Two‐Dimensional Mass Transport in Estuaries

Lung, Wu‐Seng; O’Connor, Donald J.

doi:10.1061/(asce)0733-9429(1984)110:10(1340)

Cited by 19 publications

(7 citation statements)

References 13 publications

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“…the effective stresses in (3, (6), (9) and (10) represent the composite actions resulting from turbulence and molecular diffusion and dispersion. Here Cf is the resistance coefficient at the bed (Cf= n2g/h"3 for the natural situation, where n is the Manning coefficient and h = (( -Z, , = hu+hJ is the total depth) and u* and v* are the depth-averaged velocity components in the 5-and ?-directions respectively, i.e.…”

Section: (3) Thusmentioning

confidence: 99%

“…In this step the convection and diffusion terms are first separated from the momentum equations (5), (6), (9) and (lo), i.e. the following equations are solved (k = u, 1):…”

Section: Advection and Difusionji-actional Stepmentioning

confidence: 99%

“…The horizontal acceleration terms are At the bed, z = Z,(t, 9); we can obtain the boundary condition at the bottom face as…”

Section: Governing Equations For Two-layer-averaged Yowmentioning

confidence: 99%

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Numerical solution of two‐layer, two‐dimensional tidal flow in a boundary‐fitted orthogonal curvilinear co‐ordinate system

Chau

Jin

1995

Numerical Methods in Fluids

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SUMMARYA new two-layer, two-dimensional mathematical model employing a finite difference method based on numerically generated boundary-fitted orthogonal co-ordinates and a grid 'block' technique for unsteady boundary problems is developed which can be used to simulate flows with density stratification in a natural water-body with complicated topography. In the model the turbulent exchange across the interface is treated empirically and a timesplitting finite difference method with two fractional steps is employed to solve the governing equations. The model is calibrated and verified by comparing the computational results with data measured in Tolo Harbour, Hong Kong. The simulation results mimic the field measurements very closely. The computation shows that the model reproduces the two-layer, two-dimensional tidal flow with density stratification in Tolo Harbour very well. The computed velocity hodographs show that the tidal circulations at various positions in each layer have different patterns and that the features of the patterns are independent of the tidal type except for their scales. The computed Lagrangian pathlines show that the tidal excursion is dependent on the tidal type, especially in the inner harbour and side-coves.

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Section: (3) Thusmentioning

confidence: 99%

“…In this step the convection and diffusion terms are first separated from the momentum equations (5), (6), (9) and (lo), i.e. the following equations are solved (k = u, 1):…”

Section: Advection and Difusionji-actional Stepmentioning

confidence: 99%

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Numerical solution of two‐layer, two‐dimensional tidal flow in a boundary‐fitted orthogonal curvilinear co‐ordinate system

Chau

Jin

1995

Numerical Methods in Fluids

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“…[1][2][3][4][5][6][7][8]). In [5] an eutrophication models for simulation of seasonal algae concentrations prior to fertilizer application are developed.…”

Section: Introductionmentioning

confidence: 99%

“…In [5] an eutrophication models for simulation of seasonal algae concentrations prior to fertilizer application are developed. These models led to computer implementation of the methodology developed in [7,8] and a number of computer simulations. Further in [6] a three-dimensional numerical eutrophication model has been developed.…”

Section: Introductionmentioning

confidence: 99%

Modeling and simulation of pollutants transport in rivers

Kachiashvili

Gordeziani

Lazarov

et al. 2007

Applied Mathematical Modelling

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This paper is devoted to mathematical modeling and computer simulation of diffusion and transport of chemicals in rivers. We present one-, two-, and three-dimensional models in terms of time-dependent convection-diffusion-reaction differential equations, further we give the finite difference approximation and appropriate numerical algorithms for these models, and finally we discuss briefly the computer implementation of this methodology in a user friendly software package. To verify the model and the computer code we have used it to study the diffusion and transport of chemicals, in this case NO 3 and PO 4 , in two rivers in Western Georgia flowing into the Black Sea. Namely, we considered the river Khobistskali subject to pollution sources Ochkhomuri and Chanistskali river Choga polluted with NO 3 .In order to evaluate the quality, the accuracy, and the performance of the methods and the developed software we have applied one-, two-and three-dimensional models to the same case, for which we had data from measurements. By analyzing the difference between the measured and the simulated values of controlled chemicals in the rivers, we have estimated the effect of agricultural activities along the banks of the river (in the interval between two sections) on the pollution degree of the Khobistskali river. In this sense, the example is schematic, since the number, the arrangement, and the capacities of pollution sources of Khobistskali only partially correspond to the real situation. Though, the geometry of the rivers, the arrangement of the control sections, and the concentrations of polluting substances in the rivers matches well the real data.

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Predicting concentrations of consumer product chemicals in estuaries

Lung

Franco

Rapaport

1990

Enviro Toxic and Chemistry

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About 25 to 30% of all United States (U.S.) publicly owned treatment works (POTW) discharges enter estuaries and coastal waters. An expert system has been developed to model the fate and transport of chemicals discharged from POTWs into estuaries. Each POTW has been classified as one of four groups: primary, trickling filter, lagoon and activated sludge in terms of treatment level. The system is designed to calculate concentrations under 7‐d 10‐year low flow, summer low flow and annual mean flow conditions. To account for varying mixing characteristics and salinity distributions observed in a given estuary, the system includes one‐dimensional and two‐dimensional (longitudinal and vertical) mass transport algorithms. To date, the modeling framework has been applied to nine estuaries. For validation purposes, biochemical oxygen demand (BOD) concentrations are also predicted based on industrial as well as municipal organic carbon loads. In several estuaries, predicted in‐stream BOD levels have been compared to measured BOD data resulting in successful model validation. The validated models are then used to predict linear alkylbenzene sulfonate (LAS) concentrations in estuaries. These LAS concentrations are found to be less than 20 μg/L in these estuaries under the three flow conditions.

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Two‐Dimensional Mass Transport in Estuaries

Cited by 19 publications

References 13 publications

Numerical solution of two‐layer, two‐dimensional tidal flow in a boundary‐fitted orthogonal curvilinear co‐ordinate system

Numerical solution of two‐layer, two‐dimensional tidal flow in a boundary‐fitted orthogonal curvilinear co‐ordinate system

Modeling and simulation of pollutants transport in rivers

Predicting concentrations of consumer product chemicals in estuaries

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