Three-dimensional transport modeling

Zheng C (1990) MT3D, A modular three-dimensional transport model for simulation of advection, dispersion, and chemical reactions of contaminants in groundwater systems. SS Papadopulos Associates, Rockville, MD... 

Several interesting theoretical papers have appeared dealing with molecular dynamics and excimer formation in polymer systems. Frank and coworkers have developed a model to describe the transport of electronic excitation energy in polymer chains. The theory applies to an isolated chain with a small concentration of randomly placed chromophores, and a three-dimensional transport model was used to solve the problem which is based on a diagrammatic expansion of the transport Green function. (The Green function is related to time-dependent and photostationary depolarization and to transient and steady-state trap fluorescence.) The analysis is shown to be... 

Huyakorn, P. S., Wu, Y. S., and Panday, S., 1992, A Comprehensive Three-Dimensional Numerical Model for Predicting the Transport and Fate of Petroleum Hydrocarbons in the Subsurface In Proceedings of the Petroleum Hydrocarbons and Organic Chemicals in Groundwater Conference, Water Well Journal Publishing Company, Dublin, OH, pp. 239-253. 

Goltz, MN (1986) Three dimensional analytical modeling of diffusion limited solute transport. PhD dissertation, Stanford University, Palo Alto CA... 

Chrysikopoulos CV (1995) Three-dimensional analytical models of contaminant transport from nonaqueous phase liquid pool dissolution in saturated subsurface formations. Water Resour Res 31 1137-1145... 

Srivastava, R. and Jim Yeh, T.C., A three-dimensional numerical model for water flow and transport of chemically reactive solute through porous media under variably saturated conditions, Adv. Water Resour., 15, 275, 1992. 

Pitari G. and Visconti G., Global transport of volcanic aerosol from El Chichon eruption studied with a three-dimensional circulation model. Geofisica Internacional , (to appear) 1984. 

To simulate the transport of sedimentary material in the water column over realistic topography, it is necessary to run a three-dimensional circulation model, which is extended by submodels describing the surface waves, (Schwab et al., 1984), the shear forces within the bottom boundary layer, and the resulting deposition and erosion processes at the seabed. 

In the Eulerian approach (Jankowski et al., 1996 Lou and Ridd, 1997 Holt and James, 1999 Ribbe and Holloway, 2001 Christiansen et al., 2002), a transport equation is solved for the sediment concentration. Recent studies (Kuhrts et al., 2004, 2006 Seifert et al., 2007) describe moving sedimentary material as a tracer variable in a three-dimensional circulation model. This approach combines a wave boundary layer (Grant and Madsen, 1979) and a friction layer (Smith and McLean, 1977) to compute the wave-induced and the current-induced contribution to the skin friction acting on the seabed. 

There is a striking contrast between our surface collision model in Ref. 7 and the formulas e.g. Ref. 22) used to relate t2 to the three-dimensional transport of spin label molecules. In the three-dimensional model, the spin labels are diffused by Brownian motion, in which case (18)... 

Denning, A. S., ct til. (1929). Three-dimensional transport and concentration of atmospheric CO. A model intercomparison study (TRANSCO.M 2). TcUhs, 51B, 266-297. 

Pai, P., and Tsang, T. H. (1993) On parallelization of time dependent three-dimensional transport equations in air pollution modeling, Atmos. Environ. 27A, 2009-2015. 

In addition to this, the three-dimensional mathematical model of heat and mass transfer [3, 4] has been developed. Stephan-Maxwell equation was used for mass transport calculations in gas channels and gas diffusion layers. Proton transport in membrane and electrocatalytic layer was described by Nemst-Planck equation. The diffusion and electroosmosis of water were taken into account for membrane potential distribution. 

The previous example was calculated with a common numerical model for flow-and conservative transport. The simulation of natural attenuation processes however, requires three-dimensional transport coupled with complex biochemical and chemical reactions. In the following example the numerical model TBC (Transport, Biochemistry and Chemistry Schafer et al., 1998A) is used to simulate natural attenuation processes in a heterogeneous aquifer. 

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