Data-driven modeling framework
Data-driven modeling framework
Shock train in an isolator (with B. Morgan)
Shock-boundary layer interaction (with B. Morgan)
Wing/propeller wake interaction
Turbulence modeling for high lift flows
Turbulence in a vortex
Turbulence in a vortex



Research Faculty

Postdoctoral Scholars

PhD Students

Masters research

  • Sven Giorno

Affiliated PhD Students

  • Michael Chia (Friedmann group)
  • Ankit Goel (Bernstein group)
  • Guodong Chen (Fidkowski group)
  • Puneet Singh (Friedmann group)

Mascot scholar

Former Postdoctoral Scholars

  • Shivaji Medida, Michigan
  • Vinod Lakshminarayan, Stanford

Former PhD Students

  • Anand Pratap Singh (PhD) 2017, Michigan
  • Alejandro Campos (PhD, Co-advised) 2016, Stanford
  • Aniket Aranake (PhD) 2015, Stanford
  • Brendan Tracey (PhD, Co-advised) 2015, Stanford
  • Alex Pankonien (PhD, Co-advised) 2015, Michigan
  • Tom Taylor (PhD, Co-advised) 2013, Stanford
  • Alasdair Thom (PhD) 2011, Glasgow

Former Masters research

  • Rehan Newaz 2016, Michigan
  • Shelly Jiang 2016, Michigan
  • Kislaya Srivatsava 2016, Michigan
  • John Bremseth 2016, Michigan
  • Pedro Paredes Gonzalez 2009, Glasgow
  • Eckhard Dietze 2009, Glasgow
  • Davide Ambesi 2008, Glasgow

Research Projects


Physics-constrained, Data-enabled modeling
Our belief is that data is not an alternative for physical modeling, but when combined with—and informed by—a detailed knowledge of the physical problem and problem-specific constraints, data-driven modeling is likely to yield successful solutions. You can read more about our philosophy here. One example of our work is the development of a new paradigm that combines field inversion and machine learning to enable data-driven modeling. Our critical contribution is the idea that spatio-temporal discrepancies (which are determined by inverse modeling) can be transformed into functional forms that can be embedded into a predictive model. A bare-bones schematic can be found here . This is a long term effort and we are methodically exploring many aspects of the process including generating the data via design of experiments, developing/extending machine learning methods as well as addressing computer science aspects. These activities have directly led to the establishment of the Center for Data-driven Computational Physics . While these ideas are general, application to turbulence modeling is is being coordinated in in a collaborative project. .
Funded by NASA, DARPA, ONR and NSF/MRI (2013-present) .

Turbulence modeling
This research seeks to develop a new generation of turbulence models for use in engineering predictions. This encompasses
(i) Theoretical approach: A unique approach that describes the state of turbulence using the morphology of coherent structures, and
(ii) Data-driven approach: Aided by inversion and machine learning models.
(iii) 'Mathematical approach': Aided by the mathematics of the coarse-graining process (using projection operator-type ideas).
Funded by NASA, NSF/CDESE, ONR and AFOSR (2013-present) .

Novel techniques for statistical coarse graining
We are developing mathematically-consistent models using ideas from statistical mechanics that account for the impact of unresolved physics and numerical errors on resolved variables. The novelty is that time-history (non-Markovian) effects which have long been ignored in traditional large eddy simulation approaches can be formally represented. The techniques developed in this effort have applicability in a wide range of problems.
Funded by AFOSR (2016-present) .

Adaptive control using data-based techniques
We seek to extend data-driven adaptive control to systems that are beyond the capability of traditional adaptive control algorithms due to the extreme complexity of the physics. This will be accomplished by developing, demonstrating, and validating a novel diagnostic modeling methodology that that is based on limited sensor data to uncover the essential dynamics of the system. Specificially, we combine multidisciplinary expertise in adaptive control and system identification; computational fluid dynamics and data-driven modeling; and combustion dynamics and physics-guided diagnostics. The venue for developing, demonstrating, and validating the proposed diagnostic modeling methodology is experimental control of instability in lean premixed combustion.
Funded by NSF/CMMI (2017-present) .

Uncertainty quantification
This research addresses the fundamental question: In the process of making computational predictions, how best can we affix “error-bars” on simulation outputs? The ultimate goal is to develop a unified framework that not only accounts for randomness and variability in the system of interest, but also to quantitatively express our deficiencies in modeling the system. We are using adjoint techniques extensively to address discretization and sampling errors and field inference and machine learning to address model form errors. Under DARPA funding, we are embedding this approach within a Design Under Uncertainty (DUU) setting. The immediate application is aerothermal/structural design of a fighter aircraft nozzle.
Funded by DARPA (2015-present) .

