Cellular Nonlinear Network for fluid dynamics: towards geophysical flows modeling

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Published: 2025-05-26
DOI: https://doi.org/10.4401/ag-9262

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Giuseppe La Spina
Università degli Studi di Catania, Dipartimento Ingegneria Elettrica Elettronica e Informatica, Catania, Italy
Luigi Fortuna
Università degli Studi di Catania, Dipartimento Ingegneria Elettrica Elettronica e Informatica, Catania, Italy
Arturo Buscarino
Università degli Studi di Catania, Dipartimento Ingegneria Elettrica Elettronica e Informatica, Catania, Italy
Vito Zago
Istituto Nazionale di Geofisica e Vulcanologia, Osservatorio Etneo, Catania, Italy

Abstract

This work proposes an application of Cellular Nonlinear Networks (CNNs) to fluid dynamics, implemented towards the application to geophysical flows. We revisit the CNN paradigm for the solution of Partial Differential Equations with a focus of some main physical properties of geophysical flows. We address numerical aspects of the obtained model, including the treatment of boundary conditions, stability and correctness of the results. This is done by applying our method to canonical testcases and comparing the results with accepted benchmark data and analytical solutions from the literature. The parallelizability of the method is also assessed by means of benchmarking tests on a multi-core processor. We validate the model by simulating classical geophysical flows. The results that we present show the capability of the model to reproduce typical velocity profiles of viscous flows, making it promising for applications that require the simulation of such materials.

Article Details

Issue

Vol. 68 No. 2 (2025)

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SPECIAL ISSUE: Artificial intelligence for Volcanology
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How to Cite

(1)
La Spina, G.; Fortuna, L.; Buscarino, A.; Zago, V. Cellular Nonlinear Network for Fluid Dynamics: Towards Geophysical Flows Modeling. Ann. Geophys. 2025, 68 (2), V227. https://doi.org/10.4401/ag-9262.

References