Contamination transport into saturated land upon advection-diffusionsorption including decay

SOLUTION OF ADVECtION-DOMINATED TRANSPORT

We provide a s:lfstemat.1c analysts of thl:: consistency. stability. convergence and accuracy of the numerical solution of the transport equation by a general Eulerian-Lagrangian Method (ELM). Tbe method involves three basic steps: the backwards trackln~ of characteristIc lines follo\1ing the flow. the interpolation of concentrations at the feet of these lines. and the solution of dispersion ta...

Land contamination and renal dysfunction.

Efficient mass transport by optical advection

Advection is critical for efficient mass transport. For instance, bare diffusion cannot explain the spatial and temporal scales of some of the cellular processes. The regulation of intracellular functions is strongly influenced by the transport of mass at low Reynolds numbers where viscous drag dominates inertia. Mimicking the efficacy and specificity of the cellular machinery has been a long t...

Incremental Remapping as a Transport/Advection Algorithm

There are two fundamentally different strategies for solving the standard transport or continuity equation, corresponding to whether it is expressed as a partial differential equation or as an integral statement of conservation. The more common approach is to discretize the partial differential equation and to march the solution forward in time. The alternative method is to project cell volumes...

Subordinated Advection-dispersion Equation for Contaminant Transport

A mathematical method called subordination broadens the applicability of the classical advection--dispersion equation for contaminant transport. In this method, the time variable is randomized to represent the operational time experienced by different particles. In a highly heterogeneous aquifer, the operational time captures the fractal properties of the medium. This leads to a simple, parsimo...

Scalar variance decay in chaotic advection and Batchelor-regime turbulence.

The decay of the variance of a diffusive scalar in chaotic advection flow (or equivalently Batchelor-regime turbulence) is analyzed using a model in which the advection is represented by an inhomogeneous baker's map on the unit square. The variance decays exponentially at large times, with a rate that has a finite limit as the diffusivity kappa tends to zero and is determined by the action of t...