Fundings

• PI of the ANR JCJC project PHOENICS (294 419,00 €), 2026-2030.

Thesis

• M. Ciallella. Modeling and simulations of flows with shock waves using Shock-Fitting techniques. Master Thesis (2019). La Sapienza University of Rome.

• M. Ciallella. High-order methods for hyperbolic balance laws: from embedded fronts to structure-preserving schemes. Ph.D. Thesis (2022). University of Bordeaux.

Submitted/In revision

• M. Ciallella, J. Visbech. Generalized high-order minimization-based polynomial corrections on unfitted spectral elements for the Poisson problem. Submitted. arxiv.org/abs/2608.06999 

• M. Ciallella, W. Boscheri. Minimization-based polynomial corrections for high-order curved boundaries on fixed and moving domains: assessment on finite volume and discontinuous Galerkin schemes. Submitted. arxiv.org/abs/2608.05768 

• M. Ciallella. Stability analysis of discontinuous Galerkin with a high order embedded boundary treatment for linear hyperbolic equations. Submitted. arxiv.org/abs/2510.23231.

Accepted papers

1. M. Ciallella. Minimization-based embedded boundary methods as polynomial corrections: a stability study of discontinuous Galerkin for hyperbolic equations. Accepted in Journal of Scientific Computing (Springer). arxiv.org/abs/2512.05278 .

2. W. Barsukow, M. Ciallella, M. Ricchiuto, D. Torlo (2026). Genuinely multi-dimensional stationarity preserving Finite Volume formulation for nonlinear hyperbolic PDEs. Journal of Computational Physics (Elsevier), doi.org/10.1016/j.jcp.2025.114633 .

3. M. Ciallella,  J. Koellermeier (2026). High order global flux schemes for general steady state preservation of shallow water moment equations with non-conservative products. Computer and Fluids (Elsevier), doi.org/10.1016/j.compfluid.2025.106887.

4. W. Boscheri, M. Ciallella (2025). High order treatment of moving curved boundaries: Arbitrary-Lagrangian-Eulerian methods with a shifted boundary polynomial correction. Journal of Computational Physics (Elsevier), doi.org/10.1016/j.jcp.2025.114215.

5. M. Ciallella, T. Milcent (2025).  Semi-implicit Eulerian method for the fluid structure interaction of elastic membranes. SIAM Journal of Scientific Computing. epubs.siam.org/doi/full/10.1137/23M1612512 .

6. M. Ciallella, L. Micalizzi, V. Michel-Dansac, P. Offner, D. Torlo (2025).  A high-order, fully well-balanced, unconditionally positivity-preserving finite volume framework for flood simulations. GEM - International Journal on Geomathematics (Springer). doi.org/10.1007/s13137-025-00262-7.

7. M. Ciallella, S. Clain, E. Gaburro, M. Ricchiuto (2024). Very high order treatment of embedded curved boundaries in compressible flows: ADER discontinuous Galerkin with a space-time Reconstruction for Off-site data. Computers and Mathematics with Applications (Elsevier). doi.org/10.1016/j.camwa.2024.08.028. Available in PDF.

8. F. Desmons, T. Milcent, A.-V. Salsac, M. Ciallella (2024). Fully Eulerian models for the numerical simulation of capsules with an elastic bulk nucleus. Journal of Fluids and Structures (Elsevier). doi.org/10.1016/j.jfluidstructs.2024.104109 . Available in PDF.

9. M. Ciallella, D. Torlo, M. Ricchiuto (2023).  Arbitrary High Order WENO Finite Volume Scheme with Flux Globalization for Moving Equilibria Preservation. Journal of Scientific Computing (Springer). doi.org/10.1007/s10915-023-02280-9 . Available in PDF.  

10. M. Ciallella, E. Gaburro, M. Lorini, M. Ricchiuto (2023).  Shifted boundary polynomial corrections for compressible flows: high order on curved domains using linear meshes.  Applied Mathematics and Computation (Elsevier). doi.org/10.1016/j.amc.2022.127698. Available in PDF.

11. A. Assonitis, R. Paciorri, M. Ciallella, Mario Ricchiuto and Aldo Bonfiglioli (2022). Extrapolated Shock Fitting for Two-Dimensional Flows on Structured Grids. AIAA Journal, doi.org/10.2514/1.J061893. Available in PDF.

12. M. Ciallella, L. Micalizzi, P. Offner, D. Torlo (2022). An Arbitrary High Order and Positivity Preserving Method for the Shallow Water Equations. Computer and Fluids (Elsevier), doi.org/10.1016/j.compfluid.2022.105630. Available in PDF. 

13. M. Ciallella, M. Ricchiuto, R. Paciorri, A. Bonfiglioli (2022). Extrapolated DIscontinuity Tracking for complex 2D shock interactions. Computer Methods in Applied Mechanics and Engineering (Elsevier), doi.org/10.1016/j.cma.2021.114543. Available in PDF.

14. L. Campoli, A. Assonitis, M. Ciallella, R. Paciorri, A. Bonfiglioli, M. Ricchiuto (2022). UnDiFi-2D: an Unstructured Discontinuity Fitting code for 2D grids. Computer Physics Communications (Elsevier), doi.org/10.1016/j.cpc.2021.108202. Available in PDF.

15. M. Ciallella, M. Ricchiuto, R. Paciorri, A. Bonfiglioli (2020). Extrapolated Shock Tracking: bridging shock-fitting and embedded boundary methods. Journal of Computational Physics (Elsevier), https://doi.org/10.1016/j.jcp.2020.109440.  Available in PDF.

