Academic Appointments

Administrative Appointments

  • Postdoctoral Researcher, Max Planck Institute for Dynamics and Self-Organization (MPI-DS), G¨ottingen, Germany (2010 - 2012)
  • Research Fellow, SAMSI (Statistical and Applied Mathematical Sciences Institute) (2012 - 2012)
  • Assistant Professor, Mechanical Engineering Department, Clemson University (2012 - 2014)
  • Assistant Professor, Mechanical Engineering Department, San Diego State University (2014 - 2016)
  • Adjunct Professor, Computational Science Research Center, San Diego State University (2014 - Present)
  • Adjunct Professor, Environmental Engineering and Earth Science Department, Clemson University (2015 - Present)
  • Adjunct Professor, Mechanical Engineering Department, San Diego State University (2016 - Present)
  • Assistant Professor, Department of Energy Resources Engineering, Stanford University (2016 - Present)

Honors & Awards

  • Fellowship, RUI foundation - Politecnico di Milano (2000)
  • Outstanding Student Paper Award, AGU Fall Meeting (2008)
  • Travel Award, Fluxes and Structures in Fluids: Physics of Geospheres International Conference in Moscow, Russia (2009)
  • Travel award, DOE-ERSP 4th Annual PI Meeting (2009)
  • Research Fellowship Award, SAMSI (2012)
  • ‘Aci e Galatea’ Award to career, Acireale (CT), Italy (2012)
  • Eastman Chemical Award for Excellence, Clemson University (2013)
  • Department of Energy Young Investigator Award, Basic Energy Sciences Program (2015)
  • GREW (Grants and Research Enterprise Writing) Fellowship, Sp15, San Diego State University (2015)

Boards, Advisory Committees, Professional Organizations

  • Referee, Water Resources Research (2012 - Present)
  • Referee, Transport in Porous Media (2012 - Present)
  • Referee, Geophysical Research Letters (2012 - Present)
  • Referee, Environmental Earth Sciences (2012 - Present)
  • Referee, Journal of Fluid Mechanics (2012 - Present)
  • Referee, Journal of Fluids and Structures (2012 - Present)
  • Referee, Physical Review E (2012 - Present)
  • Referee, Physical Review Letters (2012 - Present)
  • Referee, Chemical Engineering Journal, Meccanica (2012 - Present)
  • Referee, Advances in Water Resources (2012 - Present)
  • Referee, SIAM (MMS) Multiscale Modeling and Simulations (2012 - Present)
  • Referee, Revista Mexicana de Ingenieria Quimica (2012 - Present)
  • Panelist and ad-hoc reviewer, National Science Foundation (NSF) (2013 - 2013)
  • Session Co-organizer, AGU Fall Meeting (2013 - 2013)
  • Session Co-organizer, Interpore (2013 - 2013)
  • Ad-hoc reviewer, American Chemical Society (ACS) Petroleum Research Fund (2014 - 2014)
  • Session Co-organizer, American Geophysical Union (2014 - 2014)
  • Session Co-organizer, Computational Methods in Water Resources (2014 - 2014)
  • Scientific Committee Member, 9th Southern California Flow Physics Symposium (SDSU, San Diego) (2015 - 2015)
  • Panelist and ad-hoc reviewer, National Science Foundation (NSF) (2015 - 2016)
  • Scientific Committee Member, Computational Methods in Water Resources (University of Toronto, Canada) (2016 - 2016)

Professional Education

  • Ph.D., Mechanical & Aerospace Engineering Department, University of California, San Diego, Engineering Science w/spec Computational Science (2010)
  • M.Sc., Mechanical & Aerospace Engineering Department, University of California, San Diego, Engineering Physics (2008)
  • M.Sc. equivalent, Politecnico di Milano, Milano, Italy, Environmental Engineering (5-years Laurea, Summa cum Laude) (2005)

Current Research and Scholarly Interests

Energy and environment (battery systems; superhydrophobicity and drag reduction; carbon sequestration); multiscale, mesoscale and hybrid simulations (multiphase and reactive transport processes); effective medium theories; perturbation methods, homogenization and upscaling.

