OpenCAL system extension and application to the three-dimensional Richards equation for unsaturated flow

Rango, Alessio De; Furnari, Luca; Giordano, Andrea; Senatore, Alfonso; D'Ambrosio, Donato; Spataro, William; Straface, Salvatore; Mendicino, Giuseppe

doi:10.1016/j.camwa.2020.05.017

Cited by 21 publications

(7 citation statements)

References 57 publications

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“…Δx i values can be computed through formulas taken from [19], and in particular by expression (1) in which:…”

Section: Dynamic Load Balancing Of Cellular Automatamentioning

confidence: 99%

“…The simulation of complex systems is a very compute intensive task that can strongly benefit from the support of modern parallel computer systems. Cellular automata (CA) have proven their suitability for systems whose behaviour can be described in terms of local interactions [1]. CA were studied by John von Neumann to study self-reproduction problems [2] and have been developed by numerous researchers and applied in both theoretical and scientific fields ( [3][4][5][6][7][8]).…”

Section: Introductionmentioning

confidence: 99%

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Tailoring load balancing of cellular automata parallel execution to the case of a two-dimensional partitioned domain

et al. 2023

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In this paper, techniques for dynamic load balancing of the cellular automata parallel execution are presented for the case of domain space partitioned along two dimensions. Starting from general closed-form expressions that allow to compute the optimal workload assignment in a dynamic fashion when partitioning takes place along only one dimension, we tailor the procedure to allow partitioning and balancing along both dimensions. Both qualitative and quantitative experiments are carried out that assess performance improvement in applying load balancing for the case of two-dimensional partitioned domain, especially when the load balancing takes place along both dimensions.

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“…Δx i values can be computed through formulas taken from [19], and in particular by expression (1) in which:…”

Section: Dynamic Load Balancing Of Cellular Automatamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Tailoring load balancing of cellular automata parallel execution to the case of a two-dimensional partitioned domain

et al. 2023

Self Cite

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“…CA has been used to simulate many natural complex phenomena. In particular, Extended Cellular Automata (XCA), which is an extension of the original CA computational paradigm, have proven to be suitable for simulating complex natural phenomena like unsaturated water flow (Mendicino et al 2006;De Rango et al 2021), lava flows (Spataro et al 2017), forest fires (Avolio et al 2014).…”

Section: Introductionmentioning

confidence: 99%

Novel Eulerian Approach with Cellular Automata Modelling to Estimate Water Quality in a Drinking Water Network

Bonora

Capano²,

Rango

et al. 2022

Water Resour Manage

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The forecast analysis of the exposure to the contamination risk in a water distribution network requires increasing the quality of the applied input/outputs modeling. This need involves using non-traditional models responding to the increasingly high computation requirements. In this scenario, the Cellular Automata paradigm represents a new frontier with considerable potential. Specifically, this paper describes the Eulerian Water quAlity Modeling—Cellular Automata (EWAM-CA) model, aimed at simulating the sodium hypochlorite (chlorine) injection, transport, and reaction phase in a medium-sized drinking water network. The EWAM-CA accuracy was compared with the Epanet software on a Fossolo water network, in Bologna town (Italy), considering a constant and an impulsive input respectively. Due to CA's intrinsic aptitude for parallel computing, a parallel version of EWAM-CA was developed. Moreover, using the capability of the cellular automata to manage the modeling asynchronously, improving the computational efficiency, we propose a novel approach based on activation/deactivation asynchronous rules, avoiding unnecessary calculations in nodes or pipes where no pollution occurs. The different EWAM-CA versions were compared for the case study, and the parallel EWAM-CA approach coupled with asynchronous functionality significantly improved computational performance.

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“…Richards' equation consists of a governing equation that is used to describe the water flow in subsurface porous media such as soil in unsaturated conditions [1]. It is continuously subjected to numerical investigation [2][3][4][5][6][7][8][9][10][11]. The modeling of water distribution using the equation has essential applications in climate science, agriculture and also ecosystem management [12].…”

Section: Introductionmentioning

confidence: 99%

Transition Between Constitutive Equations and the Mechanics of Water Flow in Unsaturated Soil: Numerical Simulations

Giap

Noborio

2021

ARFMTS

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Richards’ partial differential equation normally governs water flows in soil. It can be utilized to investigate water infiltration in the soil. A case study of the Haverkamp’s water infiltration simulation into Yolo Light Clay was carried out. A common practice to change between the hydraulic functions (from Haverkamp to van Genuchten) could cause a discrepancy in the simulation results. Hence, the first objective is to modify van Genuchten’s equations to reproduce the water infiltration result that was obtained using the Haverkamp constitutive functions. The method used was able to recreate water infiltration by increasing the fitting parameters of the van Genuchten constitutive functions. The second objective is to identify the mechanism governing the flow of water. The soil water diffusivity and the hydraulic conductivity were responsible for the flux of water in the soil. The Richards’ equation was discretized using a finite difference method, and the algebraic solution was coded into Simply Fortran 2008.

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OpenCAL system extension and application to the three-dimensional Richards equation for unsaturated flow

Cited by 21 publications

References 57 publications

Tailoring load balancing of cellular automata parallel execution to the case of a two-dimensional partitioned domain

Tailoring load balancing of cellular automata parallel execution to the case of a two-dimensional partitioned domain

Novel Eulerian Approach with Cellular Automata Modelling to Estimate Water Quality in a Drinking Water Network

Transition Between Constitutive Equations and the Mechanics of Water Flow in Unsaturated Soil: Numerical Simulations

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