Research Portfolio
Our research provides mathematical and computational solutions for resolving complex physical phenomena across scales.
Full Publication Lists
For a complete and up-to-date list of my publications, please see:
Research Methodology
My research combines bottom-up physical modelling, efficient numerical approximations, and open-source software development in the following areas:
- Numerical methods for coupled problems in fluid mechanics: This includes coupling fluid flow with electrochemistry, poro-mechanics, heat and mass transfer, multiphase problems, suspensions, and population balance.
- Multiscale analysis for heterogeneous systems: Study of the origins of anomalous transport and dispersion theory, averaging and upscaling techniques in porous and heterogeneous media, deposition, desalination, and filtration.
- Interdisciplinary fluid mechanics: Developing new modelling frameworks connecting fluid mechanics with growing areas such as Molecular Communication, Uncertainty Quantification, inverse problems, Kinetic theory, Coarse-graining, and statistical mechanics.
Modeling Tools & Application Areas
| Modelling Tools | Application Areas |
|---|---|
| Multi-scale methods and upscaling | Carbon Capture and Storage |
| Numerical methods for PDEs | Geothermal Energy |
| Uncertainty quantification | Electrochemical systems and Lithium-Ion batteries |
| Kinetic and PDF equations | Turbulent and multiphase systems |
| Interface Tracking methods | Scientific High-Performance Computing |
| Model reduction and Coarse Graining | Microfluidics |
| Multi-level and adaptive methods | Filtration and desalination |
| Reactive transport and anomalous dispersion | Inverse and reconstruction problems |
| Computational Fluid Dynamics | Particulate and granular flows |
Selected Landmark Publications
- “From microstructure to memory: Basset-type fractional transport models in porous media”, Proceedings of the Royal Society A (2025).
- “Inverse Physics-Informed Neural Networks for transport models in porous materials”, Computer Methods in Applied Mechanics and Engineering (2025).
- “Mechanisms of Dispersion in a Porous Medium”, Journal of Fluid Mechanics (2018).