fenicsR13 swMATH ID: 41153 Software Authors: Theisen, Lambert; Torrilhon, Manuel Description: fenicsR13. A tensorial mixed finite element solver for the linear R13 equations using the FEniCS computing platform. We present a mixed finite element solver for the linearized regularized 13-moment equations of non-equilibrium gas dynamics. The Python implementation builds upon the software tools provided by the FEniCS computing platform. We describe a new tensorial approach utilizing the extension capabilities of FEniCS’ Unified Form Language to define required differential operators for tensors above second degree. The presented solver serves as an example for implementing tensorial variational formulations in FEniCS, for which the documentation and literature seem to be very sparse. Using the software abstraction levels provided by the Unified Form Language allows an almost one-to-one correspondence between the underlying mathematics and the resulting source code. Test cases support the correctness of the proposed method using validation with exact solutions. To justify the usage of extended gas flow models, we discuss typical application cases involving rarefaction effects. We provide the documented and validated solver publicly. Homepage: https://arxiv.org/abs/2007.05944 Source Code: https://git.rwth-aachen.de/lamBOO/fenicsR13 Keywords: FEniCS project; R13 equations; tensorial mixed finite element method; continuous interior penalty Related Software: Firedrake; FEniCS-HPC; FEniCS; DOLFIN; Gmsh; FIAT Cited in: 1 Document Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year fenicsR13. A tensorial mixed finite element solver for the linear R13 equations using the FEniCS computing platform. Zbl 07467977Theisen, Lambert; Torrilhon, Manuel 2021 Cited by 2 Authors 1 Theisen, Lambert 1 Torrilhon, Manuel Cited in 1 Serial 1 ACM Transactions on Mathematical Software Cited in 1 Field 1 Numerical analysis (65-XX) Citations by Year