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Event Details

  • Wednesday, May 24, 2017
  • 11:10 - 11:40

Kinetic Energy Balanced DG Schemes Based on SBP Operators on Gauss-Legendre Nodes

Regarding high order discretizations of fluid equations, recent approaches in the simulation of compressible turbulent flow are based on so-called split forms of conservation laws instead of the divergence form in order to guarantee the preservation of secondary physical quantities such as kinetic energy. Conservation of the primary quantities is then achieved by space discretizations with the so-called summation-by-parts (SBP) property. It has been shown that nodal DG schemes based on Gauss-Lobatto nodes and a lumped mass matrix posses this property. Within the framework of a generalized summation-by-parts property, a kinetic energy preserving(KEP)-DG scheme may also be constructed on Gauss-Legendre nodes. This variant is potentially more accurate and may be also more efficient than its Gauss-Lobatto counterpart for certain applications. In comparison to standard DG schemes, a better representation of the kinetic energy spectrum can been shown for homogeneous isotropic turbulence. Furthermore, we may extend the KEP-DG scheme on Gauss-Legendre nodes to moving fluid grids resulting from an ALE formulation of the fluid equations and thus to problems involving mechanical fluid structure interaction.