ExaQUte: D2.3. Adjoint-based error estimation routines
2019
Keith, Brendan | Apostolatos, Andreas | Kodakkal, Anoop | Rossi, Riccardo | Tosi, Riccardo | Wohlmuth, Barbara | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental | Universitat Politècnica de Catalunya. Doctorat en Enginyeria Civil | Centre Internacional de Mètodes Numèrics en Enginyeria | Universitat Politècnica de Catalunya. RMEE - Grup de Resistència de Materials i Estructures en l'Enginyeria
This document presents a simple and ecient strategy for adaptive mesh refinement (AMR) and a posteriori error estimation for the transient incompressible Navier{Stokes equations. This strategy is informed by the work of Prudhomme and Oden [22, 23] as well as modern goal-oriented methods such as [5]. The methods described in this document have been implemented in the Kratos Multiphysics software and uploaded to https://zenodo.org [27].1 This document includes: A review of the state-of-the-art in solution-oriented and goal-oriented AMR. The description of a 2D benchmark model problem of immediate relevance to the objectives of the ExaQUte project. The definition and a brief mathematical summary of the error estimator(s). The results obtained. A description of the API.
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