Department of Aerospace Engineering · UIUC

Numerics & Unsteady Flows Group

We develop high-fidelity numerical methods and open-source tools to understand the rich physics of unsteady flows — from emergent interactions with architected structures and metamaterials to the numerical foundations that make simulating them possible.

Who We Are

Advancing Computational Fluid Dynamics

Welcome! We are passionate about emergent flow-structure interaction — systems where natural or engineered heterogeneity, architecture, and shape leads to new coupled behaviors that do not exist when studying flow interacting with conventional structures.

We bring creativity, curiosity, and strong engagement across biology, structural mechanics, and fluid mechanics communities, to identify what coupled behaviors to investigate and target what engineering breakthroughs may be unlockable. We quantify the coupled behaviors with high-accuracy tools that we develop, maintain, and provide open access to (with accessible accompanying documentation!). We are passionate about designing these tools to be fast, rigorously derivable, and as modular as possible for use across platforms and different flow and structure solvers.

All tools we develop are done to take advantage of the latest advances in GPU capabilities and automatic differentiation-enabled gradient information, to enable faster computation and advanced analysis to uncover the deepest mysteries of these beautiful systems we study.

We are part of the Department of Aerospace Engineering within the Grainger College of Engineering and welcome collaboration across engineering, biology, and applied mathematics.

Flow simulation
What We Study

Research Arcs

Our work spans emergent flow-structure interaction, computational frameworks for flow-interface problems, and the geometric and dynamic foundations of flow simulation.

Emergent Flow-Structure Interaction

Emergent Flow-Structure Interaction

Pairing architected structures with the scales, directionality, and state changes of the underlying flow to unlock passive, adaptive flow control and sensing.

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Computational Frameworks for Flow-Interface Problems

Computational Frameworks for Flow-Interface Problems

Interface treatments that stay rigorously accurate without sacrificing speed or modularity, built to exploit GPUs and automatic differentiation.

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Geometric and Dynamic Foundations for Flow Simulations

Geometric and Dynamic Foundations for Flow Simulations

Geometric perspectives on interface boundary conditions and phase-space views of cyclical flows, reframing old problems to compute them faster.

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Latest Updates

Recent News

Our Work

Newest Publications

A framework to systematically study the nonlinear fluid-structure interaction of phononic materials with aerodynamic flows

Ramakrishnan V., Burgos A., Park S., Matlack K., Goza A.

Journal of Fluids and Structures, 2026

2026

Dynamic passive control of turbulent drag via subsurface resonant phononic material

Lin C., Ramakrishnan V., Goza A., Matlack K., Bae H.

AIAA SCITECH 2026 Forum, 2026

2026

A High-Fidelity Simulation Framework for Turbulent Flows with Complex (Metamaterial) Structures

Beckers D., Balasubramanian S., Lin C., Goza A., Bae H.

AIAA SCITECH 2026 Forum, 2026

2026