Review of Output-Based Error Estimation and Mesh Adaptation in Computational Fluid Dynamics

摘要: Error estimation and control are critical ingredients for improving the reliability of computational simulations. Adjoint-based techniques can be used to both estimate error in chosen solution outputs provide local indicators adaptive refinement. This article reviews recent work on these fluid dynamics applications aerospace engineering. The definition adjoint as sensitivity an output residual source perturbations is derive equation, fully discrete variational formulations, adjoint-weighted method estimation. Assumptions approximations made calculations discussed. Presentation formulations enables a side-by-side comparison output-error using finite volume element method. Techniques adapting meshes also reviewed. Recent results from variety laminar Reynolds-averaged Navier-Stokes show power output-based methods robustness computations. However, challenges areas additional future research remain, including computable bounds robust mesh adaptation mechanics.