Simulation of pore-scale dispersion in periodic porous media using smoothed particle hydrodynamics

Yi Zhu; Patrick J. Fox

doi:10.1006/jcph.2002.7189

Simulation of pore-scale dispersion in periodic porous media using smoothed particle hydrodynamics

Yi Zhu, Patrick J. Fox

Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

80 Scopus citations

Abstract

A numerical model using smoothed particle hydrodynamics (SPH) for the simulation of pore-scale hydrodynamic dispersion is presented. The model is used to solve the Taylor dispersion problem and explore the characterization of dispersion as an asymptotic Fickian process. Discrete SPH particle data are analyzed using the method of moments. Simulations for pure tracer convection are used to calculate values of tortuosity and effective porosity for two-dimensional spatially periodic porous media. Tracer convection through such media cannot be described as an asymptotic Fickian-type process, even for large times, if the driving body force F is parallel to a line of media symmetry. If F is not parallel to a line of media symmetry, Fickian-type mixing is possible for tracer convection. An asymptotic Fickian approximation is valid for tracer dispersion through two-dimensional spatially periodic porous media when diffusion effects are included.

Original language	English (US)
Pages (from-to)	622-645
Number of pages	24
Journal	Journal of Computational Physics
Volume	182
Issue number	2
DOIs	https://doi.org/10.1006/jcph.2002.7189
State	Published - Nov 1 2002

All Science Journal Classification (ASJC) codes

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1006/jcph.2002.7189

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title = "Simulation of pore-scale dispersion in periodic porous media using smoothed particle hydrodynamics",

abstract = "A numerical model using smoothed particle hydrodynamics (SPH) for the simulation of pore-scale hydrodynamic dispersion is presented. The model is used to solve the Taylor dispersion problem and explore the characterization of dispersion as an asymptotic Fickian process. Discrete SPH particle data are analyzed using the method of moments. Simulations for pure tracer convection are used to calculate values of tortuosity and effective porosity for two-dimensional spatially periodic porous media. Tracer convection through such media cannot be described as an asymptotic Fickian-type process, even for large times, if the driving body force F is parallel to a line of media symmetry. If F is not parallel to a line of media symmetry, Fickian-type mixing is possible for tracer convection. An asymptotic Fickian approximation is valid for tracer dispersion through two-dimensional spatially periodic porous media when diffusion effects are included.",

author = "Yi Zhu and Fox, {Patrick J.}",

note = "Funding Information: The authors extend their sincere thanks to Dr. Joseph P. Morris of Lawrence Livermore National Laboratory for many insightful discussions regarding the use of SPH to model dispersion. This work was sponsored by the Air Force Office of Scientific Research, USAF, under Grant F49620-96-1-0020. The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of the Air Force Office of Scientific Research or the U.S. Government.",

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doi = "10.1006/jcph.2002.7189",

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AU - Fox, Patrick J.

N1 - Funding Information: The authors extend their sincere thanks to Dr. Joseph P. Morris of Lawrence Livermore National Laboratory for many insightful discussions regarding the use of SPH to model dispersion. This work was sponsored by the Air Force Office of Scientific Research, USAF, under Grant F49620-96-1-0020. The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of the Air Force Office of Scientific Research or the U.S. Government.

PY - 2002/11/1

Y1 - 2002/11/1

N2 - A numerical model using smoothed particle hydrodynamics (SPH) for the simulation of pore-scale hydrodynamic dispersion is presented. The model is used to solve the Taylor dispersion problem and explore the characterization of dispersion as an asymptotic Fickian process. Discrete SPH particle data are analyzed using the method of moments. Simulations for pure tracer convection are used to calculate values of tortuosity and effective porosity for two-dimensional spatially periodic porous media. Tracer convection through such media cannot be described as an asymptotic Fickian-type process, even for large times, if the driving body force F is parallel to a line of media symmetry. If F is not parallel to a line of media symmetry, Fickian-type mixing is possible for tracer convection. An asymptotic Fickian approximation is valid for tracer dispersion through two-dimensional spatially periodic porous media when diffusion effects are included.

AB - A numerical model using smoothed particle hydrodynamics (SPH) for the simulation of pore-scale hydrodynamic dispersion is presented. The model is used to solve the Taylor dispersion problem and explore the characterization of dispersion as an asymptotic Fickian process. Discrete SPH particle data are analyzed using the method of moments. Simulations for pure tracer convection are used to calculate values of tortuosity and effective porosity for two-dimensional spatially periodic porous media. Tracer convection through such media cannot be described as an asymptotic Fickian-type process, even for large times, if the driving body force F is parallel to a line of media symmetry. If F is not parallel to a line of media symmetry, Fickian-type mixing is possible for tracer convection. An asymptotic Fickian approximation is valid for tracer dispersion through two-dimensional spatially periodic porous media when diffusion effects are included.

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Simulation of pore-scale dispersion in periodic porous media using smoothed particle hydrodynamics

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