Bear, J.: Dynamics of Fluids in Porous Media, Elsevier, New York, 1972.
Blöschl, G.: Scaling in Hydrology, Hydrol. Process., 15, 709–711, 2001.
Bradshaw, P.: An Introduction to Turbulence and its Measurement, Pergamon Press, Elmsford, New York, USA, 1971.
Chanson, H.: Current knowledge in hydraulic jumps and related phenomena. A survey of experimental results, Eur. J. Mech. B Fluids, 28, 191–210, 2009.
Collins, R., Triplett, C., Barjatya, A., Lehmacher, G., and Fritts, D.: Using lidar and rockets to explore turbulence in the atmosphere, SPIE Newsroom, https://doi.org/10.1117/2.1201505.005922, 2015.
Cushman, J. H.: The Physics of Fluids in Hierarchical Porous Media: Angstroms to Miles, Kluwer Academic Publishers, Dordrecht, the Netherlands, 1997.
D'Asaro, E. A.: Turbulence in the Upper-Ocean Mixed Layer, Ann. Rev. Mar. Sci., 6, 101–115, 2014.
Dietrich, J. C., Dawson, C. N., Proft, J. M., Howard, M. T., Wells, G., Fleming, J. G., Luettich Jr., R. A., Westerink, J. J., Cobell, Z., Vitse, M., Lander, H., Blanton, B. O., Szpilka, C. M., and Atkinson, J. H.: Real-time forecasting and visualization of hurricane waves and storm surges using SWAN+ADCIRC and FigureGen, in: Computational Challenges in the Geosciences, vol. 156 of The IMA Volumes in Mathematics and Its Applications, edited by: Dawson, C. and Gerritsen, M., Springer Science & Business Media, New York, 2013.
Dudhia, J.: A history of mesoscale model development, Asia-Pacific J. Atmos. Sci., 50, 121–131, 2014.
Dye, A. L., McClure, J. E., Gray, W. G., and Miller, C. T.: Multiscale modeling of porous medium systems, in: chap. 1, 3rd Edn., Handbook of Porous Media, edited by: Vafai, K., CRC Press, Boca Raton, Florida, USA, 3–45, 2015.
Flint, L. E., Flint, A. L., Thorne, J. H., and Boynton, R.: Fine-scale hydrologic modeling for regional landscape application: the California Basin characterization model development and performance, Ecol. Process., 2, https://doi.org/10.1186/2192-1709-2-25, 2013.
Gentine, P., Troy, T. J., Lintner, B. R., and Findell, K. L.: Scaling in Surface Hydrology: Progress and Challenges, J. Contemp. Water Res. Educ., 147, 28–40, 2012.
Gleeson, T. and Paszkowski, D.: Perceptions of scale in hydrology: What do you mean by regional scale?, Hydrolog. Sci. J., 59, 99–107, https://doi.org/10.1080/02626667.2013.797581, 2014.
Gray, W. G. and Miller, C. T.: Thermodynamically constrained averaging theory approach for modeling flow and transport phenomena in porous medium systems: 7. Single-phase megascale flow models, Adv. Water Resour., 32, 1121–1142, https://doi.org/10.1016/j.advwatres.2009.05.010, 2009.
Gray, W. G. and Miller, C. T.: A generalization of averaging theorems for porous medium analysis, Adv. Water Resour., 62, 227–237, https://doi.org/10.1016/j.advwatres.2013.06.006, 2013.
Gray, W. G. and Miller, C. T.: Introduction to the Thermodynamically Constrained Averaging Theory for Porous Media Systems, Springer-Verlag, New York, USA, 2014.
Gray, W. G. and O'Neill, K.: On the development of Darcy's law for the general equations for flow in porous media, Water Resour. Res., 12, 148–154, 1976.
Gray, W. G., Dye, A. L., McClure, J. E., Pyrak-Nolte, L. J., and Miller, C. T.: On the dynamics and kinematics of two-fluid-phase flow in porous media, Water Resour. Res., 51, 5365–5381, 2015.
Hermann, S. M. and Sop, T. K.: The map is not the territory: How satellite remote sensing and ground evidence have re-shaped the image of Sahelian desertification, in: The End of Desertification? Disputing Enviornmental Change in the Drylands, Springer Earth System Sciences, edited by: Behnke, R. and Mortimore, M., Springer, New York, USA, 117–145, 2016.
Hornung, U.: Homogenization and Porous Media, in: no. 6 in Interdisciplinary Applied Mathematics, Springer, New York, USA, 1997.
Kauffeldt, A., Halldin, S., Rodhe, A., Xu, C.-Y., and Westerberg, I. K.: Disinformative data in large-scale hydrological modelling, Hydrol. Earth Syst. Sci., 17, 2845–2857, https://doi.org/10.5194/hess-17-2845-2013, 2013.
Kauffeldt, A., Wetterhall, F., Pappenberger, F., Salamon, P., and Thielen, J.: Technical review of large-scale hydrological models for implementation in operational flood forecasting schemes on continental level, Environ. Model. Softw., 75, 68–76, 2016.
Knödel, K., Lange, G., and Voigt, H.-J.: Environmental Geology: Handbook of Field Methods and Case Studies, Springer, Berlin, Heidelberg, New York, 2007.
Lillesand, T. M., Kiefer, R. W., and Chipman, J. W.: Remote Sensing and Image Interpretation, 7th Edn., Wiley, Hoboken, New Jersey, USA, 2015.
Ly, S., Charles, C., and Degré, A.: Different methods for spatial interpolation of rainfall data for operational hydrology and hydrological modeling at watershed scale. A review, Biotechnol. Agron. Soc. Environ., 17, 392–406, 2013.
