The ‘front limitation’ algorithm A new and fast finite-difference method for groundwater pollution problems

Haêfner, F.; Boy, Siegrun; Wagner, Steffen; Behr, Aron; Piskarev, Vladimir; Palatnik, B.

doi:10.1016/s0169-7722(96)00089-7

Cited by 11 publications

(5 citation statements)

References 5 publications

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“…The boundary conditions of zero ponding depth at x = 0, and the initial condition of h = 0 for x > 0 were used. The front limitation algorithm (Haefner et al , 1997) was applied to solve the bacteria transport Equations (5), (6), and (7). The Dirichlet boundary condition of zero concentration and the Neumann boundary condition of zero concentration gradient were set at the inlet and outlet boundaries, respectively, and a constant initial concentration C r = 0 at x > 0 was assumed for Equation (5) at the absence of surface water.…”

Section: Methodsmentioning

confidence: 99%

Uncertainty in modelling of faecal coliform overland transport associated with manure application in Maryland

Guber

Pachepsky

Yakirevich

et al. 2011

Hydrological Processes

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Concerns for microbial safety of surface water facilitate development of predictive models that estimate concentrations and total numbers of pathogen and indicator organisms leaving manure‐fertilized fields in overland flow during runoff events. Spatial variability of bacterial concentrations in applied manure introduces high uncertainty in the model predictions. The objective of this work was to evaluate the uncertainty in model predictions of the manure‐borne bacteria overland transport caused by limited information on the spatial distribution of bacteria in surface‐applied manure. Experiments were carried out at the ARS Beltsville experimental watershed site (OPE3) in Maryland. Dairy bovine manure was applied at a 59·3 t/ha rate on the 3·55 hectare experimental field. Faecal coliform (FC) concentrations in manure measured in 2004, 2005, 2007, and 2009 varied by 4 orders of magnitude each year. Both runoff volume and FC concentrations in runoff water were monitored using a runoff flume equipped with a refrigerated pump sampler. Two runoff events occurred before the manure was incorporated into the soil. A bacteria transport add‐on module simulator of transport with infiltration and runoff (STWIR) was linked with the event‐based kinematic runoff and erosion model (KINEROS2) to simulate convective‐dispersive overland transport, bacteria release from manure, reversible attachment–detachment to soil, and surface straining of infiltrating bacteria. The model was successfully calibrated with the field experiment data. Monte Carlo simulations were carried out to account for the spatial variation in FC in applied manure and uncertainty in the FC distribution in manure caused by the small number of samples. A tenfold and twofold variation in FC concentrations in the runoff were obtained within the 90% probability interval when initial FC spatial distributions in the manure were represented by 5 and 29 samples, respectively. Copyright © 2011 John Wiley & Sons, Ltd.

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Section: Methodsmentioning

confidence: 99%

Uncertainty in modelling of faecal coliform overland transport associated with manure application in Maryland

Guber

Pachepsky

Yakirevich

et al. 2011

Hydrological Processes

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“…The KINEROS2 numerical code (Woolhiser et al, 1990) was used to solve the flow equation. The front limitation algorithm (Haefner et al, 1997) was applied for solving the solute transport equations.…”

Section: Methodsmentioning

confidence: 99%

Uncertainty Evaluation of Coliform Bacteria Removal from Vegetated Filter Strip under Overland Flow Condition

et al. 2009

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Vegetated filter strips (VFS) have become an important component of water quality improvement by reducing sediment and nutrients transport to surface water. This management practice is also beneficial for controlling manure-borne pathogen transport to surface water. The objective of this work was to assess the VFS efficiency and evaluate the uncertainty in predicting the microbial pollutant removal from overland flow in VFS. We used the kinematic wave overland flow model as implemented in KINEROS2 coupled with the convective-dispersive overland transport model which accounts for the reversible attachment-detachment and surface straining of infiltrating bacteria. The model was successfully calibrated with experimental data obtained from a series of simulated rainfall experiments at vegetated and bare sandy loam and clay loam plots, where fecal coliforms were released from manure slurry applied on the top of the plots. The calibrated model was then used to assess the sensitivity of the VFS efficiency to the model parameters, rainfall duration, and intensity for a case study with a 6-m VFS placed at the edge of 200-m long field. The Monte Carlo simulations were also performed to evaluate the uncertainty associated with the VFS efficiency given the uncertainty in the model parameters and key inputs. The VFS efficiency was found to be <95% in 25%, <75% in 23%, and <25% in 20% of cases. Relatively long high-intensity rainfalls, low hydraulic conductivities, low net capillary drives of soil, and high soil moisture contents before rainfalls caused the partial failure of VFS to retain coliforms from the infiltration excess runoff.

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“…The transport equations were solved by using an implicit finite differences method and applying the front limitation algorithm [28]. The space step was 10 m, while the time step varied to fit both stability criteria to solve the Saint-Venant equation and to keep the Courant number to be less than 0.5 for the transport equation solution.…”

Section: Initial and Boundary Conditions Numerical Solutionmentioning

confidence: 99%

Transport of Conservative and “Smart” Tracers in a First-Order Creek: Role of Transient Storage Type

Yakirevich

Shelton

Hill

et al. 2017

Water

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Using "smart" tracers such as Resazurin (Raz) allows assessment of sediment-water interactions and associated biological activity in streams. We compared two approaches to simulate the effects of transient storage (TS) on the transport of conservative and reactive tracers. The first approach considered TS as composed of metabolically active and metabolically inactive compartments, while the second model approach accounted for the surface transient storage (STS) and hyporheic transient storage (HTS). Experimental data were collected at a perennial first-order creek in Maryland, MD, USA, by injecting the conservative tracer bromide (Br) and the reactive (Raz) tracer and sampling water at two weir stations. The STS-HTS approach led to a more accurate simulation of Br transport and tails of the Raz and its product Rezorufin (Rru) breakthrough curves. Sediments support large microbial communities, and the STS-HTS model in creeks provides additional parameters to characterize the habitats of microbial water-quality indicator organisms.

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The ‘front limitation’ algorithm A new and fast finite-difference method for groundwater pollution problems

Cited by 11 publications

References 5 publications

Uncertainty in modelling of faecal coliform overland transport associated with manure application in Maryland

Uncertainty in modelling of faecal coliform overland transport associated with manure application in Maryland

Uncertainty Evaluation of Coliform Bacteria Removal from Vegetated Filter Strip under Overland Flow Condition

Transport of Conservative and “Smart” Tracers in a First-Order Creek: Role of Transient Storage Type

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