Optimal reconstruction of concentrations, gradients and reaction rates from particle distributions

Journal of Contaminant Hydrology
Daniel Fernàndez-Garcia, Xavier Sanchez-Vila

Abstract

Random walk particle tracking methodologies to simulate solute transport of conservative species constitute an attractive alternative for their computational efficiency and absence of numerical dispersion. Yet, problems stemming from the reconstruction of concentrations from particle distributions have typically prevented its use in reactive transport problems. The numerical problem mainly arises from the need to first reconstruct the concentrations of species/components from a discrete number of particles, which is an error prone process, and then computing a spatial functional of the concentrations and/or its derivatives (either spatial or temporal). Errors are then propagated, so that common strategies to reconstruct this functional require an unfeasible amount of particles when dealing with nonlinear reactive transport problems. In this context, this article presents a methodology to directly reconstruct this functional based on kernel density estimators. The methodology mitigates the error propagation in the evaluation of the functional by avoiding the prior estimation of the actual concentrations of species. The multivariate kernel associated with the corresponding functional depends on the size of the support volume, whi...Continue Reading

References

May 1, 1986·Archives of Disease in Childhood·W A Silverman
Jul 15, 2006·Journal of Contaminant Hydrology·Peter SalamonJ Jaime Gómez-Hernández
Jul 14, 2007·Journal of Contaminant Hydrology·Alberto Bellin, Daniele Tonina

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Citations

May 1, 2012·Environmental Science and Pollution Research International·Alícia Navarro-OrtegaDamià Barceló
Jan 10, 2012·Environmental Science & Technology·Eduardo Castro-AlcaláDiogo Bolster
Jun 22, 2010·Journal of Contaminant Hydrology·Marco DentzBranko Bijeljic
Sep 8, 2015·Journal of Contaminant Hydrology·Vikrant Vishal, Juliana Y Leung

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