Stanford Advisees

All Publications

  • Multi-Scale Microfluidics for Transport in Shale Fabric ENERGIES Ling, B., Khan, H. J., Druhan, J. L., Battiato, I. 2021; 14 (1)

    View details for DOI 10.3390/en14010021

    View details for Web of Science ID 000607461700001

  • tau-SIMPLE Algorithm for the closure problem in homogenization of stokes flows ADVANCES IN WATER RESOURCES Ling, B., Battiato, I. 2020; 144
  • Scaling of two-phase water-steam relative permeability and thermal fluxes in porous media INTERNATIONAL JOURNAL OF MULTIPHASE FLOW Picchi, D., Battiato, I. 2020; 129
  • Suitability of 2D modelling to evaluate flow properties in 3D porous media TRANSPORT IN POROUS MEDIA Marafini, E., La Rocca, M., Fiori, A., Battiato, I., Prestininzi, P. 2020
  • A Data-Driven Multiscale Framework to Estimate Effective Properties of Lithium-Ion Batteries from Microstructure Images TRANSPORT IN POROUS MEDIA Korneev, S., Arunachalam, H., Onori, S., Battiato, I. 2020; 134 (1): 173–94
  • Impact of Pore-Scale Characteristics on Immiscible Fluid Displacement GEOFLUIDS Mahabadi, N., van Paassen, L., Battiato, I., Yun, T., Choo, H., Jang, J. 2020; 2020
  • Patch-Based Multiscale Algorithm for Flow and Reactive Transport in Fracture-Microcrack Systems in Shales WATER RESOURCES RESEARCH Wang, Z., Battiato, I. 2020; 56 (2)
  • Theory and Applications of Macroscale Models in Porous Media TRANSPORT IN POROUS MEDIA Battiato, I., Ferrero, P. T., O'Malley, D., Miller, C. T., Takhar, P. S., Valdes-Parada, F. J., Wood, B. D. 2019; 130 (1): 5–76
  • High order ghost-cell immersed boundary method for generalized boundary conditions INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER Yousefzadeh, M., Battiato, I. 2019; 137: 585–98
  • Rough or wiggly? Membrane topology and morphology for fouling control JOURNAL OF FLUID MECHANICS Ling, B., Battiato, I. 2019; 862: 753–80
  • Contribution of Pore-Scale Approach to Macroscale Geofluids Modelling in Porous Media GEOFLUIDS Romano, E., Jimenez-Martinez, J., Parmigiani, A., Kong, X., Battiato, I. 2019
  • Bistability of buoyancy-driven exchange flows in vertical tubes JOURNAL OF FLUID MECHANICS Suckale, J., Qin, Z., Picchi, D., Keller, T., Battiato, I. 2018; 850: 525–50
  • Hydrodynamic dispersion in thin channels with micro-structured porous walls PHYSICS OF FLUIDS Ling, B., Oostrom, M., Tartakovsky, A. M., Battiato, I. 2018; 30 (7)

    View details for DOI 10.1063/1.5031776

    View details for Web of Science ID 000440587100032

  • Downscaling-Based Segmentation for Unresolved Images of Highly Heterogeneous Granular Porous Samples WATER RESOURCES RESEARCH Korneev, S. V., Yang, X., Zachara, J. M., Scheibe, T. D., Battiato, I. 2018; 54 (4): 2871–90
  • Universal scaling-law for flow resistance over canopies with complex morphology SCIENTIFIC REPORTS Rubol, S., Ling, B., Battiato, I. 2018; 8: 4430


    Flow resistance caused by vegetation is a key parameter to properly assess flood management and river restoration. However, quantifying the friction factor or any of its alternative metrics, e.g. the drag coefficient, in canopies with complex geometry has proven elusive. We explore the effect of canopy morphology on vegetated channels flow structure and resistance by treating the canopy as a porous medium characterized by an effective permeability, a property that describes the ease with which water can flow through the canopy layer. We employ a two-domain model for flow over and within the canopy, which couples the log-law in the free layer to the Darcy-Brinkman equation in the vegetated layer. We validate the model analytical solutions for the average velocity profile within and above the canopy, the volumetric discharge and the friction factor against data collected across a wide range of canopy morphologies encountered in riverine systems. Results indicate agreement between model predictions and data for both simple and complex plant morphologies. For low submergence canopies, we find a universal scaling law that relates friction factor with canopy permeability and a rescaled bulk Reynolds number. This provides a valuable tool to assess habitats sustainability associated with hydro-dynamical conditions.

