FEM@LLNL | Axisymmetric MFEM-Based Solvers for Compressible Navier-Stokes Equations & Other Problems
Sponsored by the MFEM project, the FEM@LLNL Seminar Series focuses on finite element research and applications talks of interest to the MFEM community.
On March 1, 2022, Raphaël Zanella of the University of Texas at Austin presented "Axisymmetric MFEM-Based Solvers for Compressible Navier-Stokes Equations and Other Problems." An axisymmetric model leads, when suitable, to a substantial cut in the computational cost with respect to a 3D model. Although not as accurate, the axisymmetric model allows to quickly obtain a result which can be satisfying. Simple modifications to a 2D finite element solver allow to obtain an axisymmetric solver. We present MFEM-based parallel axisymmetric solvers for different problems. We first present simple axisymmetric solvers for the Laplacian problem and the heat equation. We then present an axisymmetric solver for the compressible Navier-Stokes equations. All solvers are based on H^1-conforming finite element spaces. The correctness of the implementation is verified with convergence tests on manufactured solutions. The Navier-Stokes solver is used to simulate axisymmetric flows with an analytical solution (Poiseuille and Taylor-Couette) and an air flow in a plasma torch geometry.
Learn more about MFEM at https://mfem.org/ and view the seminar speaker lineup at https://mfem.org/seminar/.
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