Random walk particle tracking simulations of nonFickian transport in heterogeneous media
Abstract
Derivations of continuum nonlocal models of nonFickian (anomalous) transport require assumptions that might limit their applicability. We present a particlebased algorithm, which obviates the need for many of these assumptions by allowing stochastic processes that represent spatial and temporal random increments to be correlated in space and time, be stationary or nonstationary, and to have arbitrary distributions. The approach treats a particle trajectory as a subordinated stochastic process that is described by a set of Langevin equations, which represent a continuous time random walk (CTRW). Convolutionbased particle tracking (CBPT) is used to increase the computational efficiency and accuracy of these particlebased simulations. The combined CTRWCBPT approach enables one to convert any particle tracking legacy code into a simulator capable of handling nonFickian transport.
 Authors:

 Earth and Environmental Sciences Division, Los Alamos National Laboratory, Los Alamos, New Mexico (United States)
 Department of Environmental Sciences and Energy Research, Weizmann Institute of Science, Rehovot (Israel)
 Publication Date:
 OSTI Identifier:
 21333909
 Resource Type:
 Journal Article
 Journal Name:
 Journal of Computational Physics
 Additional Journal Information:
 Journal Volume: 229; Journal Issue: 11; Other Information: DOI: 10.1016/j.jcp.2010.02.014; PII: S00219991(10)000872; Copyright (c) 2010 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 00219991
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGORITHMS; GRAPH THEORY; LANGEVIN EQUATION; PARTICLES; RANDOMNESS; SIMULATION; SIMULATORS; STOCHASTIC PROCESSES; TRANSPORT THEORY
Citation Formats
Srinivasan, G., Tartakovsky, D.M., Dentz, M., Viswanathan, H, Berkowitz, B, and Robinson, B A. Random walk particle tracking simulations of nonFickian transport in heterogeneous media. United States: N. p., 2010.
Web. doi:10.1016/j.jcp.2010.02.014.
Srinivasan, G., Tartakovsky, D.M., Dentz, M., Viswanathan, H, Berkowitz, B, & Robinson, B A. Random walk particle tracking simulations of nonFickian transport in heterogeneous media. United States. doi:10.1016/j.jcp.2010.02.014.
Srinivasan, G., Tartakovsky, D.M., Dentz, M., Viswanathan, H, Berkowitz, B, and Robinson, B A. Tue .
"Random walk particle tracking simulations of nonFickian transport in heterogeneous media". United States. doi:10.1016/j.jcp.2010.02.014.
@article{osti_21333909,
title = {Random walk particle tracking simulations of nonFickian transport in heterogeneous media},
author = {Srinivasan, G. and Tartakovsky, D.M. and Dentz, M. and Viswanathan, H and Berkowitz, B and Robinson, B A},
abstractNote = {Derivations of continuum nonlocal models of nonFickian (anomalous) transport require assumptions that might limit their applicability. We present a particlebased algorithm, which obviates the need for many of these assumptions by allowing stochastic processes that represent spatial and temporal random increments to be correlated in space and time, be stationary or nonstationary, and to have arbitrary distributions. The approach treats a particle trajectory as a subordinated stochastic process that is described by a set of Langevin equations, which represent a continuous time random walk (CTRW). Convolutionbased particle tracking (CBPT) is used to increase the computational efficiency and accuracy of these particlebased simulations. The combined CTRWCBPT approach enables one to convert any particle tracking legacy code into a simulator capable of handling nonFickian transport.},
doi = {10.1016/j.jcp.2010.02.014},
journal = {Journal of Computational Physics},
issn = {00219991},
number = 11,
volume = 229,
place = {United States},
year = {2010},
month = {6}
}