Fluid Flow Topology Optimization
Binary formulations with integer linear programming, topological derivatives and discrete adjoints for incompressible and compressible flows.
I’m Prof. Luís F. N. Sá, and I lead the DO&GE Lab at Escola Politécnica da USP. We combine topology optimization, CFD and machine learning to design fuel cells, turbomachinery and biomedical devices that no human would draw by hand.
Move your cursor over the field — it becomes an obstacle in a live potential flow.

About
I’m a faculty member at the Department of Mechatronics and Mechanical Systems Engineering (PMR) of Poli-USP — one of Latin America’s leading engineering schools — since September 2023. My work sits at the intersection of topology optimization, computational fluid dynamics and machine learning.
My Ph.D. designed ventricular assist devices through topology optimization, showing how optimization can directly impact healthcare. As a postdoc at the Research Centre for Gas Innovation (RCGI), I moved into energy-transition problems, from CO₂ storage to fuel cells.
Today I lead the DO&GE Lab, which collaborates with Imperial College London, the Technical University of Denmark (DTU) and LNCC.
Research lines
Each line is open to new students — from undergraduate research to Ph.D. projects.
Binary formulations with integer linear programming, topological derivatives and discrete adjoints for incompressible and compressible flows.
Multilayered two-phase, nonisothermal channel optimization: the first simultaneous anode–cathode design for PEM fuel cells.
Rotors, Tesla pumps and labyrinth seals under compressible turbulent flow, validated with 3D-printed prototypes.
Pioneering formulations for subsonic compressible flow and Spalart–Allmaras turbulence in rotating frames.
Design, manufacturing and testing of ventricular assist pumps, with patents and experimentally validated prototypes.
Neural surrogates and generative models that explore design spaces beyond intuition and slash optimization cost.
How we work
Structural, thermal, fluid and electrochemical multiphysics models.
SIMP, TOBS, level-set and topological derivatives.
ML surrogates and generative AI accelerate the search.
Additive manufacturing and experimental validation.
Latest
People
Since 2024
Topology optimization method applied to the design of compressor …
Simulation and Optimization of Solid Oxide Fuel Cells
Experimental Study of Labyrinth Seal Designed by Topology Optimization · 2024
We're recruiting at every level
No prior optimization experience required for undergraduates — curiosity and commitment are what matter. Graduate positions are funded through FAPESP, CNPq and CAPES.
Scientific Initiation & TCC: MHD thrusters, self-balancing robots, fluidic diodes, ML.
Fuel cells, MHD topology optimization, ML surrogate models and more.
Project-based openings (FAPESP, Shell/RCGI) in TO, CFD and SciML.