Computational and Data-Driven Fluid Dynamics

Tim Colonius

Frank and Ora Lee Marble Professor of Mechanical Engineering and Medical Engineering
Cecil and Sally Drinkward Leadership Chair

We seek to understand the fundamental mechanisms underlying complex unsteady flows and to develop predictive theoretical, computational, and reduced-order models. Current research spans turbulence and coherent structures, aeroacoustics, instability and transition, unsteady aerodynamics and flow–structure interaction, cavitation and multiphase flows, numerical methods, and data-driven approaches motivated by challenges in aerospace and biomedicine.

We strive to create a research environment in which every member of the group is treated with respect, supported in their growth, and able to bring their full selves to the work we do together. rainbow flag

Visualization of organized flow structures within a turbulent flow.

Turbulence and Coherent Structures

Turbulent flows often appear disordered, yet their dynamics are shaped by organized motions that control transport, mixing, and sound generation. We develop physically interpretable models and analysis tools to identify these coherent structures, understand how they emerge, and use them to build predictive descriptions of complex flows.

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Scientific figure showing the relationship between jet-flow structures and acoustic radiation.

Aeroacoustics and Jet Noise

Turbulent flows generate sound through a subtle interaction of instability, coherent motion, and acoustic radiation. Motivated by the need for quieter propulsion systems, we combine simulation, theory, and reduced-order modeling to uncover the mechanisms by which turbulent jets and other flows produce noise.

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Visualization or schematic of disturbance growth, transition, or flow-control mechanisms.

Instability, Transition, and Flow Control

The transition from orderly motion to turbulence is shaped by the amplification, interaction, and control of disturbances. We develop models and computational methods to predict these processes in shear flows, with the goal of revealing the mechanisms that govern transition and identifying opportunities for control.

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Flow visualization around a moving or deforming aerodynamic body with vortical structures.

Unsteady Aerodynamics and Flow–Structure Interaction

Fluid forces and structural motion are often intimately coupled, producing rich dynamics in both natural and engineered systems. We study the mechanisms governing force production, propulsion, maneuverability, and fluid-mediated interactions in unsteady flows, drawing inspiration from biological locomotion and aerospace applications.

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Visualization of bubbles or cavitation dynamics relevant to shockwave and ultrasound therapy.

Multiphase and Biomedical Flows

Shock waves and ultrasound can drive bubbles through violent nonlinear motions with important consequences for medicine. We study cavitation and multiphase dynamics to understand the physics underlying lithotripsy, histotripsy, drug delivery, and other emerging therapeutic applications.

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Comparison of numerical simulation and experiment for a complex flow with evolving interfaces or boundaries.

Computational Methods for Complex Flows

Advances in fluid mechanics often depend on advances in computation. We develop numerical methods for flows involving shocks, evolving interfaces, complex geometries, and moving boundaries, enabling predictive simulations across a broad range of scientific and engineering problems.

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Schematic or visualization showing the combination of flow data, physical models, and inference.

Data-Driven Modeling and Inference

Data-driven methods create new opportunities to extract structure from complex flows, but prediction requires more than pattern recognition. We integrate machine learning, statistical inference, and data assimilation with physical principles to build interpretable models grounded in the governing dynamics.

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