    View details for PubMedID 29535341

  • Planning the process parameters for the direct metal deposition of functionally graded parts based on mathematical models JOURNAL OF MANUFACTURING PROCESSES Yan, J., Battiato, I., Fadel, G. M. 2018; 31: 56–71
  • The Impact of Pore-Scale Flow Regimes on Upscaling of Immiscible Two-Phase Flow in Geothermal Reservoirs Workshop on Geothermal Reservoir Engineering Picchi, D., Battiato, I. 2018
  • Bistability of buoyancy-driven exchange flows in vertical tubes J. Fluid Mech. Suckale, J., Qin, Z., Picchi, D., Keller, T., Battiato, I. T. 2018
  • Hydrodynamic dispersion in thin porous channels with controlled microtexture Phys. Fluids Ling, B., Oostrom, M. M., Tartakovsky, A. M., Battiato, I. 2018
  • Physics-based hybrid method for multiscale transport in porous media JOURNAL OF COMPUTATIONAL PHYSICS Yousefzadeh, M., Battiato, I. 2017; 344: 320–38
  • Modeling variability in porescale multiphase flow experiments ADVANCES IN WATER RESOURCES Ling, B., Bao, J., Oostrom, M., Battiato, I., Tartakovsky, A. M. 2017; 105: 29–38
  • Design of injection nozzle in direct metal deposition (DMD) manufacturing of thin-walled structures based on 3D models INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY Yan, J., Battiato, I., Fadel, G. 2017; 91 (1-4): 605–16
  • Multiscale Modeling Approach to determine Effective Lithium-Ion Transport Properties Arunachalam, H., Korneev, S., Battiato, I., Onori, S., IEEE IEEE. 2017: 92–97
  • Role of glycocalyx in attenuation of shear stress on endothelial cells: from in vivo experiments to microfluidic circuits Battiato, I., Tartakovsky, D., Cabrales, P., Intaglietta, M., IEEE IEEE. 2017
  • Vertical dispersion in vegetated shear flows WATER RESOURCES RESEARCH Rubol, S., Battiato, I., de Barros, F. P. 2016; 52 (10): 8066-8080
  • Dispersion controlled by permeable surfaces: surface properties and scaling JOURNAL OF FLUID MECHANICS Ling, B., Tartakovsky, A. M., Battiato, I. 2016; 801: 13-42

    View details for DOI 10.1137/16M1074278

    View details for Web of Science ID 000391843200005

  • Multiscale models of flow and transport Handbook of Groundwater Engineering Battiato, I. CRC Press. 2016
  • On Veracity of Macroscopic Lithium-Ion Battery Models JOURNAL OF THE ELECTROCHEMICAL SOCIETY Arunachalam, H., Onori, S., Battiato, I. 2015; 162 (10): A1940-A1951
  • Temperature-dependent multiscale-dynamics in Lithium-Ion battery electrochemical models 2015 AMERICAN CONTROL CONFERENCE (ACC) Arunachalam, H., Onori, S., Battiato, I. 2015: 305-310
  • An Analysis Platform for Multiscale Hydrogeologic Modeling with Emphasis on Hybrid Multiscale Methods GROUNDWATER Scheibe, T. D., Murphy, E. M., Chen, X., Rice, A. K., Carroll, K. C., Palmer, B. J., Tartakovsky, A. M., Battiato, I., Wood, B. D. 2015; 53 (1): 38-56


    One of the most significant challenges faced by hydrogeologic modelers is the disparity between the spatial and temporal scales at which fundamental flow, transport, and reaction processes can best be understood and quantified (e.g., microscopic to pore scales and seconds to days) and at which practical model predictions are needed (e.g., plume to aquifer scales and years to centuries). While the multiscale nature of hydrogeologic problems is widely recognized, technological limitations in computation and characterization restrict most practical modeling efforts to fairly coarse representations of heterogeneous properties and processes. For some modern problems, the necessary level of simplification is such that model parameters may lose physical meaning and model predictive ability is questionable for any conditions other than those to which the model was calibrated. Recently, there has been broad interest across a wide range of scientific and engineering disciplines in simulation approaches that more rigorously account for the multiscale nature of systems of interest. In this article, we review a number of such approaches and propose a classification scheme for defining different types of multiscale simulation methods and those classes of problems to which they are most applicable. Our classification scheme is presented in terms of a flowchart (Multiscale Analysis Platform), and defines several different motifs of multiscale simulation. Within each motif, the member methods are reviewed and example applications are discussed. We focus attention on hybrid multiscale methods, in which two or more models with different physics described at fundamentally different scales are directly coupled within a single simulation. Very recently these methods have begun to be applied to groundwater flow and transport simulations, and we discuss these applications in the context of our classification scheme. As computational and characterization capabilities continue to improve, we envision that hybrid multiscale modeling will become more common and also a viable alternative to conventional single-scale models in the near future.

    View details for DOI 10.1111/gwat.12179

    View details for Web of Science ID 000347981800010

    View details for PubMedID 24628122

  • Single-parameter model of vegetated aquatic flows WATER RESOURCES RESEARCH Battiato, I., Rubol, S. 2014; 50 (8): 6358-6369
  • Effective medium theory for drag-reducing micro-patterned surfaces in turbulent flows EUROPEAN PHYSICAL JOURNAL E Battiato, I. 2014; 37 (3)


    Many studies in the last decade have revealed that patterns at the microscale can reduce skin drag. Yet, the mechanisms and parameters that control drag reduction, e.g. Reynolds number and pattern geometry, are still unclear. We propose an effective medium representation of the micro-features, that treats the latter as a porous medium, and provides a framework to model turbulent flow over patterned surfaces. Our key result is a closed-form expression for the skin friction coefficient in terms of frictional Reynolds (or Kármán) number in turbulent regime, the viscosity ratio between the fluid in and above the features, and their geometrical properties. We apply the proposed model to turbulent flows over superhydrophobic ridged surfaces. The model predictions agree with laboratory experiments for Reynolds numbers ranging from 3000 to 10000.

