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 A31: Discontinuous Galerkin and High Order Methods
8:00 AM–9:57 AM,
Sunday, November 18, 2018
Georgia World Congress Center Room: B403
Chair: Matthias Ihme, Stanford University
Abstract ID: BAPS.2018.DFD.A31.7
Abstract: A31.00007 : An Enriched Discontinuous Galerkin Method for Representing High-Gradient Features in Fluid Dynamics*
9:18 AM–9:31 AM
Steven R. Brill
Steven R. Brill
Discontinuous Galerkin (DG) methods have difficulty resolving high gradient solutions, such as shocks and boundary layers, without stabilization to remove spurious oscillations or significant mesh refinement in regions of high-gradient feature. We present a DG scheme that enriches the standard basis polynomials with analytical solutions to canonical problems. This strategy allows one to capture large gradient features without spurious oscillations or significant mesh refinement, while also retaining the higher order accuracy of the scheme. We discuss the procedure to choose the analytical enrichment functions and integrate them into the DG framework. The method is evaluated in application to fluid dynamics problems with high gradient solutions, such as boundary layers and transient shock-flow interaction.
*Financial support from the Department of Defense (DoD) through the National Defense Science & Engineering Graduate Fellowship (NDSEG) Program and the NASA Early Career Faculty program are gratefully acknowledged.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2018.DFD.A31.7
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