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Alexandre Tartakovsky

Alexandre Tartakovsky

Advanced Comput, Math & Data
Scientist, TL
Pacific Northwest National Laboratory
PO Box 999
MSIN: K7-90
Richland, WA 99352


Dr. Alexandre Tartakovsky is a scientist in the Computational Science and Mathematics Division at the Pacific Northwest National Laboratory.

The main focus of Tartakovsky's research is the theoretical and computational aspects of the modeling of flow and reactive transport in porous and fractured media under both saturated and unsaturated conditions. In Tartakovsky's research in the subsurface flow and transport phenomena, he pursues a multi-disciplinary approach and relies on methods and techniques used in hydrology, mathematics, computational physics, and chemical engineering.

Research Interests

  • Coupled non-linear systems
  • Pore- and Dracy-scale modeling of complex biogeochemical processes, including multiphase flows, reactive transport, mineral precipitation, and biofilm growth
  • Uncertainty quantification and risk assessment
  • Stochastic partial differential equations
  • Multiscale methods
  • Lagrangian particle methods.

Education and Credentials

  • Ph.D., Hydrology, University of Arizona, 2002
  • Postgraduate, Sociology, Kazan Institute of Finance and Economy, 1998
  • M.Sc., Hydromechanics and Applied Mathematics, Kazan State University, 1994

Affiliations and Professional Service

  • Scientist, Pacific Northwest National Laboratory, 2004-Present
  • Post Doctoral Researcher, Idaho National Engineering and Environmental Laboratory, 2002-2004
  • Graduate Research Assistant/Associate, Department of Hydrology and Water Resources, University of Arizona, 1998-2002
  • Lecturer, Kazan Institute of Finance and Economy, 1995-1998
  • Convener: Various sessions of the AGU and SIAM meetings
  • Referee: Various journals on hydrology, geophysics, and applied mathematics
  • Membership: American Geophysical Union (AGU), 1996-Present

Awards and Recognitions

  • Presidential Early Career Award for Scientists and Engineers - 2009
  • Outstanding Performance Award, Computational and Information Science Directorate, Pacific Northwest National Laboratory, 2005
  • John and Margaret Harshbarger Doctoral Fellow in Hydrology and Water Resources, University of Arizona, 2001-2002
  • Outstanding Student Paper Award at the 2000 AGU Fall Meeting, San Francisco, December 2000
  • George E.P. Smith Graduate Fellowship for AY2000-2001, University of Arizona

PNNL Publications


  • Tartakovsky AM, and A Panchenko. 2016. "Pairwise Force Smoothed Particle Hydrodynamics model for multiphase flow: surface tension and contact line dynamics." Journal of Computational Physics 305:1119-1146.  doi:10.1016/


  • Jarman KD, and AM Tartakovsky. 2015. "Erratum: A Comparison of Closures for Stochastic Advection-Diffusion Equations." SIAM/ASA Journal on Uncertainty Quantification 3(1):265-266.  doi:10.1137/140996483
  • Wang P, DA Barajas-Solano, E Constantinescu, S Abhyankar, DL Ghosh, B Smith, Z Huang, and AM Tartakovsky. 2015. "Probabilistic Density Function Method for Stochastic ODEs of Power Systems with Uncertain Power Input." SIAM/ASA Journal on Uncertainty Quantification 3(1):873-896.  doi:10.1137/130940050
  • Du Q, RB Lehoucq, and AM Tartakovsky. 2015. "Integral approximations to classical diffusion and smoothed particle hydrodynamics." Computer Methods in Applied Mechanics and Engineering 286:216-229.  doi:10.1016/j.cma.2014.12.019
  • Scheibe TD, EM Murphy, X Chen, AK Rice, KC Carroll, BJ Palmer, AM Tartakovsky, I Battiato, and BD Wood. 2015. "An Analysis Platform for Multiscale Hydrogeologic Modeling with Emphasis on Hybrid Multiscale Methods." Ground Water 53(1):38-56.  doi:10.1111/gwat.12179
  • Scheibe TD, KL Schuchardt, K Agarwal, JM Chase, X Yang, BJ Palmer, AM Tartakovsky, TO Elsethagen, and GD Redden. 2015. "Hybrid multiscale simulation of a mixing-controlled reaction." Advances in Water Resources 83:228-239.  doi:10.1016/j.advwatres.2015.06.006
  • Zhen L, A Yazdani, AM Tartakovsky, and GE Karniadakis. 2015. "Transport dissipative particle dynamics model for mesoscopic advection- diffusion-reaction problems." Journal of Chemical Physics 143(1):014101.  doi:10.1063/1.4923254


