Lagrangian simulations of unstable gravity-driven flow of fluids with variable density in randomly heterogeneous porous media

A. M. Tartakovsky

doi:10.1007/s00477-010-0402-3

Lagrangian simulations of unstable gravity-driven flow of fluids with variable density in randomly heterogeneous porous media

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

Abstract

A new Lagrangian particle model based on smoothed particle hydrodynamics (SPH) is developed and used to simulate Darcy scale flow and transport in porous media. The method has excellent conservation properties and treats advection exactly. The Lagrangian method is used in stochastic analysis of miscible density-driven fluid flows. Results show that heterogeneity significantly increases dispersion and slows development of Rayleigh-Taylor instability. The presented numerical examples illustrate the advantages of Lagrangian methods for stochastic transport simulations.

Original language	English (US)
Pages (from-to)	993-1002
Number of pages	10
Journal	Stochastic Environmental Research and Risk Assessment
Volume	24
Issue number	7
DOIs	https://doi.org/10.1007/s00477-010-0402-3
State	Published - Oct 2010
Externally published	Yes

Keywords

Rayleigh-Taylor instability
Smoothed particle hydrodynamics
Uncertainty quantification

ASJC Scopus subject areas

Environmental Engineering
Environmental Chemistry
Safety, Risk, Reliability and Quality
Water Science and Technology
General Environmental Science

Online availability

10.1007/s00477-010-0402-3

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title = "Lagrangian simulations of unstable gravity-driven flow of fluids with variable density in randomly heterogeneous porous media",

abstract = "A new Lagrangian particle model based on smoothed particle hydrodynamics (SPH) is developed and used to simulate Darcy scale flow and transport in porous media. The method has excellent conservation properties and treats advection exactly. The Lagrangian method is used in stochastic analysis of miscible density-driven fluid flows. Results show that heterogeneity significantly increases dispersion and slows development of Rayleigh-Taylor instability. The presented numerical examples illustrate the advantages of Lagrangian methods for stochastic transport simulations.",

keywords = "Rayleigh-Taylor instability, Smoothed particle hydrodynamics, Uncertainty quantification",

author = "Tartakovsky, {A. M.}",

note = "Funding Information: This work was supported by the Laboratory Directed Research and Development program. The Pacific Northwest National Laboratory is operated by Battelle for the U.S. Department of Energy under Contract DE-AC05-76RL01830.",

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doi = "10.1007/s00477-010-0402-3",

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AU - Tartakovsky, A. M.

N1 - Funding Information: This work was supported by the Laboratory Directed Research and Development program. The Pacific Northwest National Laboratory is operated by Battelle for the U.S. Department of Energy under Contract DE-AC05-76RL01830.

PY - 2010/10

Y1 - 2010/10

N2 - A new Lagrangian particle model based on smoothed particle hydrodynamics (SPH) is developed and used to simulate Darcy scale flow and transport in porous media. The method has excellent conservation properties and treats advection exactly. The Lagrangian method is used in stochastic analysis of miscible density-driven fluid flows. Results show that heterogeneity significantly increases dispersion and slows development of Rayleigh-Taylor instability. The presented numerical examples illustrate the advantages of Lagrangian methods for stochastic transport simulations.

AB - A new Lagrangian particle model based on smoothed particle hydrodynamics (SPH) is developed and used to simulate Darcy scale flow and transport in porous media. The method has excellent conservation properties and treats advection exactly. The Lagrangian method is used in stochastic analysis of miscible density-driven fluid flows. Results show that heterogeneity significantly increases dispersion and slows development of Rayleigh-Taylor instability. The presented numerical examples illustrate the advantages of Lagrangian methods for stochastic transport simulations.

KW - Rayleigh-Taylor instability

KW - Smoothed particle hydrodynamics

KW - Uncertainty quantification

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SN - 1436-3240

VL - 24

SP - 993

EP - 1002

JO - Stochastic Environmental Research and Risk Assessment

JF - Stochastic Environmental Research and Risk Assessment

IS - 7

ER -

Lagrangian simulations of unstable gravity-driven flow of fluids with variable density in randomly heterogeneous porous media

Abstract

Keywords

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