Bulletin of the American Physical Society
71st Annual Meeting of the APS Division of Fluid Dynamics
Volume 63, Number 13
Sunday–Tuesday, November 18–20, 2018; Atlanta, Georgia
Session F21: Boundary Layers: Modeling and Analysis
8:00 AM–9:57 AM,
Monday, November 19, 2018
Georgia World Congress Center Room: B309
Chair: George Park, University of Pennsylvania
Abstract ID: BAPS.2018.DFD.F21.4
Abstract: F21.00004 : Well-posedness of the slip wall boundary conditions for the LES equations*
8:39 AM–8:52 AM
Kevin Patrick Griffin
Kevin Patrick Griffin
Sanjeeb T Bose
(Stanford University, Cascade Technologies Inc.)
A Robin boundary condition admitting instantaneous and local transpiration (but no net transpiration) has been shown to be a suitable boundary condition for wall-modeled large eddy simulation. Well-posedness of these boundary conditions is analyzed through the consideration of the global kinetic energy and entropy evolution equations for the incompressible and compressible LES governing equations, respectively. Most existing analysis of well-posedness of wall boundary conditions consider Dirichlet boundary conditions for the wall normal velocity (no penetration) for the filtered or unfiltered Navier-Stokes equations. The present analysis seeks to identify under which conditions a bounded solution can be expected, which is particularly valuable when the slip lengths are dynamically computed. Preliminary computational results from the LES of a plane channel flow are presented to support these theoretical claims. The global kinetic energy in the domain is shown to grow or decay in time, depending on the procedure for enforcing the slip wall boundary condition.
*Stanford Graduate Fellowship. National Defense Science & Engineering Graduate Fellowship. Lawrence Livermore National Lab computational resources through the Predictive Science Academic Alliance Program II.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2018.DFD.F21.4
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