Digital Math simulation and education

DigiMat – Digital Mathematics represents digitalization of mathematics, society, industry and society in the form of automated and easily understandable computation of mathematical models in the Open Source FEniCS framework with world-leading performance and recognized at the highest level of science and industry together with an effective pedagogical concept with combined abstract theory and mathematical interactive programming in a cloud-HPC web-interface.

With our computational framework you can predict and understand the grand challenges of science and technology.

We are the Red Hat of computational modeling – our Open Source technology transforms the engineering simulation market just like Linux did, and generate enormous econmic value (Open Source Red Hat sold to IBM for 33 billion USD, second largest tech acquisition in history).

Icarus Simulation offers services in:

  • advanced computational simulation: unique adaptive finite element technology
  • digital courses on mathematics and simulation technology

NEW aerodynamics methodology and possibilities

Icarus supported by the Swedish Innovation Agency Vinnova and KTH Innovation are now leading a joint team with world-leading partners to bring the technology to the aerodynamics industry which has the potential to revolutionize computational prediction and efficiency.

Our breakthrough adaptive Direct FEM technology gives fast and reliable prediction of turbulent separated flows for a full vehicle, identified as the main CFD challenge today [NASA Vision 2030, Jameson] with the following features:

  1. No explicit turbulence model
  2. No wall model: slip = small friction
  3. No parameters to fit
  4. First principles – solve purely conservation of momentum + incompressibility
  5. Direct stabilized FEM simulation, automated in Unicorn/FEniCS
  6. No manual mesh design – goal-oriented adaptive error control
  7. High performance – 10x faster and cheaper than Exa/RANS in HiLiftPW-3
  8. Compatible with current CFD workflow – plug-in replacement for CFD solver
  9. Fast and reliable prediction of turbulent separated flows for a full vehicle, identified as the main CFD challenge today [NASA Vision 2030, Jameson]
  10. Extensively validated and compared against world-leading competition at HiLiftPW (NASA/Boeing) and highest level of commercial CFD.
  11. Scientific method – Open Source – reproducible and falsifiable

The flow simulator by Jansson opens the possibility of predicting the performance of new designs with the best possible simulation at given cost.

Scientific excellence

Assc. Prof. Johan Jansson:

  1. Started FEniCS in 2003
  2. BeOS Masters Awards student category at Comdex, Las Vegas, 1998 (age 20)
  3. Published first scientific paper at age 20, first journal paper at age 22 cited by …
  4. PI RAE Asst. Prof. KTH 2016-, 240kEUR
  5. Guarantor Severo Ochoa Center of Excellence BCAM 2013-2017, 4MEUR
  6. co-PI EU Horizon 2020 MSO4SC, ENABLE och EUNISON 2011-2018, 7MEUR
  7. PI KTH MOOC-HPFEM 2016-2019, 25kEUR

Prof. Emer. Claes Johnson:

  1. Started FEniCS in 2003
  2. Humboldt Prize 1990, 60kEUR (German Nobel prize equiv.)
  3. Director Chalmers Finite Element Center (SSF/ABB/Volvo) 1992-2005, 2.6MEUR
  4. ISI Highly Cited

Well-merited team from leading institutions in the world: Politecnico di Milano, Barcelona Supercomputing Center, etc.


Johan Jansson et. al., Time-resolved adaptive direct fem
simulation of high-lift aircraft configurations. Springer Brief:
Numerical simulation of the aerodynamics
of high-lift configurations, 2017.

Johan Hoffman, Johan Jansson, Claes Johnson, New Theory of Flight, Journal of Mathematical Fluid Mechanics, 2015

Johan Hoffman, Johan Jansson, Niclas Jansson, Rodrigo Vilela de Abreu, Claes Johnson, Computability and Adaptivity in CFD, Encyclopedia of Computational Mechanics, 2016

Johan Hoffman, Johan Jansson, Niclas Jansson, FEniCS-HPC: Automated predictive high-performance finite element computing with applications in aerodynamics, Lecture Notes in Computer Science, 2016


For questions or project ideas, please contact Johan Jansson: .