Efficient numerical schemes for the vorticity transport equations
With a view towards computing high Reynolds number vortex dominated flows such as those in the wakes of helicopters and ships, we are developing techniques to solving fluid flow equations in vorticity-velocity form. This technique presents inherent advantages over solving the conventional Navier—Stokes equations because coherent structures can be compactly described in terms of Vorticity variables. Toward this end, we are developing sharp gradient-capturing numerical schemes such coherent structures can be resolved using a relatively small number of mesh points over the length scales.
Funded by Continuum Dynamics, Inc. and Navy (2016-present) .

Reduced Order Modeling
We are exploring techniques to reduce the dimensionality of large-scale complex systems. We are developing techniques to parameterize the impact of unresolved scales on the resolved variables and exploring techniques that can significantly promote sparse approximations.
Center of Excellence funded by AFOSR and AFRL (2017-present) .


Liquid-fueled Rocket engines
The goal of the center is to advance the state-of-the-art in Reduced Order Models (ROMs) and enable efficient prediction of transient events leading to the onset of instabilities in liquid fueled rocket combustion systems. The key outcomes are the following:
1. ROMs of variable/adaptive fidelity derived from an organized hierarchy of higher fidelity simulations.
2. Integration of ROMs into a multi-fidelity model that can predict the stability characteristics of a full-scale LRE containing multiple injector elements.
3. Given a nominal engine configuration, end use is a methodology that designers can use to: a) Efficiently characterize combustion dynamics in O(days) on small cluster; b) Explore effect of parametric changes on QoIs
4. Innovations to the science of reduced modeling of complex systems
5. Engagement with AFRL researchers and exchange of knowledge, tools and data.

Center of excellence funded by AFOSR and AFRL (2017-present) .

Battery materials
This project seeks to advance a more complete and quantitative understanding of the physics of battery materials. It will enable battery design for performance (specific capacity, specific power density, charge/discharge rates etc.), thermal management, prevention of mechanical degradation, and closed-loop control, guided by computational modeling. This project will combine new ideas of machine learning with the development of advanced computational methods to enhance the ability of the computational materials physicist to predict battery properties with quantitative accuracy. The machine learning programs will link the simulation codes at the various scales using large data sets from lower scale calculations to inform the models at each scale.
Funded by Toyota (2017-present) .

Unmanned Air Vehicles (UAVs)
We are developing techniques to a) characterize realistic operating environments of UAVs and b) develop an accurate flight dynamic model with the goal of planning optimal trajectories.
Funded by NASA and NSF-IUCRC (2016-present) .

Helicopter-ship board dynamics interface
We are developing surrogate and reduced order techniques to efficiently simulate the operation of helicopters in the airwakes of ships.
Funded by Navy (2016-present) .

Automotive aerodynamics
With the on-going emphasis on fuel economy, reducing aerodynamic drag in road vehicles is a critical concern for the automotive industry. We are working to build a platform which can be used to rapidly study the impact of shape modifications on the aerodynamic performance, by exploring parametric shape modifications. Another target is the integration of wind tunnel results with the computational models such that both techniques can be used in design.
Funded by General Motors (2016-2017) .

High-speed air vehicles
We are extending our science and solvers, to unit (shock-boundary layer interactions, etc), and system level (scramjet flow path, etc) applications pertaining to high-speed aircraft. A currently funded effort is aimed at robust design (optimization under uncertainty) of aircraft nozzles.
Funded by DARPA (2015-present) .

Distributed propulsion
Personal aircraft, powered by batteries have the potential to re-invigorate aviation. We are using our suite of computational tools to analyze and design distributed propulsion systems. Specifically, we are studying efficient propeller designs for improved performance and noise as well as optimal wing designs to beneficially utilize the propeller wake.
Funded by FXB Fellowship (2017-present) .

Wind energy
We are exploring the performance limits and design of unconventional concepts in wind energy. These include vertical axis wind turbine farms, shrouded wind turbines, etc.
Funded by DOE (2011-2013) and NDSEG Fellowship (2012-2015) .


PhD students

We are looking for highly motivated graduate students who are interested in working in areas of our interest (see research and publication sections).

Undergraduate students

We also look forward to hosting talented undergraduate students under the SURE/SOP program.