Adjoint-based Adaptation for the Correction Procedure via Reconstruction Method on Hybrid Meshes

摘要

In this paper, we present an adjoint-based h-adaptation method on hybrid meshes to minimize the output error. A dual-consistent high-order correction procedure via reconstruction method (CPR) is utilized to obtain the adjoint solution and derive the output-based local error indicator. For anisotropic h-adaptations, we use a local output error sampling procedure to find the optimal refinement option. The current method is applied to the Euler and Navier-Stokes equations. Several numerical tests demonstrate the ability of the proposed adaptive method to efficiently reduce the functional errors in terms of the number of degrees of freedom (DOF).