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Analysis of Dual Consistency for Discontinuous Galerkin Discretizations of Source Terms
(Aerospace Computational Design Laboratory, Dept. of Aeronautics & Astronautics, Massachusetts Institute of Technology, 2006-09)
The effects of dual consistency on discontinuous Galerkin (DG) discretizations of solution
and solution gradient dependent source terms are examined. Two common discretizations are
analyzed: the standard weighting technique ...
Anisotropic Grid Adaptation for Multiple Aerodynamic Outputs
(Aerospace Computational Design Laboratory, Dept. of Aeronautics & Astronautics, Massachusetts Institute of Technology, 2007-08)
Anisotropic grid–adaptive strategies are presented for viscous flow simulations in which the accurate prediction of multiple aerodynamic outputs (such as the lift, drag, and moment coefficients) is required from a single ...
Output-based Adaptive Meshing Using Triangular Cut Cells
(Aerospace Computational Design Laboratory, Dept. of Aeronautics & Astronautics, Massachusetts Institute of Technology, 2006-10)
This report presents a mesh adaptation method for higher-order (p > 1) discontinuous Galerkin (DG) discretizations of the two-dimensional, compressible Navier-Stokes equations. The method uses a mesh of triangular elements ...
On Dual-Weighted Residual Error Estimates for p-Dependent Discretizations
(Aerospace Computational Design Laboratory, Dept. of Aeronautics & Astronautics, Massachusetts Institute of Technology, 2011-09-21)
This report analyzes the behavior of three variants of the dual-weighted residual (DWR) error estimates applied to the p-dependent discretization that results from the BR2 discretization of a second-order PDE. Three error ...