Numerical Modeling of Financially Sustainable Urban Wastewater Systems
| dc.contributor.author | Shadpour, Atefeh | |
| dc.date.accessioned | 2016-08-02T13:38:13Z | |
| dc.date.available | 2016-08-02T13:38:13Z | |
| dc.date.issued | 2016-08-02 | |
| dc.date.submitted | 2016-07-26 | |
| dc.description.abstract | A system dynamics model first developed using the software Stella 7.0.2, which explores the complex behavior of the financially sustainable management of water distribution infrastructure, was converted here into a system of coupled non-linear algebraic differential equations (DAEs). Each differential equation involved a time derivative on a primary variable specifying the temporal evolution of the system. In addition, algebraic (secondary) equations and variables specified the non-linearity inherent in the system as well as any controls on the primary variables constraining the physical evolution of the system relevant to the problem at hand. While Stella employed a Runge-Kutta numerical strategy, the numerical DAE method used a fully-explicit, fully-implicit and Crank-Nicolson Euler scheme combined with a fixed-point iteration to resolve the non-linearity. The Runge-Kutta and numerical DAE solutions deviate markedly when the non-linearity of the system becomes pronounced. I demonstrate point-wise stability of the numerical DAE solution as the timestep is refined. Furthermore, the refined numerical DAE solution does not exhibit any of the spurious oscillations inherent in the Runge-Kutta solution and is physically correct for the problem at hand. | en |
| dc.identifier.uri | http://hdl.handle.net/10012/10602 | |
| dc.language.iso | en | en |
| dc.pending | false | |
| dc.publisher | University of Waterloo | en |
| dc.subject | System dynamics | en |
| dc.subject | Differential algebraic equations | en |
| dc.subject | Numerical methods | en |
| dc.subject | Point-wise stability. | en |
| dc.title | Numerical Modeling of Financially Sustainable Urban Wastewater Systems | en |
| dc.type | Master Thesis | en |
| uws-etd.degree | Master of Science | en |
| uws-etd.degree.department | Earth and Environmental Sciences | en |
| uws-etd.degree.discipline | Civil Engineering | en |
| uws-etd.degree.grantor | University of Waterloo | en |
| uws.contributor.advisor | Unger, Andre | |
| uws.contributor.advisor | Knight, Mark | |
| uws.contributor.affiliation1 | Faculty of Science | en |
| uws.peerReviewStatus | Unreviewed | en |
| uws.published.city | Waterloo | en |
| uws.published.country | Canada | en |
| uws.published.province | Ontario | en |
| uws.scholarLevel | Graduate | en |
| uws.typeOfResource | Text | en |