  • Pan W, J Bao, and AM Tartakovsky. 2014. "Smoothed Particle Hydrodynamics Continuous Boundary Force method for Navier-Stokes equations subject to Robin boundary condition." Journal of Computational Physics 259:242-259.  doi:10.1016/
  • Bao J, Y Chu, Z Xu, AM Tartakovsky, and Y Fang. 2014. "Uncertainty quantification for the impact of injection rate fluctuation on the geomechanical response of geological carbon sequestration." International Journal of Greenhouse Gas Control 20:160-167.  doi:10.1016/j.ijggc.2013.10.023
  • de Anna P, M Dentz, AM Tartakovsky, and T Le Borgne. 2014. "The filamentary structure of mixing fronts and its control on reaction kinetics in porous media flows." Geophysical Research Letters 41(13):4586-4593.  doi:10.1002/2014GL060068
  • Ibragimov RN, and AM Tartakovsky. 2014. "Spectral analysis of the efficiency of vertical mixing in the deep ocean due to interaction of tidal currents with a ridge running down a continental slope." Mathematical Modelling of Natural Phenomena 9(5):119-137.  doi:10.1051/mmnp/20149508
  • Kordilla J, W Pan, and AM Tartakovsky. 2014. "Smoothed particle hydrodynamics model for Landau-Lifshitz Navier-Stokes and advection-diffusion equations." Journal of Chemical Physics 141(22):224112.  doi:10.1063/1.4902238
  • Lin G, J Bao, Z Xu, AM Tartakovsky, and CH Henager, Jr. 2014. "A phase-field model coupled with lattice kinetics solver for modeling crystal growth in furnaces." Communications in Computational Physics 15(1):76-92.  doi:10.4208/cicp.300612.210313a
  • Panchenko A, AM Tartakovsky, and K Cooper. 2014. "Discrete models of fluids: spatial averaging, closure and model reduction." SIAM Journal on Applied Mathematics 74(2):477-515.  doi:10.1137/12089346X
  • Panchenko A, AM Tartakovsky, and K Cooper. 2014. "Discrete models of fluids: spatial averaging, closure and model reduction." SIAM Journal on Applied Mathematics 74(2):477-515.  doi:10.1137/12089346X
  • Scheibe TD, X Yang, KL Schuchardt, K Agarwal, JM Chase, BJ Palmer, and AM Tartakovsky. 2014. "A Many-Task Parallel Approach for Multiscale Simulations of Subsurface Flow and Reactive Transport." In 7th Workshop on Many-Task Computing on Clouds, Grids, and Supercomputers (MTAGS 2014), November 16, 2014, New Orleans, Louisiana.  ACM , New York, NY. 


