@Article{CiCP-26-3,
author = {},
title = {An Adjoint-Based h-Adaptive Reconstructed Discontinuous Galerkin Method for the Steady-State Compressible Euler Equations},
journal = {Communications in Computational Physics},
year = {2019},
volume = {26},
number = {3},
pages = {855--879},
abstract = {<p style="text-align: justify;">In this paper, an adjoint-based h-adaptive high-order reconstructed DG
(rDG) method is introduced for solving the two dimensional steady-state compressible Euler equations. Based on the hybrid reconstruction strategy developed in [9, 28],
adjoint-based a posteriori error estimation is further derived and developed for h-adaption. The formulation of error indicator is carefully investigated in order to deliver better approximation with respect to the error in the computed output functional.
In order to evaluate the performance of the proposed method, an adjoint-based h-adaptive rDG(p<sub>1</sub> p<sub>2</sub>) method is implemented, in which a hybrid p<sub>1</sub> p<sub>2</sub> reconstruction
and a hybrid p<sub>2</sub> p<sub>3</sub> reconstruction are adopted in the primal solver and the adjoint
solver to obtain the primal solution and the adjoint solution, respectively. A number of
typical test cases are selected to assess the performance of the adjoint-based h-adaptive
hybrid rDG method. The hybrid reconstruction strategy combined with h-adaptive
techniques based on adjoint-based error estimate presented in this work demonstrates
its capacity in reducing the error with respect to the computed output functional and
improving the level of accuracy for numerical simulations of the compressible inviscid
flows.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2018-0070},
url = {https://global-sci.com/article/79841/an-adjoint-based-h-adaptive-reconstructed-discontinuous-galerkin-method-for-the-steady-state-compressible-euler-equations}
}