Introduction to Modelling Presentation by: Omar Wani, Mahmood Mahmoodian
Models: What comes to mind? Source: http://www.fashionmagazine247.com/ http://www.steampoweredclassroom.com/wp-content/uploads/2011/09/dsc06860.jpg
What comes to mind? Source: http://www.fashionmagazine247.com/ http://www.steampoweredclassroom.com/wp-content/uploads/2011/09/dsc06860.jpg
Models in Science Observing something (Experimentation) • Finding a rule (Hypothesis) • Checking whether the rule is right (Verification) • http://svitalsky.com/illustrations/vedec.gif
Finding the rules of the game Dominos falling The number of dominos and the time of complete fall are related If we double the number of dominos, the time of fall increases twofold https://origin.ih.constantcontact.com/fs132/1100617686073/img/169.jpg
Finding the rules of the game http://wallpoper.com/images/00/35/81/27/chess-board_00358127.jpg
Models for Environment • Rainfall causes stream flow • More rainfall means more streamflow • And more rainfall means more sediments http://hydrology.asu.edu/wiki/images/Model.jpg
Different Environment Models • For rainfall • For flow • For water quality • For ground water • For drainage • For evaporation • etc
Physical modelling Physical model is a smaller or larger physical copy of an object that we would like to study its behaviour. A physical model of something large is usually smaller, and of something very small is larger. Solar system: Source: [1] Source: [2] Water molecules: Source: [3] Source: [4] A Physical model allows visualization from examining the model.
Examples: Analysis of rivers, floods and design of flood mitigation structures: Source: [5] Source: [6] Source: [7] Testing of flow patterns and scour around bridge piers: Source: [10] Source: [8] Source: [9]
Examples: Design of harbor and lake flushing: Source: [11] Source: [12] Design of dam and analysis of its failure! Source: [13] Source: [14] Source: [15]
Examples: Sediment transport in a river: Source: [16] Source: [17] Even Tsunami analysis! Advantages of a physical model: You can understand better your system by • visualization. • You can improve it. • You can have a proof of concept. Sometimes you can use it to predict the • behaviour of the real system. • Disadvantages: • Sometimes it can be expensive, time- consuming and maybe inaccurate! Source: [18] Video: Source: [20]
Mathematics of a model From simple 𝐺𝑚𝑝𝑥 = 𝑙 × 𝑄𝑓𝑠𝑑𝑓𝑜𝑢𝑏𝑓 𝑝𝑞𝑓𝑜 To complex http://www.intechopen.com/source/html/ 42580/media/image2.jpeg
Mathematics of a model From common sense 𝑈𝑝𝑢𝑏𝑚 𝑃𝑣𝑢 = 𝐽𝑜 − 𝑡𝑢𝑝𝑠𝑏𝑓 To uncommon sense https://safetygonesane.files.wordpress.com/2013/01/waterways3_rospa_owned_dsc_0309-1.jpg
Using Computers
What Actual Models Look Like Details to fill
What Actual Models Look Like Or this (better visualization)
Questions? http://cdn.toonvectors.com/images/35/15669/toonvectors-15669-940.jpg
Sources: http://new.mhl.nsw.gov.au/PhysicalModelling https://en.wikipedia.org Sources of photos and video: 1. http://www.lifehacker.com.au/2015/07/lifehacker-test-how-well-do-you-know-the-planets-in-our-solar-system/ 2. http://www.exploratorium.edu/ronh/solar_system/ 3. http://phys.org/news/2010-04-molecule.html 4. http://sweetpics.site/h/how-to-make-a-water-molecule-model.html 5. http://www.vaw.ethz.ch/people/fb/hifloria/projects/data/fb_sihldurchlaesse_hbz_im_hyd_modellversuch 6. https://www.baw.de/EN/die_baw/technische_ausstattung/technische_ausstattung.html?id=20328b13cb23ec335ea315415b bd95c3 7. http://www.tidallagoonswanseabay.com/the-project/coastal-and-flood-defences/55 8. http://file.scirp.org/Html/15-8101734_25109.htm 9. http://www.fhwa.dot.gov/publications/research/infrastructure/hydraulics/12022/004.cfm 10. : http://www.vaw.ethz.ch/people/wb/archive/wb_223_scour_prot_plunge_dietikon_weir 11. http://www.sfakia-crete-forum.com/read.php?3,1233 12. http://www.yelp.com/biz/bay-model-visitor-center-sausalito 13. http://www.mdba.gov.au/sites/default/files/archived/annualreports/mdbc/AR_2007-08/enlarge/dartmouth-dam.htm 14. https://www.reddit.com/r/videos/comments/2yw9m3/model_of_a_dam_failure 15. http://www.nhcweb.com/muskrat-falls-physical-modeling.asp 16. http://www.stillwatersci.com/case_studies.php?cid=17 17. http://www.appstate.edu/~liutkuscm/T eaching.html 18. http://www.popularmechanics.com/technology/infrastructure/a17680/highest-man-made-waves/ 20. https://www.youtube.com/watch?v=X3lCXHxVFzU This project has received funding from the European Union’s Seventh Framework Programme for research, technological development and demonstration under grant agreement no 607000
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