  • Jarman KD, and AM Tartakovsky. 2013. "A Comparison of Closures for Stochastic Advection-Dispersion." SIAM/ASA Journal on Uncertainty Quantification 1(1):319-347.  doi:10.1137/120897419
  • Pan W, AM Tartakovsky, and JJ Monaghan. 2013. "Smoothed particle hydrodynamics Non-Newtonian model for ice-sheet and ice-shelf dynamics." Journal of Computational Physics 242:828-842.  doi:10.1016/
  • Pan W, and AM Tartakovsky. 2013. "Dissipative particle dynamics model for colloid transport in porous media." Advances in Water Resources 58:41-48.  doi:10.1016/j.advwatres.2013.04.004
  • Wang P, AM Tartakovsky, and DM Tartakovsky. 2013. "Probability Density Function Method for Langevin Equations with Colored Noise." Physical Review Letters 110(14):Article No. 140602.  doi:10.1103/PhysRevLett.110.140602
  • Wang P, DM Tartakovsky, and AM Tartakovsky. 2013. "Stochastic Forecasting of Algae Blooms in Lakes." In Modelling and Simulation in Fluid Dynamics in Porous Media: Workshop on Fluid Dynamics in Porous Media, September 12-14, 2011, Coimbra, Portugal. Springer Proceedings in Mathematics & Statistics, vol. 28, ed. JA Ferreira, et al, pp. 99-108.  Springer, New York.  doi:10.1007/978-1-4614-5055-9_6
  • Bandara DMUC, AM Tartakovsky, M Oostrom, BJ Palmer, JW Grate, and C Zhang. 2013. "Smoothed Particle Hydrodynamics pore-scale simulations of unstable immiscible flow in porous media." Advances in Water Resources 62(Part C):356-369.  doi:10.1016/j.advwatres.2013.09.014
  • de Anna P, T Le Borgne, M Dentz, AM Tartakovsky, D Bolster, and P Davy. 2013. "Flow Intermittency, Dispersion, and Correlated Continuous Time Random Walks in Porous Media." Physical Review Letters 110(18):Article No. 184502.  doi:10.1103/PhysRevLett.110.184502
  • Kordilla J, AM Tartakovsky, and T Geyer. 2013. "A smoothed particle hydrodynamics model for droplet and film flow on smooth and rough fracture surfaces." Advances in Water Resources 59:1-14.  doi:10.1016/j.advwatres.2013.04.009
  • Pan W, D Li, AM Tartakovsky, S Ahzi, M Khraisheh, and MA Khaleel. 2013. "A new smoothed particle hydrodynamics non-Newtonian model for friction stir welding: Process modeling and simulation of microstructure evolution in a magnesium alloy." International Journal of Plasticity 48:189-204.  doi:10.1016/j.ijplas.2013.02.013
  • Scheibe TD, Z Hou, BJ Palmer, and AM Tartakovsky. 2013. "Pore-Scale Simulation of Intragranular Diffusion: Effects of Incomplete Mixing on Macroscopic Manifestations." Water Resources Research 49(7):4277-4294.  doi:10.1002/wrcr.20333
  • Tartakovsky GD, AM Tartakovsky, TD Scheibe, Y Fang, R Mahadevan, and DR Lovley. 2013. "Pore-scale simulation of microbial growth using a genome-scale metabolic model: Implications for Darcy-scale reactive transport." Advances in Water Resources 59:256-270.  doi:10.1016/j.advwatres.2013.05.007
  • Venturi D, DM Tartakovsky, AM Tartakovsky, and GE Karniadakis. 2013. "Exact PDF equations and closure approximations for advective-reactive transport." Journal of Computational Physics 243:323-343.  doi:10.1016/
  • Wang P, DM Tartakovsky, KD Jarman, and AM Tartakovsky. 2013. "CDF Solutions of Buckley-Leverett Equation with Uncertain Parameters." Multiscale Modeling & Simulation 11(1):118-133.  doi:10.1137/120865574


  • Pan W, AM Tartakovsky, and JJ Monaghan. 2012. "A Smoothed Particle Hydrodynamics Model for Ice Sheet and Ice Shelf Dynamics." Journal of Glaciology 58(207):216-222. 
  • Xu Z, AM Tartakovsky, and W Pan. 2012. "Discrete-element model for the interaction between ocean waves and sea ice." Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 85(1):Article No. 016703.  doi:10.1103/PhysRevE.85.016703
  • Balter AI, G Lin, and AM Tartakovsky. 2012. "Effect of Nonlinearity in Hybrid Kinetic Monte Carlo-Continuum Models." Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 85(1):Article No. 016707.  doi:10.1103/PhysRevE.85.016707


