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1. Shabangu, Patrick Eminet. Investigation of a simplified open boundary condition for coastal and shelf sea hydrodynamic models.
Degree: MSc, 2015, Stellenbosch University
ENGLISH ABSTRACT : In general, coastal and shelf hydrodynamic modelling is undertaken with limited area numerical models such as Delft3D or Mike 21. To conduct successful numerical simulations these programmes require appropriate boundary conditions. Various options exist to obtain boundary conditions such as Neumann conditions, specifying water levels, specifying velocities and combination of these, amongst others. In this study one specific method is investigated, namely the specification of water levels on all the open boundaries using a "reduced physics" approach. This method may be more appropriate than Neumann conditions when the domain is fairly large and is also of particular interest as it allows measured data to be incorporated in the boundary conditions, although the latter was not considered in this study. The boundary conditions of interest are determined by separating the crossshore and alongshore components of the momentum equations. To justify the separation, the equations of motion are firstly non-dimensionalised to determine the relative importance of various terms and then scaled to determine under which conditions the cross-shore and alongshore components can be solved independently. The efficacy of a computer program, Tilt, to calculate the open boundary conditions have been investigated for a number of idealised cases. Based on an understanding of the underlying physics and scaling assumptions, situations where these open boundary conditions underperformed have been analysed and reasons given for their underperformance. When applied to "real-life" situations it is likely that one or more of the scaling assumptions will be violated. Comment is provided on the likely errors in model simulations should this occur. The main conclusions are that the "reduced physics" approach used in Tilt restricts fairly significantly the range of flow that can be simulated. Should the scaling assumptions underlying Tilt be satisfied, Tilt performs adequately for limited area model simulations of coastal and shelf regions, however there remain some concerns: • The no flux condition at the coast and clamped water level offshore
AFRIKAANSE OPSOMMING : Oor die algemeen word kus en kontinentale bank hidrodinamiese modellering met beperkte area numeriese modelle soos Delft3D of Mike 21 gedoen. Om suksesvolle simulasies te doen, benodig hierdie programme geskikte randwaardes. Daar bestaan verskeie opsies om randwaardes te verkry soon byvoorbeeld Neuman kondisies, spesifisering van watervlakke, spesifisering van snelheid en kombinasies van hierdie. In hierdie studie word een spesifieke metode ondersoek, naamlik om watervlakke op al die oop rande te spesifiseer deur ’n "gereduseerde fisika" benadering te gebruik. Hierdie metode is meer van toepassing as Neuman randwaardes wanneer die modelleringsgebied redelik groot is en ook van spesifieke belang aangesien dit die inkorporering van gemete data in die randwaardes moontlik maak, alhoewel laasgenoemde nie in hierdie studie ondersoek…Advisors/Committee Members: Smit, G. J. F., Diedericks, G. P. J., Van Ballegooyen, R. C., Stellenbosch University. Faculty of Science. Department of Applied Mathematics..
Subjects/Keywords: Ocean – Coast boundary condition; Mathematical models – Computer Programmes; Mathematical models – Computer software; UCTD; Oceanography – Mathematical models; Hydrodynamics – Mathematical models; Hydrodynamics – Computer programs
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APA (6th Edition):
Shabangu, P. E. (2015). Investigation of a simplified open boundary condition for coastal and shelf sea hydrodynamic models. (Masters Thesis). Stellenbosch University. Retrieved from http://hdl.handle.net/10019.1/96839
Chicago Manual of Style (16th Edition):
Shabangu, Patrick Eminet. “Investigation of a simplified open boundary condition for coastal and shelf sea hydrodynamic models.” 2015. Masters Thesis, Stellenbosch University. Accessed September 30, 2020. http://hdl.handle.net/10019.1/96839.
MLA Handbook (7th Edition):
Shabangu, Patrick Eminet. “Investigation of a simplified open boundary condition for coastal and shelf sea hydrodynamic models.” 2015. Web. 30 Sep 2020.
Shabangu PE. Investigation of a simplified open boundary condition for coastal and shelf sea hydrodynamic models. [Internet] [Masters thesis]. Stellenbosch University; 2015. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10019.1/96839.
Council of Science Editors:
Shabangu PE. Investigation of a simplified open boundary condition for coastal and shelf sea hydrodynamic models. [Masters Thesis]. Stellenbosch University; 2015. Available from: http://hdl.handle.net/10019.1/96839