Proceedings

1. A. Assonitis, R. Paciorri, M. Ciallella, M. Ricchiuto, L. Cirrottola, A. Bonfiglioli. Numerical simulations of shock interactions on 3D structured grids using a shock-fitting approach. AIAA SCITECH 2023 Forum. arc.aiaa.org/doi/10.2514/6.2023-2135. Available in PDF.

2. A. Assonitis, M. Ciallella, R. Paciorri, M. Ricchiuto and A. Bonfiglioli. A shock-fitting technique for 2D/3D flows with interactions using structured grids.  AIAA AVIATION 2022 Forum.  arc.aiaa.org/doi/abs/10.2514/6.2022-4123 . Available in PDF.

3. A. Assonitis, M. Ciallella, R. Paciorri, M. Ricchiuto and A. Bonfiglioli. A new shock-fitting technique for 2-D structured grids.  AIAA SCITECH 2022 Forum. arc.aiaa.org/doi/abs/10.2514/6.2022-2008. Available in PDF.

4. L. Pollice, G. Cascioli, L. Federici, P. Iannelli, I. Di Stefano, M. Ciallella, ... P. Gaudenzi (2018). A Preliminary Design of a Mission to Triton: A Concurrent Engineering Approach. Advances in Astronautics Science and Technology (Springer), doi.org/10.1007/s42423-018-0001-9. 

International and national conferences 

• International Conference on Computational Fluid Dynamics (ICCFD 2026). July, 2026

• ETNA: efficient time-stepping numerical approaches for PDEs. November, 2025. Invited.

• Società Italiana di Matematica Applicata e Industriale (SIMAI 2025). September, 2025. 

• Sharing Higher-order Advanced Know-how on Finite Volume (SHARK-FV 2025). May, 2025.

• 3C: Challenges in Computational methods for Complex environmental applications. May 2025. Invited.

• European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS2024). June, 2024.

• Sharing Higher-order Advanced Know-how on Finite Volume (SHARK-FV 2024). May, 2024.

• 10th International Congress on Industrial and Applied Mathematics (ICIAM 2023). August, 2023.

• Dynamics of Capsules, Vesicles and Cells in Flow (DynaCaps 2023). July, 2023.

• 22nd Computational Fluids Conference (CFC 2023). April, 2023.  Invited.

• Essentially hyperbolic problems: unconventional numerics, and applications (in honor of Rémi Abgrall's 61st birthday). October, 2022.  Invited.

• Congreso bienal de la Sociedad Española de Matemática Aplicada (CEDYA 2022). July, 2022.

• Sharing Higher-order Advanced Know-how on Finite Volume (SHARK-FV 2022). May, 2022.

• High-Order NOnlinear numerical Methods for evolutionary PDEs: Theory and applications (HONOM 2022). April, 2022.

• International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED 2021). June, 2021. 

• European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2020). January, 2020.

• Italian Association of Aeronautics and Astronautics XXV International Congress (AIDAA 2019). September, 2019.

Other talks as invited speaker

• Seminar of the Dipartimento di Matematica Guido Castelnuovo (SAPIENZA, Roma). December, 2025.

• Seminar of the Laboratoire Amiénois de Mathématique Fondamentale et Appliquée (LAMFA, Amiens). October, 2025.

• Seminar of the Laboratoire d’Ingénierie des Fluides et des Systèmes Énergétiques (ENSAM, Paris). January, 2025.

• Seminar of the Laboratoire Jacques-Louis Lions (Sorbonne Université). November, 2024.

• Seminar at the Mini-Workshop on Fluid-Structure-Interaction (INRIA, Paris). September, 2024.

• Seminar of the Laboratoire de mathématiques et de leurs applications  (Université de Pau). January, 2024.

• Seminar of the Laboratoire de Mathématiques Paul Painlevé (Université de Lille). September, 2023.

• Seminar of the équipe-projet COMMEDIA  (INRIA, Paris). September, 2023.

• Seminar of the Laboratoire de Mathématiques Raphaël Salem (LMRS. Rouen). March, 2023.

• Seminar of the Institut de recherche mathématique de Rennes (IRMAR, Rennes). March, 2023.

• Seminar of the Institut Montpelliérain Alexander Grothendieck (IMAG, Montpellier). February, 2023.

• Seminar of the Laboratoire de Mathématiques et Applications (LMA, Poitiers). February, 2023.

• Seminar of the équipe Simulation Avancée et Modélisation Numérique (SIMFI-TREFLE, Bordeaux).  Novembre, 2022.

• Seminar at the Workshop Méthodes Frontières Immergées en Nouvelle-Aquitaine (LMA/PPRIME, Poitiers). October, 2022.

• Seminar of the Institut de Recherche Mathématique Avancée (IRMA, Strasbourg). September, 2022.

Editorial duties

I have served as a reviewer for the following journals:

• Journal of Computational Physics (Elsevier)

• Computers and Fluids (Elsevier)

• Journal of Scientific Computing  (Springer)

• SIAM Journal of Scientific Computing

•  Applied Mathematics and Computation (Elsevier) 

• Shock Waves (Springer)

• Journal of Fluids and Structures (Elsevier)

• Numerische Mathematik (Springer)

• International Journal of Multiphase Flow  (Elsevier)

• Journal of Supercomputing (Springer)