  • Jarman KD, and AM Tartakovsky. 2011. "Divergence of Solutions to Perturbation-Based Advection-Dispersion Moment Equations." Advances in Water Resources 34(5):659-670.  doi:10.1016/j.advwatres.2011.03.002
  • Tartakovsky AM, A Panchenko, and KF Ferris. 2011. "Dimension reduction method for ODE fluid models." Journal of Computational Physics 230(23):8554-8572.  doi:10.1016/
  • Tartakovsky AM, and TD Scheibe. 2011. "DIMENSION REDUCTION NUMERICAL CLOSURE METHOD FOR ADVECTION-DIFFUSION-REACTION SYSTEMS." Advances in Water Resources 34(12):1616-1626.  doi:10.1016/j.advwatres.2011.07.011
  • Xu Z, P Meakin, AM Tartakovsky, and TD Scheibe. 2011. "Dissipative-particle-dynamics model of biofilm growth." Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 83(6):Article No. 066702.  doi:10.1103/PhysRevE.83.066702
  • Balter AI, and AM Tartakovsky. 2011. "Multinomial diffusion equation." Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 83(6):061143.  doi:10.1103/PhysRevE.83.061143
  • Bandara UC, AM Tartakovsky, and BJ Palmer. 2011. "Pore-scale study of capillary trapping mechanism during CO2 injection in geological formations." International Journal of Greenhouse Gas Control 5(6):1566-1577.  doi:10.1016/j.ijggc.2011.08.014
  • Battiato I, DM Tartakovsky, AM Tartakovsky, and TD Scheibe. 2011. "Hybrid Models of Reactive Transport in Porous and Fractured Media." Advances in Water Resources 37(9):1140-1150.  doi:10.1016/j.advwatres.2011.01.012
  • Hess NJ, M Oostrom, MA Celia, M Hilpert, Q Kang, LJ Pyrak-Nolte, TD Scheibe, AM Tartakovsky, CJ Werth, D Wildenschild, C Zhang, SE Bialkowski, TA Ghezzehei, G Tang, F Doster, J Kumar, R Parashar, R Gerlach, H Yoon, GD Redden, T Zhang, H Huang, J Nogues, W Deng, H Resat, KA Rod, DR Baer, RT Kelly, W Um, G Wang, MC Richmond, DR Rector, ML Stewart, HB Jung, and C Plata. 2011. EMSL Pore Scale Modeling Challenge/WorkshopPNNL-21086, Pacific Northwest National Laboratory, Richland, WA. 
  • Ryan EM, AM Tartakovsky, KP Recknagle, MA Khaleel, and C Amon. 2011. "Pore Scale Modeling of the Reactive Transport of Chromium in the Cathode of a Solid Oxide Fuel Cell." Journal of Power Sources 196(1):287-300.  doi:10.1016/j.jpowsour.2010.06.030
  • Scheibe TD, AM Tartakovsky, UC Bandara, BJ Palmer, M Oostrom, C Zhang, and A Bonneville. 2011. "Physical and Numerical Models of Pore-Scale Trapping of CO2." In Les Rencontres Scientifiques d'IFP Energies Nouvelles: International Conference on Flows and Mechanics in Natural Porous Media from Pore to Field Scale - Pore2Field, November 16-18, 2011, Rueil-Malmaison, France.  IFP Energies Nouvelles, Paris, France. 


