We are a computational applied mathematics research group based at the Warwick Mathematics Institute in the United Kingdom. We focus on interfaces, with our work sitting at the intersection of analytical and computational methods, combining reduced-order modelling, asymptotic analysis, stability theory and direct numerical simulation, targeting technologically relevant problems across fluid mechanics (involving, you guessed it, interfaces arising in physical systems involving droplet, bubble or liquid film dynamics), computational acoustics, and beyond (with quite a few industrial mathematics projects and examples of knowledge exchange). Making physical insight and results arising from complex simulation workflows readily deployable and usable in cross-disciplinary contexts is an important mission of ours.

• Anton Oleinik — Interfacial flows in porous media (started 2025), co-supervised with Ellen Luckins
• Stephan Gambart — Programmable fluids & metamaterials (started 2025), co-supervised with Bryn Davies
• Rumesh Sudhaharan — Spreading and solidifying droplets (started 2024), co-supervised with James Sprittles and Thomas Sykes
• Minerva Schuler — Bioreactor modelling for alternative proteins (started 2023), co-supervised with Ferran Brosa Planella
• Sebastian Dooley — Data-driven approaches for liquid films (started 2022), co-supervised with James Sprittles and Albert Bartok-Partay

• Oscar Holroyd · Google Scholar — Control strategies for thin film flows (HetSys CDT, 2021–2025), project co-supervised with Susana Gomes
• Benjamin Fudge · Google Scholar — Drop impact and splashing dynamics (Department of Engineering Science, University of Oxford, 2018–2023), project co-supervised with Alfonso Castrejon-Pita
• Michael Negus · Google Scholar — High-speed impact onto deformable substrates (Mathematical Institute, University of Oxford, 2018–2022), project co-supervised with Madeleine Moore and Jim Oliver

💧 Drop impact Bouncing · Coalescence · Splashing · Multi-fluid systems	⚡ Multi-physics flow control Electrohydrodynamics · Falling films · Feedback control · Bioreactors	🔊 Computational acoustics Perfectly matched layers · Helmholtz equation · Focused ultrasound	🏭 Industrial mathematics Aircraft anti-icing · Vacuum pumps · Pesticide sprays · Port logistics

We are also getting to grips with a few new exciting topics as we speak:

• 🔍 data-driven equation discovery - check out our latest pre-print on the topic!
• 🧊 phase change and icing
• 🌀 multi-stable meta-fluids
• 🧩 flow through porous media
• 🦠 non-Newtonian/rheological aspects of fluids flow

Simulation frameworks:

• Basilisk C — adaptive mesh refinement, volume-of-fluid interface tracking, MPI parallelism
• oomph-lib — object-oriented FEM library for multi-physics problems, fluid–structure interaction, acoustics

Modelling toolchains: MATLAB (reduced-order models, asymptotic analysis), Python (post-processing, data workflows)
HPC: Warwick Scientific Computing Research Technology Platform; external allocations at national facilities

1. Sykes, Alventosa, Castrejon-Pita, Cimpeanu, Harris, Castrejon-Pita — Fast droplet impact onto slowly moving deep pools, J. Fluid Mech. 1037, A11 (2026). doi:10.1017/jfm.2026.11586
2. Harris, Alventosa, Sand, Silver, Mohammadi, Sykes, Castrejon-Pita, Cimpeanu — Bouncing to coalescence transition for droplet impact onto moving liquid pools, J. Fluid Mech. 1030, A16 (2026). doi:10.1017/jfm.2026.11232
3. Holroyd, Cimpeanu, Gomes — Nonlinear estimators for the observation and stabilization of falling liquid films, Proc. R. Soc. A 481, 2327 (2025). doi:10.1098/rspa.2025.0539
4. Gabbard, Agüero, Cimpeanu, Kuehr, Silver, Barotta, Galeano-Rios, Harris — Drop rebound at low Weber number, J. Fluid Mech. 1019, A25 (2025). doi:10.1017/jfm.2025.10589
5. Kim, Harris, Cimpeanu — Computational modeling of fluid motion in a rocking bioreactor, Int. J. Multiphase Flow 193, 105375 (2025). doi:10.1016/j.ijmultiphaseflow.2025.105375

→ Full publication list

Around our own corridors at the Warwick Mathematics Institute you will often find us talking shop (or, more formally, collaborating with) amazing colleagues such as Susana Gomes, James Sprittles, Ferran Brosa Planella, Ed Brambley, Thomasina Ball, Ellen Luckins, Kat Phillips and Bryn Davies, as well as Thomas Sykes and Albert Bartok-Partay across departmental bridges.

We are in active collaboration with several fantastic experimental and theoretical groups, currently having strong links over multiple projects with:

We also work closely with colleagues at Imperial College London, the Mathematical Institute at the University of Oxford, the University of Manchester, Loughborough University, Cranfield University, the University of East Anglia, the University of Strathclyde, the University of Limerick, Queensland University of Technology, and are grateful to the many friendly faces across our community who support us.

For quite a few years we have done our best to release accessible implementations (source code, tutorial, examples) alongside any publications and outputs from the group. We will strive to do so in the future as well. Have a look around and do not hesitate to get in touch with us at conferences, workshops or just by reaching out if you have interesting ideas to extend this space. A complete list of publication with companion codes can be found here.

• 🎓 Prospective PhD/postdoc students: See open opportunities or reach out directly
• 🤝 Research collaborations: We welcome contacts from experimental, theoretical, and industry partners
• 💻 Code issues / questions: Just get in touch, either by opening an issue or letting us know. We're pretty friendly!
• 📧 Contact: Radu.Cimpeanu [at] warwick.ac.uk · LinkedIn