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A reduced-order model for advection-dominated problems based on the Radon Cumulative Distribution Transform (2025)
Journal Article
Long, T., Barnett, R., Jefferson-Loveday, R., Stabile, G., & Icardi, M. (2025). A reduced-order model for advection-dominated problems based on the Radon Cumulative Distribution Transform. Advances in Computational Mathematics, 51(1), https://doi.org/10.1007/s10444-024-10209-5

Problems with dominant advection, discontinuities, travelling features, or shape variations are widespread in computational mechanics. However, classical linear model reduction and interpolation methods typically fail to reproduce even relatively sma... Read More about A reduced-order model for advection-dominated problems based on the Radon Cumulative Distribution Transform.

Inverse Physics-Informed Neural Networks for transport models in porous materials (2024)
Journal Article
Berardi, M., Difonzo, F. V., & Icardi, M. (2025). Inverse Physics-Informed Neural Networks for transport models in porous materials. Computer Methods in Applied Mechanics and Engineering, 435, Article 117628. https://doi.org/10.1016/j.cma.2024.117628

Physics-Informed Neural Networks (PINN) are a machine learning tool that can be used to solve direct and inverse problems related to models described by Partial Differential Equations by including in the cost function to minimise during training the... Read More about Inverse Physics-Informed Neural Networks for transport models in porous materials.

HiPhom𝜺: HIgh order Projection-based HOMogenisation for advection diffusion reaction problems (2024)
Journal Article
Conni, G., Piccardo, S., Michele Porta, G., & Icardi, M. (in press). HiPhom𝜺: HIgh order Projection-based HOMogenisation for advection diffusion reaction problems. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal,

We propose a new model reduction technique for multiscale scalar transport problems that exhibit dominant axial dynamics. To this aim, we rely on the separation of variables to combine a Hierarchical Model (HiMod) reduction with a two-scale asymptoti... Read More about HiPhom𝜺: HIgh order Projection-based HOMogenisation for advection diffusion reaction problems.

MPeat2D - a fully coupled mechanical-ecohydrological model of peatland development in two dimensions (2024)
Journal Article
Mahdiyasa, A. W., Large, D. J., Icardi, M., & Muljadi, B. P. (2024). MPeat2D - a fully coupled mechanical-ecohydrological model of peatland development in two dimensions. Earth Surface Dynamics, 12(4), 929-952. https://doi.org/10.5194/esurf-12-929-2024

Higher-dimensional models of peatland development are required to analyse the influence of spatial heterogeneity and complex feedback mechanisms on peatland behaviour. However, the current models exclude the mechanical process that leads to uncertain... Read More about MPeat2D - a fully coupled mechanical-ecohydrological model of peatland development in two dimensions.

Numerical investigation of bubble dynamics and flow boiling heat transfer in cylindrical micro-pin-fin heat exchangers (2024)
Journal Article
El Mellas, I., Samkhaniani, N., Falsetti, C., Stroh, A., Icardi, M., & Magnini, M. (2024). Numerical investigation of bubble dynamics and flow boiling heat transfer in cylindrical micro-pin-fin heat exchangers. International Journal of Heat and Mass Transfer, 228, Article 125620. https://doi.org/10.1016/j.ijheatmasstransfer.2024.125620

Micro-pin-fin evaporators are a promising alternative to multi-microchannel heat sinks for two-phase cooling of high power-density devices. Within pin-fin evaporators, the refrigerant flows through arrays of obstacles in cross-flow and is not restric... Read More about Numerical investigation of bubble dynamics and flow boiling heat transfer in cylindrical micro-pin-fin heat exchangers.

Splitting schemes for coupled differential equations: Block Schur-based approaches & Partial Jacobi approximation (2024)
Journal Article
Nuca, R., Storvik, E., Radu, F. A., & Icardi, M. (2024). Splitting schemes for coupled differential equations: Block Schur-based approaches & Partial Jacobi approximation. Computers and Mathematics with Applications, 161, 190-201. https://doi.org/10.1016/j.camwa.2024.02.042

Coupled multi-physics problems are encountered in countless applications and pose significant numerical challenges. In a broad sense, one can categorise the numerical solution strategies for coupled problems into two classes: monolithic approaches an... Read More about Splitting schemes for coupled differential equations: Block Schur-based approaches & Partial Jacobi approximation.

Computational framework for complex flow and transport in heterogeneous porous media (2023)
Journal Article
Icardi, M., Pescimoro, E., Municchi, F., & Hidalgo, J. J. (2023). Computational framework for complex flow and transport in heterogeneous porous media. Engineering with Computers, 39, 3927–3940. https://doi.org/10.1007/s00366-023-01825-8

We present a flexible scalable open-source computational framework, named SECUReFoam, based on the finite-volume library OpenFOAM®, for flow and transport problems in highly heterogeneous geological media and other porous materials. The framework com... Read More about Computational framework for complex flow and transport in heterogeneous porous media.

Dynamics of long bubbles propagating through cylindrical micro-pin fin arrays (2023)
Journal Article
El Mellas, I., Municchi, F., Icardi, M., & Magnini, M. (2023). Dynamics of long bubbles propagating through cylindrical micro-pin fin arrays. International Journal of Multiphase Flow, 163, 104443. https://doi.org/10.1016/j.ijmultiphaseflow.2023.104443

The dynamics of two-phase flows confined within complex and non-straight geometries is of interest for a variety of applications such as micro-pin fin evaporators and flow in unsaturated porous media. Despite the propagation of bubbles in straight ch... Read More about Dynamics of long bubbles propagating through cylindrical micro-pin fin arrays.

Modelling the influence of mechanical-ecohydrological feedback on the nonlinear dynamics of peatlands (2023)
Journal Article
Mahdiyasa, A. W., Large, D. J., Muljadi, B. P., & Icardi, M. (2023). Modelling the influence of mechanical-ecohydrological feedback on the nonlinear dynamics of peatlands. Ecological Modelling, 478, Article 110299. https://doi.org/10.1016/j.ecolmodel.2023.110299

Peatlands are complex systems that exhibit nonlinear dynamics due to internal and external feedback mechanisms. However, the feedback of vegetation on peat volume changes that potentially affect peatland dynamics is not well understood. Here, we anal... Read More about Modelling the influence of mechanical-ecohydrological feedback on the nonlinear dynamics of peatlands.

Emergence of non-Fickian transport in truncated pluri-Gaussian permeability fields (2022)
Journal Article
Pescimoro, E., Icardi, M., Porta, G., & Bianchi, M. (2022). Emergence of non-Fickian transport in truncated pluri-Gaussian permeability fields. GEM - International Journal on Geomathematics, 13, Article 17. https://doi.org/10.1007/s13137-022-00207-4

We present a numerical simulation study of advective–diffusive scalar transport in three-dimensional high-contrast discontinuous permeability fields, generated with a truncated pluri-Gaussian geostatistical approach. The numerical experiments are run... Read More about Emergence of non-Fickian transport in truncated pluri-Gaussian permeability fields.