    View details for DOI 10.1140/epje/i2014-14019-0

    View details for Web of Science ID 000333522000001

    View details for PubMedID 24671449

  • Homogenizability conditions for multicomponent reactive transport ADVANCES IN WATER RESOURCES Boso, F., Battiato, I. 2013; 62: 254-265
  • A reduced complexity model for dynamic similarity in obstructed shear flows GEOPHYSICAL RESEARCH LETTERS Papke, A., Battiato, I. 2013; 40 (15): 3888-3892

    View details for DOI 10.1002/grl.50759

    View details for Web of Science ID 000323660000020

  • Flow-induced shear instabilities of cohesive granulates PHYSICAL REVIEW E Battiato, I., Vollmer, J. 2012; 86 (3)


    In this work we use a multiscale framework to calculate the fluidization threshold of three-dimensional cohesive granulates under shear forces exerted by a creeping flow. A continuum model of flow through porous media provides an analytical expression for the average drag force on a single grain. The balance equation for the forces and a force propagation model are then used to investigate the effects of porosity and packing structure on the stability of the pile. We obtain a closed-form expression for the instability threshold of a regular packing of monodisperse frictionless cohesive spherical grains in a planar fracture. Our result quantifies the compound effect of structural (packing orientation and porosity) and dynamical properties of the system on its stability.

    View details for DOI 10.1103/PhysRevE.86.031301

    View details for Web of Science ID 000308394200001

    View details for PubMedID 23030906

  • Self-similarity in coupled Brinkman/Navier-Stokes flows JOURNAL OF FLUID MECHANICS Battiato, I. 2012; 699: 94-114
  • From Upscaling Techniques to Hybrid Models Mathematical and Numerical Modeling in Porous Media: Applications in Geosciences Battiato, I., Tartakovsky, D. M. CRC. 2012
  • Hybrid models of reactive transport in porous and fractured media ADVANCES IN WATER RESOURCES Battiato, I., Tartakovsky, D. M., Tartakovsky, A. M., Scheibe, T. D. 2011; 34 (9): 1140-1150
  • Applicability regimes for macroscopic models of reactive transport in porous media. Journal of contaminant hydrology BATTIATO, I., Tartakovsky, D. M. 2011; 120-121: 18-26


    We consider transport of a solute that undergoes a nonlinear heterogeneous reaction: after reaching a threshold concentration value, it precipitates on the solid matrix to form a crystalline solid. The relative importance of three key pore-scale transport mechanisms (advection, molecular diffusion, and reaction) is quantified by the Péclet (Pe) and Damköhler (Da) numbers. We use multiple-scale expansions to upscale a pore-scale advection-diffusion equation with reactions entering through a boundary condition on the fluid-solid interface, and to establish sufficient conditions under which macroscopic advection-dispersion-reaction equations provide an accurate description of the pore-scale processes. These conditions are summarized by a phase diagram in the (Pe, Da)-space, parameterized with a scale-separation parameter that is defined as the ratio of characteristic lengths associated with the pore- and macro-scales.

    View details for DOI 10.1016/j.jconhyd.2010.05.005

    View details for PubMedID 20598771

  • Elastic Response of Carbon Nanotube Forests to Aerodynamic Stresses PHYSICAL REVIEW LETTERS Battiato, I., Bandaru, P. R., Tartakovsky, D. M. 2010; 105 (14)


    The ability to determine static and (hydro)dynamic properties of carbon nanotubes (CNTs) is crucial for many applications. While their static properties (e.g., solubility and wettability) are fairly well understood, their mechanical responses (e.g., deflection under shear) to ambient fluid flow are to a large extent unknown. We analyze the elastic response of single-walled CNT forests, attached to the bottom wall of a channel, to the aerodynamic loading exerted by both laminar and turbulent flows. Our analysis yields analytical expressions for velocity distributions, the drag coefficient, and bending profiles of individual CNTs. This enables us to determine flexural rigidity of CNTs in wind-tunnel experiments. The model predictions agree with laboratory experiments for a large range of channel velocities.

    View details for DOI 10.1103/PhysRevLett.105.144504

    View details for Web of Science ID 000282362600004

    View details for PubMedID 21230836

  • On breakdown of macroscopic models of mixing-controlled heterogeneous reactions in porous media ADVANCES IN WATER RESOURCES BATTIATO, I., Tartakovsky, D. M., Tartakovsky, A. M., Scheibe, T. 2009; 32 (11): 1664-1673