1
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      High-Order Isogeometric Methods for Compressible Flows. II. Compressible Euler Equations

      Preprint
      ,

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          This work extends the high-resolution isogeometric analysis approach established for scalar transport equations to the equations of gas dynamics. The group finite element formulation is adopted to obtain an efficient assembly procedure for the standard Galerkin approximation, which is stabilized by adding artificial viscosities proportional to the spectral radius of the Roe-averaged flux-Jacobian matrix. Excess stabilization is removed in regions with smooth flow profiles with the aid of algebraic flux correction \cite{KBNII}. The underlying principles are reviewed and it is shown that linearized FCT-type flux limiting \cite{Kuzmin2009} originally derived for nodal low-order finite elements ensures positivity-preservation for high-order B-Spline discretizations.

          Related collections

          Most cited references6

          • Record: found
          • Abstract: not found
          • Article: not found

          Strong Stability-Preserving High-Order Time Discretization Methods

            Bookmark
            • Record: found
            • Abstract: not found
            • Article: not found

            THB-splines: The truncated basis for hierarchical splines

              Bookmark
              • Record: found
              • Abstract: not found
              • Article: not found

              The group finite element formulation

                Bookmark

                Author and article information

                Journal
                28 September 2018
                Article
                1809.10893
                cada94b3-f3c2-40e8-bcbf-65a48198c19b

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                Accepted for publication in the Proceedings of the 19th International Conference on Finite Elements in Flow Problems (FEF 2017)
                math.NA

                Numerical & Computational mathematics
                Numerical & Computational mathematics

                Comments

                Comment on this article