid according to Prof. H. Schmidt (BTU) <h1 id="brainstorm">Brainstorm<a class="anchor" href="#brainstorm"></a></h1> <p><img src="https://sayyari.netlify.app/courses/nume/lectures/background/1-What-is-C-F-D/brainstorm.svg" alt="Brainstorm" /></p>https://sayyari.netlify.app/courses/nume/lectures/background/2-historical-background/Mon, 01 Jan 0001 00:00:00 +0000https://sayyari.netlify.app/courses/nume/lectures/background/2-historical-background/<h1 id="historical-background">Historical Background<a class="anchor" href="#historical-background"></a></h1>https://sayyari.netlify.app/courses/nume/lectures/background/3-experiment-vs-simulation/Mon, 01 Jan 0001 00:00:00 +0000https://sayyari.netlify.app/courses/nume/lectures/background/3-experiment-vs-simulation/<h1 id="experiment-vs-simulation">Experiment vs Simulation<a class="anchor" href="#experiment-vs-simulation"></a></h1>https://sayyari.netlify.app/courses/nume/lectures/background/4-examples/Mon, 01 Jan 0001 00:00:00 +0000https://sayyari.netlify.app/courses/nume/lectures/background/4-examples/<h1 id="examples">Examples<a class="anchor" href="#examples"></a></h1>