Icarus Digital Math
Automated Real Simulation

About Us

DigiMat - Digital Math 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

DigiMat - online digital math education from school to top academic and pro

Try the learning activities in the DigiMat portal!

Contact us (jjan@kth.se) and we will help teachers and students to get started! Accounts are free during the Corona crisis.


Aerodynamics breakthrough

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.


Johan Jansson, Claes Johnson, Ridgway Scott, Massimiliano Leoni, Tamara Dancheva, Ezhimathi Krishnasamy, Rahul Kumar, World-unique Direct FEM prediction of drag - opening new paradigm for aircraft and general design, preprint, 2019

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

Johan Hoffman, Claes Johnson, Resolution of D'Alembert's paradox, Journal of Mathematical Fluid Mechanics, 2011

Johan Hoffman, Claes Johnson, Computational Turbulent Incompressible Flow, Springer, 2007

Claes Johnson, Johan Jansson, Secret of Flight Web Site, 2012- (older format)

Claes Johnson, Johan Jansson, Secret of Flight Web Site, 2020- (new format, to appear)

Our Services

Aerodynamics simulation

We carry out predictive simulation for you.

Digital Math Cloud Supercomputing with support

You can run predictive Digital Math simulations in our Amazon AWS "elastic supercomputer" cloud.

Software package with support

You can run our Digital Math simulations on your own cluster.

Digital Math courses

Take our online Digital Math courses to get started with predictive simulation and learn Digital Math!

Our partners

Leading Formula 1 team

Leading Aircraft company

Leading Airline

Heart Aerospace


Creo Dynamics/Faurecia-Clarion

Nystromer Avionics

Katla Aero

KTH Formula Student

Our projects

ELISE - electrification of aviation

DigiMat - pervasive Digital Math education

Vinnova - innovation verification

Icarus Industrial Benchmarking Consortium


Johan Jansson - CEO and Chairman jjan@kth.se

Claes Johnson - Scientist claesjohnson@gmail.com

Ridgway Scott - Scientist ridg@cs.uchicago.edu

Creative team

Elin Johansson - Creative Director DigiMat

Ninja Agborn - Art Director DigiMat

Predict aerodynamic designs with our breakthrough

Read more about our breakthrough predictive technology, take our courses, and meet our highly merited Team who are passionate about Digital Math.



Johan Jansson and Claes Johnson are part of a new documentary about the famous mathematician Banach!

Our breakthrough in predictive aerodynamics, New Theory of Flight, and our general Digital Math framework is highlighted in a new Polish documentary about the famous mathematician Banach!

As part of the release of the movie, we partiicpated in a panel discussion at a pre-screening at the Östervåla cinema organized by famous Swedish mathematician Per Enflo, see the dynamic discussion below:

Proud member of the Vinnova ELISE step 2 project for electric aviation!

Proud to be a member of the Vinnova ELISE Step 2 project for electric aviation!

See if you can find Johan and Ridg in the photo!

Selected for Brighter Program

Proud to have been selected to the KTH Innovation Brighter Program class of 2019. Meet us in Munich 17-22 November!

Presenting at Almedalen with IVA

Meet us at Almedalen – the Swedish Davos!


DigiMat: general Digital Math education

We present our Vinnova-funded DigiMat project with a video. Contact me if you want to participate in the testing! jjan@kth.se

Partner in ELISE electric aviation

Proud to be part of ELISE project http://elise.aero , now highlighted by Swedish Prime Minister!

Elected to IVA Royal Swedish Academy of Engineering Sciences 100-list

Proud to be elected to the IVA Royal Swedish Academy of Engineering Sciences 100–list!


Selected for KTH Innovation Pre-Incubator!

That’s us in the main photo!


Won Bicky Award!

Proud to have won the Bicky Chakraborty Entrepeneurship Award!