Marle, C.: Ècoulements monophasiques en milieu poreux, Revue de L'Institut Français du Pétrole, 22, 1471–1509, 1967.
Maugin, G. A.: The Thermomechanics of Nonlinear Irreversible Behaviors: An Introduction, World Scientific Press, Singapore, 1999.
McClure, J. E., Prins, J. F., and Miller, C. T.: A Novel Heterogeneous Algorithm to Simulate Multiphase Flow in Porous Media on Multicore CPU-GPU Systems, Comput. Phys. Commun., 185, 1865–1874, https://doi.org/10.1016/j.cpc.2014.03.012, 2014a.
McClure, J. E., Wang, H., Prins, J. F., Miller, C. T., and Feng, W.: Petascale Application of a Coupled CPU-GPU Algorithm for Simulation and Analysis of Multiphase Flow Solutions in Porous Medium Systems, in: 28th IEEE International Parallel & Distributed Processing Symposium, Phoenix, Arizona, 2014b.
McClure, J. E., Berrill, M. A., Gray, W. G., and Miller, C. T.: Tracking Interface and Common Curve Dynamics for Two-Fluid Flow in Porous Media, J. Fluid Mech., 796, 211–232, 2016a.
McClure, J. E., Berrill, M. A., Gray, W. G., and Miller, C. T.: Influence of phase connectivity on the relationship among capillary pressure, fluid saturation, and interfacial area in two-fluid-phase porous medium systems, Phys. Rev. E, 94, 033102, https://doi.org/10.1103/PhysRevE.94.033102, 2016b.
Miller, C. T., Christakos, G., Imhoff, P. T., McBride, J. F., Pedit, J. A., and Trangenstein, J. A.: Multiphase flow and transport modeling in heterogeneous porous media: Challenges and approaches, Adv. Water Resour., 21, 77–120, 1998.
Miller, C. T., Dawson, C. N., Farthing, M. W., Hou, T. Y., Huang, J. F., Kees, C. E., Kelley, C. T., and Langtangen, H. P.: Numerical simulation of water resources problems: Models, methods, and trends, Adv. Water Resour., 51, 405–437, https://doi.org/10.1016/j.advwatres.2012.05.008, 2013.
Nickerson, C., Ebel, R., Borchers, A., and Carriazo, F.: Major Uses of Land in the United States, 2007, EIB-89, US Department of Agriculture, Economic Research Service, December 2011.
Niessner, J., Berg, S., and Hassanizadeh, S. M.: Comparison of Two-Phase Darcy's Law with a Thermodynamically Consistent Approach, Transport Porous Media, 88, 133–148, https://doi.org/10.1007/s11242-011-9730-0, 2011.
Panfilov, M.: Macroscale Models of Flow Through Highly Heterogeneous Porous Media, Springer, Dordrecht, the Netherlands, 2000.
Pechlivanidis, I. G., Jackson, B. M., McIntyre, N. R., and Wheater, H. S.: Catchment scale hydrological modelling: A review of model types, calibration approaches and uncertainty analysis methods in the context of recent developments in technology and applications, Global NEST J., 13, 193–214, 2011.
Reggiani, P., Sivapalan, M., and Hassanizadeh, S. M.: A Unifying Framework for Watershed Thermodynamics: Balance Equations for Mass, Momentum, Energy and Entropy, and the Second Law of Thermodynamics, Adv. Water Resour., 22, 367–398, 1998.
Reggiani, P., Hassanizadeh, S. M., Sivapalan, M., and Gray, W. G.: A Unifying Framework for Watershed Thermodynamics: Constitutive Relationships, Adv. Water Resour., 23, 15–39, 1999.
Sathe, A. and Mann, J.: A review of turbulence measurements using ground-based wind lidars, Atmos. Meas. Tech., 6, 3147–3167, https://doi.org/10.5194/amt-6-3147-2013, 2013.
Vreugdenhil, C. B.: Numerical Methods for Shallow-Water Flow, in: no. 13 in Water Science and Technology Library, Springer, Dordrecht, the Netherlands, 1995.
Wang, A., Zeng, X., Shen, S. S. P., Zeng, Q.-C., and Dickinson, R. E.: Time Scales of Land Surface Hydrology, J. Hydrometeorol., 7, 868–879, 2006.
Whitaker, S.: Diffusion and Dispersion in Porous Media, Am. Inst. Chem. Eng. J., 13, 420–427, 1967.
Whitaker, S.: Flow in Porous Media I: A Theoretical Derivation of Darcy's Law, Transport Porous Media, 1, 3–25, 1986.
Whitaker, S.: The Method of Volume Averaging, Kluwer Academic Publishers, Dordrecht, 1999.
Wildenschild, D. and Sheppard, A. P.: X-ray imaging and analysis techniques for quantifying pore-scale structure and processes in subsurface porous medium systems, Adv. Water Resour., 51, 217–246, 2013.
Wood, E. F.: Scaling behaviour of hydrological fluxes and variables: Empirical studies using a hydrological model and remote sensing data, Hydrol. Process., 9, 331–346, 1995.
Wood, E. F., Sivapalan, M., Beven, K., and Band, L.: Effects of spatial variability and scale with implications to hydrologic modeling, J. Hydrol., 102, 29–47, 1988.
Wood, S. N.: Fast stable direct fitting and smoothness selection for generalized additive models, J. Roy. Stat. Soc. Ser. B, 70, 495–518, 2008.
Zhou, Y. and Li, W.: A review of regional groundwater flow modeling, Geosci. Front., 2, 205–214, 2011.
