Adjoint-based Mesh Adaptation for the 3D Navier-Stokes Equations with the High-order CPR Method

摘要

The objective of the present work is to extend the adjoint-based error estimate and the adaptive mesh refinement algorithm of the high-order CPR method to the 3D Navier-Stokes equations. A dual-consistent high-order correction procedure via reconstruction method is utilized to obtain the adjoint solution and derive the output-based local error indicator. Several inviscid and viscous flow cases are utilized to evaluate the effectiveness of the present adaptive method. Numerical tests show that significant savings in the number of DOFs can be achieved through the present method.