Research

Pick a problem. Make it yours.

Open topics for undergraduate research (IC & TCC) and graduate programs (M.Sc. & Ph.D.). Each one mixes physics, computation and — often — a real prototype on the bench.
B ⊗+−J ↓F = J × B
Undergraduate · IC & TCC

Mini Magnetohydrodynamic Thruster: Simulation & Prototype

Propulsion with no moving parts.

Magnetohydrodynamic (MHD) propulsion pushes conductive fluids using only electric and magnetic fields — the Lorentz force does the work. You'll model the physics, simulate the channel and build a working thruster on the bench.

You'll work withElectromagnetismCFDPrototyping
θ(t) → 0PIDθ
Undergraduate · IC & TCC

Mini Self-Balancing Robot: Modeling, Control & Prototype

Keep an unstable system standing.

An inverted pendulum on wheels: derive the dynamics, design PID and optimal controllers, integrate sensors and actuators, and watch your robot balance itself. A hands-on introduction to control and mobile robotics.

You'll work withDynamicsPID / LQRArduino
ρ ∈ {0,1}ⁿŷ = C(ρ)
Undergraduate · IC & TCC

Performance Prediction Using Machine Learning on Simulated Structures

Teach a network to see stiffness.

Structures become binary meshes; simulations become a dataset. You'll generate the data, train supervised models that predict performance in milliseconds instead of minutes, and validate them against the physics.

You'll work withPythonPyTorchFEM
→ forward · easyreverse · blocked ←
Undergraduate · IC & TCC

Fluidic Diode Design

A valve that only works one way — with no valve.

Fluidic diodes let fluid pass easily one way and resist it the other, with no moving parts — like Tesla's valve. You'll run CFD, optimize the geometry, 3D-print it and measure it. Applications: respiratory devices, biomedical systems, microfluidics.

You'll work withCFDOptimization3D printing
H₂H₂Ooptimized flow field · anode
M.Sc. & Ph.D.

Topology Optimization of Fuel Cells

Let the optimizer draw the hydrogen highways.

Design PEMFC and SOFC flow fields for efficiency, durability and cost. Multiphysics modeling (electrochemistry, mass and heat transport, stresses), multi-objective and degradation-aware optimization, manufacturing constraints and experimental validation.

You'll work withMultiphysicsAdjoint methodsHydrogen
NSσ(ρ) · design fieldu × B
M.Sc. & Ph.D.

Topology Optimization of Magnetohydrodynamics

Shape the channel, steer the field.

Develop topology optimization for MHD systems to maximize energy conversion and flow control: coupled MHD solvers, new parameterizations, adjoint sensitivities and experiments. Applications: MHD generators, liquid-metal pumps, aerospace flow control, biomedical devices.

You'll work withFEMAdjointElectromagnetics
ρ⁽ᵏ⁾ → ρ*∂J/∂ρ ≈ NNJ(ρ) ↓
M.Sc. & Ph.D.

Machine Learning Surrogate Models for Topology Optimization

Replace hours of sensitivities with one forward pass.

Build ML surrogates that replace expensive sensitivity calculations: CNN, GNN and transformer architectures, physics-informed constraints, hybrid optimization and uncertainty quantification. Applications: lightweight automotive parts, aerospace components, heat exchangers.

You'll work withDeep learningSciMLOptimization

Recommended reading

Build your foundations

The books and papers we hand to every new member of the lab.

Topology Optimization

  • Bendsøe, M. P. & Sigmund, O. Topology Optimization: Theory, Methods, and Applications Springer, 2003 · The foundational textbook for the field.
  • Borrvall, T. & Petersson, J. Topology optimization of fluids in Stokes flow Int. J. Numer. Methods Fluids, 2003 · Seminal paper on fluid topology optimization.
  • Sigmund, O. & Maute, K. Topology optimization approaches Structural and Multidisciplinary Optimization, 2013 · Comprehensive review of methods.

Computational Fluid Dynamics

  • Versteeg, H. K. & Malalasekera, W. An Introduction to Computational Fluid Dynamics: The Finite Volume Method Pearson, 2007
  • Anderson, J. D. Computational Fluid Dynamics: The Basics with Applications McGraw-Hill, 1995
  • Ferziger, J. H. & Perić, M. Computational Methods for Fluid Dynamics Springer, 2002

Machine Learning & Deep Learning

  • Goodfellow, I., Bengio, Y. & Courville, A. Deep Learning MIT Press, 2016 · Free online.
  • Bishop, C. M. Pattern Recognition and Machine Learning Springer, 2006
  • Brunton, S. L. & Kutz, J. N. Data-Driven Science and Engineering Cambridge University Press, 2022 · Bridges ML with physical systems.

Fuel Cells

  • O'Hayre, R. et al. Fuel Cell Fundamentals Wiley, 2016 · PEMFC and SOFC electrochemistry, transport and design.
  • Barbir, F. PEM Fuel Cells: Theory and Practice Academic Press, 2012

Control Systems & Robotics

  • Ogata, K. Modern Control Engineering Pearson, 2010 · Classic reference for PID and state-space control.
  • Nise, N. S. Control Systems Engineering Wiley, 2019
  • Siciliano, B. et al. Robotics: Modelling, Planning and Control Springer, 2010

Finite Element Method

  • Hughes, T. J. R. The Finite Element Method: Linear Static and Dynamic Finite Element Analysis Dover, 2000
  • Reddy, J. N. An Introduction to the Finite Element Method McGraw-Hill, 2005
  • Zienkiewicz, O. C. & Taylor, R. L. The Finite Element Method Butterworth-Heinemann, 2000

Your research could be the next flow we optimize

No prior optimization experience required for undergraduates — curiosity and commitment are what matter. Graduate positions are funded through FAPESP, CNPq and CAPES.