An Anisotropic p-Adaptation Multigrid Scheme for Discontinuous Galerkin Methods

摘要

In this work, we have applied recently developed error estimators and anisotropic p-adaptation methods in conjunction with multigrid solving strategies for solving the compressible Navier-Stokes equations. In particular, we have shown that the coupling of anisotropic truncation error-based p-adaptation methods with p-multigrid schemes can speed up the computation of steady-state solutions of PDEs. The achieved speed-up depends on the desired accuracy, being this method optimal when high accuracy is required (low errors). In particular, a speed-up of 16.13 was achieved for the computation of the steady compressible viscous flow past a NACA0012 airfoil at angle of attack 5° with respect to the uniformly adapted representation without multigrid.