  • Lin G, AM Tartakovsky, and DM Tartakovsky. 2010. "Uncertainty Quantification via Random Domain Decomposition and Probabilistic Collocation on Sparse Grids." Journal of Computational Physics 229(19-20):6995-7012.  doi:10.1016/
  • Lin G, and AM Tartakovsky. 2010. "Numerical studies of three-dimensional stochastic Darcy's equation and stochastic advection-diffusion-dispersion equation." Journal of Scientific Computing 43(1):92-117.  doi:10.1007/s10915-010-9346-5
  • Tartakovsky AM. 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(7):993-1002.  doi:10.1007/s00477-010-0402-3
  • Tartakovsky AM. 2010. "Langevin Model for Reactive Transport in Porous Media." Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 82(2 PT 2):Art. No. 026302. 
  • Gurumoorthi V, AM Tartakovsky, TD Scheibe, and BJ Palmer. 2010. "A Component-Based Framework for Smoothed Particle Hydrodynamics Simulations of Reactive Fluid Flow in Porous Media. ." International Journal of High Performance Computing Applications 24(2):228-239.  doi:10.1177/1094342009358415
  • Ryan EM, AM Tartakovsky, and C Amon. 2010. "A Novel Method for Modeling Neumann and Robin Boundary Conditions in Smoothed Particle Hydrodynamics." SIAM Journal on Scientific Computing 181(12):2008-2023.  doi:10.1016/j.cpc.2010.08.022
  • Ryan EM, AM Tartakovsky, and C Amon. 2010. "Pore Scale Modeling of Competitive Adsorption of a Plume in a Porous Medium." Journal of Contaminant Hydrology 120-121:56-78.  doi:10.1016/j.jconhyd.2010.06.008
  • Scheibe TD, BJ Palmer, KL Schuchardt, Y Fang, and AM Tartakovsky. 2010. "Simulations of Subsurface Flow and Transport at the Pore and Continuum Scales." In SciDAC 2010 Scientific Discovery Through Advanced Computing, July 11-15, 2010, Chattanooga, Tennessee.  US Department of Energy, Office of Science, Washington DC. 


  • Lin G, and AM Tartakovsky. 2009. "An efficient, high-order probabilistic collocation method on sparse grids for three-dimensional flow and solute transport in randomly heterogeneous porous media." Advances in Water Resources 32(5 SP ISS):712-722. 
  • Tartakovsky AM, GD Tartakovsky, and TD Scheibe. 2009. "EFFECTS OF INCOMPLETE MIXING ON MULTICOMPONENT REACTIVE TRANSPORT." Advances in Water Resources 32(11):1674-1679. 
  • Tartakovsky AM, KF Ferris, and P Meakin. 2009. "Lagrangian particle model for multiphase flows." Computer Physics Communications 180(10):1874-1881.  doi:10.1016/j.cpc.2009.06.002
  • Tartakovsky AM, P Meakin, and AL Ward. 2009. "Smoothed particle hydrodynamics model of non-aqueous phase liquid flow and dissolution ." Transport in Porous Media 76(1):11-34. 
  • Tartakovsky AM, TD Scheibe, and P Meakin. 2009. "PORE-SCALE MODEL FOR REACTIVE TRANSPORT AND BIOMASS GROWTH." Journal of Porous Media 12(5):417-434. 
  • Xu Z, P Meakin, and AM Tartakovsky. 2009. "Diffuse-interface model for smoothed particle hydrodynamics." Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 79(3):Art. No. 036702. 
  • Battiato I, DM Tartakovsky, AM Tartakovsky, and TD Scheibe. 2009. "On breakdown of macroscopic models of mixing-controlled heterogeneous reactions in porous media." Advances in Water Resources 32(11):1664-1673. 
  • Gouet-Kaplan M, AM Tartakovsky, and B Berkowitz. 2009. "Simulation of the interplay between resident and infiltrating water in partially saturated porous media." Water Resources Research 45:Article No: W05416 . 
  • Meakin P, and AM Tartakovsky. 2009. "Modeling and simulation of pore-scale multiphase fluid flow and reactive transport in fractured and porous media." Reviews of Geophysics 47(3):Article No. RG3002.  doi:10.1029/2008RG000263
  • Sun X, AM Tartakovsky, and MA Khaleel. 2009. "Probabilistic Based Design Methodology for Solid Oxide Fuel Cell Stacks." Journal of Fuel Cell Science and Technology 6(2):Art. No. 021004. 


