Ryujin is a high-performance second-order colocation-type finite-element scheme for solving the compressible Navier-Stokes and Euler equations of gas dynamics on unstructured meshes. The solver is based on the convex limiting technique introduced by Guermond et al. and uses the finite element library deal.II (website).

As such it is invariant-domain preserving, the solver maintains important physical invariants and is guaranteed to be stable without the use of ad-hoc tuning parameters.

Ryujin is freely available under the terms of the MIT license.

If you use this software for an academic publications please cite the following references (preprint, preprint):

@article{ryujin2020,
  title   = {Massively parallel 3D computation of the compressible Euler
    equations with an invariant-domain preserving second-order
    finite-element scheme}
  author  = {Matthias Maier and Martin Kronbichler},
  year    = {2020},
  journal = {submitted}
}

@article{navier-stokes2020,
  title = {Second-order invariant domain preserving approximation of the
    compressible Navier--Stokes equations},
  author = {Jean-Luc Guermond and Matthias Maier and Bojan Popov and
    Ignacio Tomas},
  year = {2020},
  journal = {submitted},
}

A detailed doxygen documentation can be found here. The doxygen documentation contains detailed Installation and Usage instructions. General information about the overarching software project can be found here.

For questions please contact Matthias Maier [email protected] and Martin Kronbichler [email protected].

• Martin Kronbichler (@kronbichler), Technical University of Munich, Germany
• Matthias Maier (@tamiko), Texas A&M University, TX, USA
• Ignacio Tomas (@itomasSNL), Texas A&M University, Sandia National Laboratories
• Eric Tovar (@ejtovar), Texas A&M University, TX, USA