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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.

A systematic analysis of the memory term in coarse-grained models: The case of the Markovian approximation (2022)
Journal Article
Di Pasquale, N., Hudson, T., Icardi, M., Rovigatti, L., & Spinaci, M. (2023). A systematic analysis of the memory term in coarse-grained models: The case of the Markovian approximation. European Journal of Applied Mathematics, 34(2), 326-345. https://doi.org/10.1017/s0956792522000158

The systematic development of coarse-grained (CG) models via the Mori–Zwanzig projector operator formalism requires the explicit description of a deterministic drift term, a dissipative memory term and a random fluctuation term. The memory and fluctu... Read More about A systematic analysis of the memory term in coarse-grained models: The case of the Markovian approximation.

Population Balance Models for Particulate Flows in Porous Media: Breakage and Shear-Induced Events (2022)
Journal Article
Icardi, M., Pasquale, N. D., Crevacore, E., Marchisio, D., & Babler, M. U. (2023). Population Balance Models for Particulate Flows in Porous Media: Breakage and Shear-Induced Events. Transport in Porous Media, 146, 197-222. https://doi.org/10.1007/s11242-022-01793-5

Transport and particulate processes are ubiquitous in environmental, industrial and biological applications, often involving complex geometries and porous media. In this work we present a general population balance model for particle transport at the... Read More about Population Balance Models for Particulate Flows in Porous Media: Breakage and Shear-Induced Events.

Mathematical Modeling and Pilot Test Validation of Nanoparticles Injection in Heavy Hydrocarbon Reservoirs (2022)
Journal Article
Valencia, J. D., Mejía, J. M., Icardi, M., & Zabala, R. (2022). Mathematical Modeling and Pilot Test Validation of Nanoparticles Injection in Heavy Hydrocarbon Reservoirs. Fluids, 7(4), Article 135. https://doi.org/10.3390/fluids7040135

Heavy-oil mobility in reservoir rocks can be improved, using nanotechnology, by reducing the viscosity of the oil and improving the rock wettability to a water-wet condition. Previous pilot studies in Colombian heavy oil fields reported that nanopart... Read More about Mathematical Modeling and Pilot Test Validation of Nanoparticles Injection in Heavy Hydrocarbon Reservoirs.

Liquid film distribution around long gas bubbles propagating in rectangular capillaries (2022)
Journal Article
Magnini, M., Municchi, F., El Mellas, I., & Icardi, M. (2022). Liquid film distribution around long gas bubbles propagating in rectangular capillaries. International Journal of Multiphase Flow, 148, Article 103939. https://doi.org/10.1016/j.ijmultiphaseflow.2021.103939

We present a systematic analysis of the bubble and liquid film dynamics corresponding to the propagation of long, isolated gas bubbles, within rectangular capillary channels of cross-sectional aspect-ratio ranging from 1 to 8. Direct numerical simula... Read More about Liquid film distribution around long gas bubbles propagating in rectangular capillaries.

MPeat—A fully coupled mechanical-ecohydrological model of peatland development (2021)
Journal Article
Mahdiyasa, A. W., Large, D. J., Muljadi, B. P., Icardi, M., & Triantafyllou, S. (2022). MPeat—A fully coupled mechanical-ecohydrological model of peatland development. Ecohydrology, 15(1), Article e2361. https://doi.org/10.1002/eco.2361

Mathematical models of long-term peatland development have been produced to analyse peatland behaviour. However, existing models ignore the mechanical processes that have the potential to provide important feedback. Here, we propose a one-dimensional... Read More about MPeat—A fully coupled mechanical-ecohydrological model of peatland development.

Non-Stationary Contaminant Plumes in the Advective-Diffusive Regime (2021)
Journal Article
Alhama, I., García-Ros, G., & Icardi, M. (2021). Non-Stationary Contaminant Plumes in the Advective-Diffusive Regime. Mathematics, 9(7), 1-25. https://doi.org/10.3390/math9070725

Porous media with low/moderate regional velocities can exhibit a complex dynamic of contamination plumes, in which advection and molecular diffusion are comparable. In this work, we present a two-dimensional scenario with a constant concentration sou... Read More about Non-Stationary Contaminant Plumes in the Advective-Diffusive Regime.

Heterogeneous Multi-Rate mass transfer models in OPENFOAM® (2020)
Journal Article
Municchi, F., Di Pasquale, N., Dentz, M., & Icardi, M. (2021). Heterogeneous Multi-Rate mass transfer models in OPENFOAM®. Computer Physics Communications, 261, Article 107763. https://doi.org/10.1016/j.cpc.2020.107763

© 2020 Elsevier B.V. We implement the Multi-Rate Mass Transfer (MRMT) model for mobile–immobile transport in porous media (Haggerty and Gorelick, 1995; Municchi and Icardi, 2019 [1]) within the open-source finite volume library OPENFOAM® (Foundation,... Read More about Heterogeneous Multi-Rate mass transfer models in OPENFOAM®.