  • Jarman KD, and AM Tartakovsky. 2008. "Divergence of Solutions to Solute Transport Moment Equations." Geophysical Research Letters 35(15):30-34, Art. no.: L15401.  doi:10.1029/2008GL034495
  • Tartakovsky AM, and SP Neuman. 2008. "Effects of Peclet Number on Pore-Scale Mixing and Channeling of a Tracer and on Directional Advective Porosity." Geophysical Research Letters 35(21):L21401.  doi:10.1029/2008GL035895
  • Tartakovsky AM, D Bolster, and DM Tartakovsky. 2008. "Hydrogeophysical Approach for Identification of Layered Structures of the Vadose Zone from Electrical Resistivity Data." Vadose Zone Journal 7(4):1253-1260.  doi:10.2136/vzj2008.0009
  • Tartakovsky AM, DM Tartakovsky, and P Meakin. 2008. "Stochastic Langevin Model for Flow and Transport in Porous Media." Physical Review Letters 101:Art. No. 044502.  doi:10.1103/PhysRevLett.101.044502
  • Tartakovsky AM, DM Tartakovsky, TD Scheibe, and P Meakin. 2008. "Hybrid Simulations of Reaction-Diffusion Systems in Porous Media." SIAM Journal on Scientific Computing 30(6):2799-2816.  doi:10.1137/070691097
  • Tartakovsky AM, GD Redden, PC Lichtner, TD Scheibe, and P Meakin. 2008. "Mixing-Induced Precipitation: Experimental Study and Multi-Scale Numerical Analysis." Water Resources Research 44(6):Art. No. W06S04.  doi:10.1029/2006WR005725
  • Scheibe TD, AM Tartakovsky, DM Tartakovsky, GD Redden, P Meakin, BJ Palmer, and KL Schuchardt. 2008. "Hybrid numerical methods for multiscale simulations of subsurface biogeochemical processes." In Proceedings of SciDAC 2008: Journal of Physics, vol. 125, p. 012054.  IOP Publishers, Bristol, United Kingdom.  doi:10.1088/1742-6596/125/1/012054



  • Tartakovsky AM, and P Meakin. 2006. "Pore-scale modeling of immiscible and miscible fluid flows using smoothed particle hydrodynamics." Advances in Water Resources 29(10):1464-1478. 
  • Tartakovsky AM, TD Scheibe, G Redden, P Meakin, and Y Fang. 2006. "Smoothed Particle Hydrodynamics Model for Reactive Transport and Mineral Precipitation." In CMWR XVI - International Conference on Computational Methods in Water Resources. Copenhagen, Denmark, June 18-22, 2006, p. 8 pages.  Technical University of Denmark (DTU), Copenhagen, Denmark. 


  • Tartakovsky AM, and P Meakin. 2005. "A smoothed particle hydrodynamics model for miscible flow in three-dimensional fractures and the two-dimensional Rayleigh-Taylor instability." Journal of Computational Physics 207(2):610-624. 
  • Tartakovsky AM, and P Meakin. 2005. "Modeling of surface tension and contact angles with smoothed particle hydrodynamics." Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 72(2):026301-1 - 026301-9. 
  • Tartakovsky AM, and P Meakin. 2005. "Simulation of unsaturated flow in complex fractures using smoothed particle hydrodynamics." Vadose Zone Journal 4(3):848-855. 


  • Tartakovsky AM, P Meakin, and H Huang. 2004. "Stochastic analysis of immiscible displacement of the fluids with arbitrary viscosities and its dependence on support scale of hydrological data." Advances in Water Resources 27(12):1151-1166. 

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