Mathematical modeling of river flows

undergraduate thesis

• Title (croatian): Matematičko modeliranje riječnih tokova
• Author: Aleksandra Brenko
• Mentor: Miroslav Jerković (mentor)
• Committee member: Miroslav Jerković (predsjednik povjerenstva)
• Committee member: Marija Vuković Domanovac (član povjerenstva)
• Committee member: Dajana Kučić Grgić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Chemical Engineering and Technology; Zagreb
• Defense date and country: 2021-09-23, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

In this paper, we will provide an overview of some types and applications of mathematical models used for simulating river flow which can be of use in environmental engineering. These include models useful for environmental impact assessment, pollution degradation speed and thermal pollution monitoring. Since all of the above is based in part on turbulence modelling, we will give the most attention to turbulence models, such as SVE and RANS. We will first get acquainted with the underlying physics of river processes, the mathematical formulations and their simplifications. Then, we will provide an overview of popular modelling techniques for turbulence, thermal, and chemical pollution transport. After that, we will explain how the actual river parameter values are acquired, give numerical solutions for solving the differential equations and finally, present the process of setting up a preliminary river model in HEC-RAS software.

Abstract (croatian)

Cilj ovog rada je pregled vrsta i namjena matematičkih modela za simuliranje riječnih tokova koji mogu biti od koristi u ekoinženjerstvu. To uključuje modele korisne za procjenu utjecaja na okoliš, brzinu razgradnje polutanata i monitoring termalnog zagađenja. Budući da je sve navedeno ovisno na fenomenu turbulencije, najviše pažnje posvetili smo modelima turbulencije, kao što su SVE i RANS. Prvo ćemo se upoznati s fizikalnim zakonima riječnih procesa, njihovim matematičkim formulacijama i pojednostavljenjima, i napraviti pregled popularnih metoda za modeliranje turbulencije, transporta topline i transporta tvari. Zatim ćemo se upoznati s tehnikama prikupljanja podataka, i numeričkim shemama za rješavanje diferencijalnih jednadžbi, i na kraju prikazati proces postavljanja baze za matematičko modeliranje u programu HEC-RAS.

• Keywords: mathematical modeling; river modeling; environmental engineering; HEC-RAS
• Keywords (croatian): matematičko modeliranje; modeliranje rijeke; inženjerstvo okoliša; HEC-RAS
• Language: english
• URN:NBN: urn:nbn:hr:149:208695
• Study programme: Title: Environmental Engineering - Undergraduate study; Study programme type: university; Study level: undergraduate; Academic / professional title: sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka ekoinženjerstva (sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka ekoinženjerstva)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Closed access
• Created on: 2023-03-24 13:43:25