Abstract
A fully-coupled from surface to groundwater hydrological model is being developed based on the Extended Cellular Automata formalism (XCA), which proves to be very suitable for high performance computing. In this paper, a preliminary module related to three-dimensional saturated flow in porous media is presented and implemented by using the OpenCAL parallel software library. This allows to exploit distributed systems with heterogeneous computational devices. The proposed model is evaluated in terms of both accuracy and precision of modeling results and computational performance, using single layered three-dimensional test cases at different resolutions (from local to regional scale), simulating pumping from one or more wells, river-groundwater interactions and varying soil hydraulic properties. Model accuracy is compared with analytic, when available, or numerical (MODFLOW 2005) solution, while the computational performance is evaluated using an Intel Xeon CPU socket. Overall, the XCA-based model proves to be accurate and, mainly, computationally very efficient thanks to the many options and tools available with the OpenCAL library.
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References
Cannataro, M., Di Gregorio, S., Rongo, R., Spataro, W., Spezzano, G., Talia, D.: A parallel cellular automata environment on multicomputers for computational science. Parallel Comput. 21(5), 803–823 (1995)
Cervarolo, G., Mendicino, G., Senatore, A.: A coupled ecohydrological-three-dimensional unsaturated flow model describing energy, H\(_2\)O and CO\(_2\) fluxes. Ecohydrology 3(2), 205–225 (2010)
Cervarolo, G., Mendicino, G., Senatore, A.: Coupled vegetation and soil moisture dynamics modeling in heterogeneous and sloping terrains. Vadose Zone J. 10, 206–225 (2011)
Chang, K.S., Song, C.J.: Interactive vortex shedding from a pair of circular cylinders in a transverse arrangement. Int. J. Numer. Methods Fluids 11(3), 317–329 (1990)
D’Ambrosio, D., et al.: The open computing abstraction layer for parallel complex systems modeling on many-core systems. J. Parallel Distrib. Comput. 121, 53–70 (2018)
Dattilo, G., Spezzano, G.: Simulation of a cellular landslide model with camelot on high performance computers. Parallel Comput. 29(10), 1403–1418 (2003)
De Rango, A., Napoli, P., D’Ambrosio, D., Spataro, W., Di Renzo, A., Di Maio, F.: Structured grid-based parallel simulation of a simple DEM model on heterogeneous systems, pp. 588–595 (2018)
De Rango, A., Spataro, D., Spataro, W., D’Ambrosio, D.: A first multi-GPU/multi-node implementation of the open computing abstraction layer. J. Comput. Sci. 32, 115–124 (2019)
Deng, X., Min, Y., Mao, M., Liu, H., Tu, G., Zhang, H.: Further studies on geometric conservation law and applications to high-order finite difference schemes with stationary grids. J. Comput. Phys. 239, 90–111 (2013)
Di Gregorio, S., Serra, R.: An empirical method for modelling and simulating some complex macroscopic phenomena by cellular automata. Futur. Gener. Comput. Syst. 16, 259–271 (1999)
Filippone, G., D’Ambrosio, D., Marocco, D., Spataro, W.: Morphological coevolution for fluid dynamical-related risk mitigation. ACM Trans. Model. Comput. Simul. (TOMACS) 26(3), 18 (2016)
Folino, G., Mendicino, G., Senatore, A., Spezzano, G., Straface, S.: A model based on cellular automata for the parallel simulation of 3D unsaturated flow. Parallel Comput. 32(5), 357–376 (2006)
Harbaugh, A.: MODFLOW-2005, the U.S. geological survey modular ground-water model-the ground-water flow process. U.S. Geological Survey (2005)
Kundzewicz, Z.W., et al.: The implications of projected climate change for freshwater resources and their management. Hydrol. Sci. J. 53(1), 3–10 (2008)
Lucá, F., D’Ambrosio, D., Robustelli, G., Rongo, R., Spataro, W.: Integrating geomorphology, statistic and numerical simulations for landslide invasion hazard scenarios mapping: an example in the Sorrento Peninsula (Italy). Comput. Geosci. 67(1811), 163–172 (2014)
Mendicino, G., Pedace, J., Senatore, A.: Stability of an overland flow scheme in the framework of a fully coupled eco-hydrological model based on the Macroscopic Cellular Automata approach. Commun. Nonlinear Sci. Numer. Simul. 21(1–3), 128–146 (2015)
Mendicino, G., Senatore, A., Spezzano, G., Straface, S.: Three-dimensional unsaturated flow modeling using cellular automata. Water Resour. Res. 42(11), 2332–2335 (2006)
von Neumann, J.: Theory of Self-Reproducing Automata. University of Illinois Press, Champaign (1966)
Ravazzani, G., Rametta, D., Mancini, M.: Macroscopic cellular automata for groundwater modelling: a first approach. Environ. Model Softw. 26(5), 634–643 (2011)
Senatore, A., Mendicino, G., Smiatek, G., Kunstmann, H.: Regional climate change projections and hydrological impact analysis for a Mediterranean basin in Southern Italy. J. Hydrol. 399(1), 70–92 (2011)
Spataro, D., D’Ambrosio, D., Filippone, G., Rongo, R., Spataro, W., Marocco, D.: The new SCIARA-fv3 numerical model and acceleration by GPGPU strategies. Int. J. High Perform. Comput. Appl. 31(2), 163–176 (2017)
Spingola, G., D’Ambrosio, D., Spataro, W., Rongo, R., Zito, G.: Modeling complex natural phenomena with the libAuToti cellular automata library: an example of application to lava flows simulation. In: PDPTA - International Conference on Parallel and Distributed Processing Techniques and Applications, pp. 277–283 (2008)
Straface, S.: Estimation of transmissivity and storage coefficient by means of a derivative method using the early-time drawdown. Hydrol. J. 17(7), 1679 (2009)
Theis, C.V.: The relation between the lowering of the piezometric surface and the rate and duration of discharge of a well using ground-water storage. Trans. Am. Geophys. Union 16, 519–524 (1935)
Acknowledgements
L. Furnari acknowledges for the program “POR Calabria FSE/FESR 2014/2020 - Mobilitá internazionale di Dottorandi a Assegni di ricerca/Ricercatori di Tipo A” Actions 10.5.6 and 10.5.12.
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De Rango, A. et al. (2020). Preliminary Model of Saturated Flow Using Cellular Automata. In: Sergeyev, Y., Kvasov, D. (eds) Numerical Computations: Theory and Algorithms. NUMTA 2019. Lecture Notes in Computer Science(), vol 11973. Springer, Cham. https://doi.org/10.1007/978-3-030-39081-5_23
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