A new Lagrangian particle model based on smoothed particle hydrodynamics (SPH) was developed and used to simulate Darcy scale flow and transport in porous media. The proposed numerical method has excellent conservation properties and treats advection exactly. The method was used in stochastic analysis of miscible density driven fluid flows. It was found 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.
Revised: December 30, 2015 |
Published: June 24, 2010
Citation
Tartakovsky A.M. 2010.Lagrangian simulations of unstable gravity-driven flow of fluids with variable density in randomly heterogeneous porous media.Stochastic Environmental Research and Risk Assessment 24, no. 7:993-1002.PNNL-SA-67428.doi:10.1007/s00477-010-0402-3