A comparison of different methods for representing the hydrodynamic tensor in numerical models
Reeve, C.E. (1989). A comparison of different methods for representing the hydrodynamic tensor in numerical models. Natuurwet. Tijdschr. 70(1-4): 165-173
In: Natuurwetenschappelijk Tijdschrift. L. Walschot/Natuur- en Geneeskundige Vennootschap: Gent. ISSN 0770-1748, more
Also appears in:De Breuck, W.; Walschot, L. (Ed.) (1989). Proceedings of the 10th Salt-Water Intrusion Meeting Ghent (Belgium), 16-20 May 1988. Natuurwetenschappelijk Tijdschrift, 70(1-4). Natuurwetenschappelijk Tijdschrift: Gent. 408 pp., more
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| Keywords |
Fronts > Oceanic fronts > Estuarine front
Models > Mathematical models
Physics > Mechanics > Fluid mechanics > Hydrodynamics
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| Abstract |
In coastal aquifers where the width of the transition zone between the heavier salt water and the overlying lighter fresh water is large relative to the thickness of the aquifer the effect of dispersion needs to be considered. Numerical models of these aquifers simulate this effect through a term representing hydrodynamic dispersion. Over the last 30 years, a number of methods for representing this term have been reported. In this study, a numerical model is used to compare three of these methods both in the presence and absence of well abstraction.A steady-state model is utilized which takes account of density variations due to the salt. The model is used to simulate flow in a 2-D vertical section of aquifer perpendicular to the coast. Spatial discretisation is carried out using tbe Galerkin Finite Element method with linear basis functions and isoparametric quadrilaterals. The abstraction well is represented as a line source which extends throughout the depth of the confined, homogeneous, isotropic aquifer which is simulated. The hydrodynamic dispersion tensor is represented as being constant, linearly dependent on the flow velocity perpendicular to the coast and by the method described by Bear. |
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