Numerical simulation of crust freezing in processed meat: A fully coupled solid–fluid approach (2020)
Journal Article
Greiciunas, E., Municchi, F., Di Pasquale, N., & Icardi, M. (2020). Numerical simulation of crust freezing in processed meat: A fully coupled solid–fluid approach. Numerical Heat Transfer, Part A Applications, 78(8), 378-391. https://doi.org/10.1080/10407782.2020.1793546

© 2020, © 2020 Taylor & Francis Group, LLC. We present a numerical model for the simulation of continuous impingement freezing of processed food products. This model is capable of fully describing the fluid dynamics of the non-isothermal flow field... Read More about Numerical simulation of crust freezing in processed meat: A fully coupled solid–fluid approach.

Macroscopic models for filtration and heterogeneous reactions in porous media (2020)
Journal Article
Municchi, F., & Icardi, M. (2020). Macroscopic models for filtration and heterogeneous reactions in porous media. Advances in Water Resources, 141, Article 103605. https://doi.org/10.1016/j.advwatres.2020.103605

Derivation of macroscopic models for advection-diffusion processes in the presence of dominant heterogeneous (e.g., surface) reactions using homogenisation theory or volume averaging is often deemed unfeasible (Valdés-Parada et al., 2011; Battiato an... Read More about Macroscopic models for filtration and heterogeneous reactions in porous media.

Computational analysis of transport in three-dimensional heterogeneous materials: An OpenFOAM®-based simulation framework (2020)
Journal Article
Boccardo, G., Crevacore, E., Passalacqua, A., & Icardi, M. (2020). Computational analysis of transport in three-dimensional heterogeneous materials: An OpenFOAM®-based simulation framework. Computing and Visualization in Science, 23, Article 4. https://doi.org/10.1007/s00791-020-00321-6

© 2020, The Author(s). Porous and heterogeneous materials are found in many applications from composites, membranes, chemical reactors, and other engineered materials to biological matter and natural subsurface structures. In this work we propose an... Read More about Computational analysis of transport in three-dimensional heterogeneous materials: An OpenFOAM®-based simulation framework.

Generalized multirate models for conjugate transfer in heterogeneous materials (2020)
Journal Article
Municchi, F., & Icardi, M. (2020). Generalized multirate models for conjugate transfer in heterogeneous materials. Physical Review Research, 2(1), Article 013041. https://doi.org/10.1103/PhysRevResearch.2.013041

We propose a novel macroscopic model for conjugate heat and mass transfer between a mobile region, where advective transport is significant, and a set of immobile regions where diffusive transport is dominant. Applying a spatial averaging operator to... Read More about Generalized multirate models for conjugate transfer in heterogeneous materials.

Upscaling Flow and Transport Processes (2019)
Book Chapter
Icardi, M., Boccardo, G., & Dentz, M. (2019). Upscaling Flow and Transport Processes. In F. Toschi, & M. Sega (Eds.), Flowing Matter, 137-176. Springer International Publishing. https://doi.org/10.1007/978-3-030-23370-9_5

This chapter deals with flow, transport and reaction processes in porous and heterogeneous media characterised by multiple spatial scales. Although the governing equations, at the micro-scale, are simple (and often linear), complex upscaled (effectiv... Read More about Upscaling Flow and Transport Processes.

Systematic derivation of hybrid coarse-grained models (2019)
Journal Article
Di Pasquale, N., Hudson, T., & Icardi, M. (2019). Systematic derivation of hybrid coarse-grained models. Physical Review E, 99(1), Article 013303. https://doi.org/10.1103/PhysRevE.99.013303

Molecular dynamics represents a key enabling technology for applications ranging from biology to the development of new materials. However, many real-world applications remain inaccessible to fully-resolved simulations due their unsustainable computa... Read More about Systematic derivation of hybrid coarse-grained models.

Mechanisms of dispersion in a porous medium (2018)
Journal Article
Dentz, M., Icardi, M., & Hidalgo, J. J. (2018). Mechanisms of dispersion in a porous medium. Journal of Fluid Mechanics, 841, https://doi.org/10.1017/jfm.2018.120

This paper studies the mechanisms of dispersion in the laminar flow through the pore space of a three-dimensional porous medium. We focus on preasymptotic transport prior to the asymptotic hydrodynamic dispersion regime, in which solute motion may be... Read More about Mechanisms of dispersion in a porous medium.

Effect of wettability on two-phase quasi-static displacement: validation of two pore scale modeling approaches (2018)
Journal Article
Verma, R., Icardi, M., & Prodanovic, M. (2018). Effect of wettability on two-phase quasi-static displacement: validation of two pore scale modeling approaches. Journal of Contaminant Hydrology, 212, https://doi.org/10.1016/j.jconhyd.2018.01.002

Abstract Understanding of pore-scale physics for multiphase flow in porous media is essential for accurate description of various flow phenomena. In particular, capillarity and wettability strongly influence capillary pressure-saturation and relative... Read More about Effect of wettability on two-phase quasi-static displacement: validation of two pore scale modeling approaches.